Astronomy & Astrophysics manuscript no. lsastro February 5, 2008 (DOI: will be inserted by hand later) Spectral energy distribution of the γ-ray microquasar LS 5039 J. M. Paredes1, V. Bosch-Ramon1, and G. E. Romero2,3,⋆ 1 Departamentd’AstronomiaiMeteorologia,UniversitatdeBarcelona,Av.Diagonal647,08028Barcelona,Spain; [email protected], [email protected]. 2 Instituto Argentino de Radioastronom´ıa, C.C.5, (1894) Villa Elisa, Buenos Aires, Argentina; 6 [email protected]. 0 3 Facultad de Ciencias Astron´omicas y Geof´ısicas, UNLP, Paseo del Bosque, 1900 La Plata, Argentina; 0 [email protected]. 2 n thedate of receipt and acceptance should beinserted later a J Abstract. ThemicroquasarLS5039hasrecentlybeendetectedasasourceofveryhighenergy(VHE)γ-rays.This 5 detection,thatconfirmsthepreviouslyproposedassociationofLS5039withtheEGRETsource3EGJ1824−1514, makes of LS 5039 a special system with observational data covering nearly all the electromagnetic spectrum. In 2 order to reproduce the observed spectrum of LS 5039, from radio to VHE γ-rays, we have applied a cold matter v dominated jet model that takes into account accretion variability, the jet magnetic field, particle acceleration, 5 adiabaticandradiativelosses,microscopicenergyconservationinthejet,andpaircreationandabsorptiondueto 9 theexternalphotonfields,aswellastheemissionfromthefirstgenerationofsecondaries.Theradiativeprocesses 0 9 taken into account are synchrotron, relativistic Bremsstrahlung and inverse Compton (IC). The model is based 0 on a scenario that has been characterized with recent observational results, concerning the orbital parameters, 5 theorbitalvariabilityatX-raysandthenatureofthecompactobject.Thecomputedspectralenergydistribution 0 (SED) shows a good agreement with theavailable observational data. / h p Key words. X-rays: binaries – stars: winds, outflows – γ-rays: observations – stars: individual: LS 5039 – γ-rays: - theory o r t s 1. Introduction who place the system at a distance of 2.5±0.1 kpc. The a : radius of the companion star is moderately close to the v Microquasars are radio emitting X-ray binaries with rel- Lagrangepointduringperiastronbutwithoutoverflowing i X ativistic radio jets (Mirabel & Rodr´ıguez 1999). LS 5039 the Roche lobe. In addition, Casares et al. (2005) state wasclassifiedasmicroquasarwhennon-thermalradiation r that the compact object in LS 5039 is a black hole of a produced in a jet was detected with the VLBA (Paredes mass MX = 3.7+−11..30 M⊙. At X-rays, the spectrum of the et al. 2000). New observations conducted later with the source follows a power-law and the fluxes are moderate EVN and MERLIN confirmed the presence of an asym- and variable, with temporal scales similar to the orbital metric two-sided persistent jet reaching up to ∼1000 AU period.Thevariabilityislikelyassociatedwithchangesin on the longest jet arm (Paredes et al. 2002, Rib´o 2002). theaccretionrateduetothemotionofthecompactobject LS 5039 is a high mass X-ray binary (Motch et al. 1997) along an eccentric orbit (Bosch-Ramon et al. 2005a). whose optical counterpart is a bright (V ∼ 11) star of spectral type O6.5V((f)) (Clark et al. 2001). Although Among microquasars,LS 5039is specially relevantfor McSwain et al. (2001, 2004) first derived the period and its proposed association with 3EG J1824−1514 (Paredes theorbitalparametersofthesystem,newvaluesoftheor- etal.2000),anunidentifiedsourceinthe3rdEGRETcat- bitalperiod(P =3.9060±0.0002days,withperiastron alog of high-energy γ-ray sources (>100 MeV; Hartman orb passageassociated to T =HJD 2451943.09±0.10),eccen- et al. 1999). Recently,Aharonianet al.(2005a), using the 0 tricity(e=0.35±0.04),phaseofperiastronpassage(0.0), High Energy Stereoscopic System (HESS), have detected and inclination (assuming pseudo-synchronization, i = LS 5039 at energies above 250 GeV. This detection, that 24.9±2.8◦) have been reported by Casares et al. (2005), confirmsthehigh-energyγ-raynatureofLS5039(Paredes et al. 2000), gives strong support to the idea that mi- Send offprint requests to: J.M. Paredes croquasars are a distinctive class of high- and very high- e-mail: [email protected] energy γ-ray sources. The confirmation of LS 5039 as a ⋆ Member of CONICET high-energyγ-raysource,combinedwiththe factofbeing 2 Paredes, Bosch-Ramon & Romero: Broad-band emission from LS 5039 arunawaymicroquasarejectedfromtheGalacticplaneat EGRET sources (Collmar et al. 2003, Zhang et al. 2005). ∼150km s−1 (Ribo´ etal.2002), stronglyraisesthe ques- Thehigh-energyγ-raydatahavebeentakenfromthethird tion about the connection between some of the remain- EGRETcatalogofhigh-energyγ-raysources(>100MeV; ing unidentified, faint, variable, and soft γ-ray EGRET Hartman et al. 1999). The VHE γ-ray (>100 GeV) data, sources and possible microquasar systems above/below obtained with HESS, are from Aharonian et al. (2005a). the Galactic plane (e.g., Kaufman Bernad´o et al. 2002, The values of the magnitudes and fluxes have been trans- Romero et al. 2004, Bosch-Ramon et al. 2005b). formed in luminosities using the updated value for the LS 5039 was also proposed to be the counterpart of a distance of 2.5 kpc (Casares et al. 2005). All these obser- COMPTEL source (∼1 MeV) (Strong et al. 2001) and vational data are plotted in Fig. 3. BATSE detected it at soft γ-rays (Harmon et al. 2004). In addition to LS 5039, there is another microquasar, 2.1. X-ray lightcurve LS I +61 303 (Massi et al. 2004), that is likely associ- ated with an EGRET source (Kniffen et al. 1997). Both The X-ray lightcurve of LS 5039 observed by RXTE, microquasars have been extensively studied at different foldedinphasewiththeneworbitalperiodvalue,showsa wavelengths,andbothhaveaverysimilarspectralenergy clear smooth peak atphase 0.8 and another marginalone distribution. Bosch-Ramon & Paredes (2004a,b) have ex- atphase0.3(Bosch-Ramonetal.2005a).Thislightcurveis plored with a detailed numerical leptonic model whether hardly explained by accretion through a spherically sym- these systems can produce the level of emission detected metric wind of a typical O type star, due to the high ve- by EGRET (>100 MeV), and the observed variability. locitiesofthewindatinfinity,andalsobecauseofthecon- At VHE, Aharonian et al. (2005b) argue in favor of straints on the stellar mass loss rate (<∼ 10−6 M⊙ yr−1, hadronicoriginofTeVphotonsincasethatγ-raysarepro- Casares et al. 2005). It has been proposed that certain duced within ∼ 1012 cm, and Dermer & B¨ottcher (2005) asymmetriesinthewindcouldproducethesepeaksinthe point to combined star IC and synchrotron self-Compton X-ray lightcurve (Bosch-Ramon et al. 2005a). (SSC) emission to explain the different epoch detections by EGRET and HESS, respectively. 3. Modeling To explain both, the observed spectrum of LS 5039 from radio to VHE γ-rays and the variability, we have 3.1. An accretion model for LS 5039 applied a broad-band emission model, based on a freely expandingmagnetizedjetdynamicallydominatedbycold To reproduce approximately the variations in the X-rays, protons and radiatively dominated by relativistic leptons we have assumed the existence of a relatively slow equa- (Bosch-Ramonet al. 2005c). In this paper we present the torial wind (outflowing velocity ∼ 6×107 cm s−1) that results obtained after applying such model to LS 5039. would increase the accretion rate up to the (moderate) The compiledobservationaldatacoveringthe full electro- levels required by the observed emission in the context magnetic spectrum is given in Sect. 2. In Sect. 3 a brief of our model, and would produce a peak after perias- descriptionofthemodelisprovided,andtheparametersof tron. Although the existence of low velocity flows is not the modelarediscussed.TheresultsobtainedforLS5039 yet well established, it seems that it would not be a rare are presented in Sect. 4, and the work is summarized in phenomenon among the massive wind accreting X-ray bi- Sect. 5. naries. This is, for instance, the case of the O9.5V star BD +53◦2790, whose ultraviolet spectrum reveals an ab- normally slow wind velocity for its spectral type (Ribo´ 2. Observational data of LS 5039 et al. 2005). Only a small fraction of the wind being We compile here the observational data from the lit- slower at the equator is enough to increase significantly erature. The radio data, obtained at 20, 6, 3.5 and the accretion rate along the orbit if one assumes pseudo- 2 cm wavelengths with the VLA, are from Mart´ı synchronization. In this case, the orbital plane and the et al. (1998). The optical and infrared data, covering the plane perpendicular to companion star rotation axis will bands UBVRIJHKL, are from Clark et al. (2001) and be likely the same (Casares et al. 2005), allowing for the Drilling (1991), and have been corrected for absorption compact object to accrete from this slow equatorial wind (A = 4.07, Casares et al. 2005). The X-ray data (3– all along the orbit. V 30 keV), obtained with RXTE, are from Bosch-Ramon To explain the second peak we have introduced a et al. (2005a), being diffuse background subtracted. The stream,withavelocityof5×106cms−1andanadditional (20–430 keV) data, obtained with the BATSE Earth oc- masslossrateof∼1%ofthe normalwind,thatisformed cultation technique, are from Harmon et al. (2004). The nearperiastronpassagewhentheattractionforcebetween (1–30 MeV) data are from Zhang et al. (2005), obtained thetwocomponentsofthesystemisatitsmaximum.This with COMPTEL, whose flux values, however, should be slower matter stream would produce a very delayed peak taken as an upper limit. This is due to the source region at phase 0.7. The formation of a matter stream, due to defined by the COMPTELγ-raysource,GRO J1823−12, gravitational stress at the smallest orbital distances, is at galactic coordinates (l=17.5◦, b = −0.5◦), contains notunusualinclosebinarysystemslikeLS5039.Wehave in addition to LS 5039/3EG J1824−1514 two additional used the approach followed by Leahy (2002) to explain Paredes, Bosch-Ramon & Romero: Broad-band emission from LS 5039 3 energy, directly related to the kinetic energy carried by 8 shocks in the plasma. The number of relativistic particles that can be produced along the jet is constrained by the 7 limited capability of transferring energy from the shock itself to the particles,and by the fact that the relativistic M/yr]sun 6 ppraerstsiculreemmauxsitmbuemkeepnterbgeyloiwsltihmeitceodldbpyrtohteonacpcreelsesruarteio.nTehfe- −9x10 5 fiTchieenaccycealnedratthioenloecffialcieennecrygydelopsesnedssinonthsehaovcakilapbrolepesprtaicees:. dt [ shock strength, shock velocity, magnetic field direction, / Macc(cid:19) 4 and diffusion coefficient (e.g., see Protheroe 1999). It has d been parametrized due to the lack of knowledge of the specific details of the shock physics for this case. 3 2 0 0.2 0.4 0.6 0.8 1 Inourscenario,thejetformationismainlyconstrained orbital phase by a characteristic launching radius, where the ejected matter gets extra kinetic energy from the accretion reser- Fig.1. Accretion curve along an orbital period inferred voir, and by the accretion energy reservoir itself, which from the observed X-ray lightcurve in Bosch-Ramon varies along the orbit. The modeling of the accretion rate etal.(2005a),adoptingtheaccretionmodeldevelopedfor changesallowstointroducevariabilityinaconsistentway. this work. Moreover, since the interaction angle between jet leptons andstarphotonschangeswith the orbitalphase,variabil- theX-raylightcurveofGX302–1,alsowithapeakbefore ity naturally appears at very high energies (see below). periastronpassage.Although there is still a shift of 0.1in Finally, we have approximately computed the effects pro- phase between the model peaks and the observed ones, it duced on the SED by the photon absorption under the is importantto note that there is likely anaccretiondisk, external photon fields as well as the IC radiation of the andthe matter thatreachesthe disk spends some time in first generation of secondaries inside the binary system. ituntilpartofthismatterisejectedasajet(alower-limit In Fig. 2, we show the photon absorption coefficient as a fortheaccretiontimeisthefreefalltime,implyingashift function of the photon energy, at different distances from of ∼0.06 in phase, when falling from 1012 cm). The ac- the compact object, during periastron and apastron pas- cretion rate evolution obtained from the model described sages. It is seen that the corona and disk photon fields here is shown in Fig. 1. (regions of ∼ 108 cm) attenuate slightly the high-energy γ-ray photons in the inner part of the jet. At VHE, star photonabsorptiondominatesfordistances<∼1013cm,i.e., 3.2. A leptonic jet model for LS 5039 broad-band within the binary system. At greater distances, absorp- emission tion goes down to negligible values. Photon absorption is A new model based on a freely expanding magnetized higher at periastron than at apastron passage,due to the jet, whose internal energy is dominated by a cold proton dependence of the stellar photon density with the orbital plasma extracted from the accretion disk, has been de- distance, although for large distances from the compact veloped in a previous work (Bosch-Ramon et al. 2005c). object,the opacitiesatbothorbitalphases becomeequal. The cold proton plasma and its attached magnetic field, Our results are similar to those obtained by B¨ottcher & thatis frozento matter andbelow equipartition,provides Dermer (2005) and Dubus (2005), that present a detailed aframeworkwhereinternalshocksaccelerateafractionof analysisofthe effectofγγ absorptionofVHE γ-raysnear theleptonsuptoveryhighenergies.Theseacceleratedlep- the base of the jet of LS 5039. Moreover, the energy de- tons radiate by synchrotron, relativistic Bremsstrahlung pendence of the opacity on the ambient photon fields to with the stellar wind (external) and within the jet (inter- the γ-ray propagation and its variation with the distance nal), and IC processes. In this model, the external seed is not much different from that obtained for the micro- photons that interact with the leptons of the jet by IC quasarLSI +61303atits periastronpassage(Romero et scatteringcome fromthe star,the disk and the corona.A al. 2005). blackbody spectrum is assumed for the star and the disk, and a power-law plus an exponential cut-off spectrum for the corona.The SSC radiationhasalsobeencomputedas Finally, we note that our model does not take into ac- well as the Bremsstrahlung and Compton self-Compton count the radiative contribution from relativistic protons radiation, being the radiation of the last two mechanisms that could be accelerated along with the leptons. These negligible. protons can cool through interactions with ions from the The dissipated shock kinetic energy that goes to rela- stellar wind producing additional γ-ray emission at high tivisticparticlescomesfromthemeanbulkmotionkinetic energies (Romero et al. 2003, 2005). 4 Paredes, Bosch-Ramon & Romero: Broad-band emission from LS 5039 2 Table 1. Primary parameter values. 108 cm 1012 cm 1 1014 cm 1015 cm Parameter and unit value periastron e:eccentricity 0.35a apastron a:orbital semi-major axis [cm] 2.2×1012 a 0 θ: jet viewing angle [◦] 24.9a τ)γγε m˙w:stellar mass loss rate [M⊙ yr−1] ∼7×10−7 a log ( −1 MR⋆x::sctoemllaprarcatdoibusje[cRt⊙m]ass [M⊙ ] 93..37aa M⋆: stellar mass [M⊙] 22.9a L⋆: stellar bolometric luminosity [erg s−1] 7×1038 a −2 T⋆: stellar surface temperature [K] 3.9×104 a p:electron power-law index 2.2b c Γjet: jet injection Lorentzfactor 1.1 χ:jet semi-opening angle tangent 0.1c −3 8 9 10 11 12 13 kT : disk innerpart temperature[keV] 0.1 disk log (photon energy [eV]) pcor: corona photon index 1.6 z0: Jet initial point [RSch] 50 Fig.2. The photonabsorptioncoefficient as a function of κ: jet-accretion rate parameter 0.1d the energy for photons emitted in the jet at different dis- tances from the compact object, at periastron and apas- a b c Casares et al. (2005), Bosch-Ramon et al. (2005a), Paredes tron passages. d et al. (2002), Fender(2001), Hujeirat (2004). 3.3. Parameters of the model Table 2. Secondary parameter values. Themodelinvolvesalargenumberofparametersbecause it aims at reproducing the broad-band spectrum by tak- ingintoaccountseveralphysicalmechanisms.However,in Parameter and unit value the case of LS 5039 an important fraction of the param- ξ: shock energy dissipation efficiency 0.5 eters are well established from observational data or can fB: B to cold matter energy density ratio 0.01 beeasilyestimatedfromsomereasonableassumptions.We η: acceleration efficiency 0.1 call these parameters ‘primary parameters’. The remain- Vw:equatorial wind velocity [cm s−1] 6×107 ing ‘secondary’ parameters can be reduced to a manage- m˙jet: jet injection rate [M⊙ yr−1] 4×10−10 ablenumber.InTable1wepresenttheprimaryparameter ζ: max. ratio hot to cold leptons 0.1 valuesofourmodel.The firsthalfofthem arethe param- rl: launchingradius [RSch] 9 eters describing the binary system and their components. Vstream: periastron stream velocity [cm s−1] 5×106 WeadoptupdatedvaluestakenfromCasaresetal.(2005). The electron power-law index (inferred from X-ray pho- ton indices found by Bosch-Ramon et al. 2005a), the jet ejectionLorentzfactor(Paredesetal. 2002)andthe tan- producedifferentspectralandvariabilitypropertiesofthe gent of the jet semi-opening angle (Paredes et al. 2002) source. They are summarized in Table 2. The shock en- are parameters estimated and/or adopted previously by ergy dissipation efficiency, ξ, that gives the energy dissi- other authors. Regarding the jet ejection Lorentz factor, pated by shocks in the jet, has been taken(Bosch-Ramon although it seems well established that the jet is mildly et al. 2005c) to be at most the half of the kinetic energy relativistic (Paredes et al. 2002), no direct jet velocity es- of the shock to get enough luminosity at energies beyond timate hasbeenobtaineduntilnowandwehavefixedthe X-rays1. The ratio of the magnetic field (B) energy den- Lorentzfactorto1.1.Thevaluesadoptedforthediskinner sity to the cold matter energy density has been fixed to parttemperatureandthecoronaphotonindexcorrespond fB =0.01takingintoaccountX-rayflux constraintsfrom totypicalvaluesfoundinothermicroquasars,becausethe observations (Bosch-Ramon et al. 2005a). The accelera- X-rayspectrumofLS5039onlyprovidesclearupperlimits tion efficiency parameter, η (×qeBc), has been fixed such totheluminositiesofbothdisk(L ≃1034 ergs−1)and that the maximum energy photons reach the energies at disk corona(L ≃1034 ergs−1) (Bosch-Ramonetal.2005a). which the source has been detected by HESS. This value cor The jet-accretion rate parameter, κ, that gives the ratio 1 This does not mean that half of the shock kinetic energy between the jet matter injection rate and the accretion is dissipated through shocks, but that it might be so in case rate,hasbeentakentobesimilartoobservationalandthe- that the energy losses would require it, i.e., the shock could oretical estimates (see, e.g., Fender 2001, Hujeirat 2004). be radiatively efficient up to a 50% of the kinetic energy in Next, we describe the secondary parameters of the the regions where energy losses are very strong (the total jet model, which have been adopted in order to better re- energy lost through radiation is about 15%). Paredes, Bosch-Ramon & Romero: Broad-band emission from LS 5039 5 for η is in agreement with that of a strong and transrela- thejet,ourcomputedfluxesat5GHzareabout10,6and tivisticshockwithamagneticfieldparalleltoitsdirection 0.1 mJy for the inner part of the jet (< 1 AU), at mid- of motion and a diffusion coefficient close to the Bohm dle distances fromthe origin(1–1000AU) andbeyond(> limit (Protheroe 1999). The stellar wind velocity in the 1000 AU), respectively. This roughly reproduces the ex- vicinity of the compact object (V ), estimated in Sect. 2, tended emission of the radio source observed using VLBI w is likely affected by peculiarities of the star (e.g., close to techniques (Paredes et al. 2002). but not suffering Roche-lobe overflow, fast rotation, etc; AttheX-rayband,mostoftheemissionissynchrotron seeCasaresetal. 2005).Thisvelocityimplies,alongwith radiation coming from the relativistic electrons of the jet the knownstellar mass loss rate (see Table 1) and assum- and only a marginal contribution comes from the disk ing isotropic flux, a mean accretion rate along the orbit and almost a null contribution from the corona compo- of m˙acc ∼4×10−9 M⊙ yr−1 (i.e. ∼5% of the Eddington nents (see also, e.g., Markoff et al. 2001). Although the rate).Fromthis value andκ, the jet matter injectionrate XMM-Newton data does not show evidences of a thermal canbederived:m˙jet ∼4×10−10M⊙ yr−1.Inordertotry diskcomponent(Martocchiaetal.2005),wehaveadopted tosatisfyboth,the assumptionthatthe jetiscoldmatter in our model a disk with moderate luminosity. The role dominated and the observed optically thin nature of the played in the model by this component is negligible, and radio spectrum, we have fixed the maximum number of its contribution appears in Fig. 3 as a small bump over relativistic leptons2 to be ζ = 0.1 of the total number of the power-law spectrum below 1 keV. The computed X- particles in the jet. This is higher than the value used by rayluminositiesandphotonindicesareveryclosetothose Bosch-Ramon et al. (2005c). The implications of this are detected so far (see next section and also Bosch-Ramon discussed in Sect. 4. Finally, the launching radius can be et al. 2005a). estimatedtobe∼9R ,sincetheenergytoejectthejetis Gallo et al. (2003) have proposed that radio emitting Sch assumedtobeaccretionenergytransferedandtheLorentz X-raybinaries,wheninthelow-hardstate,followapartic- factor is roughly known (Bosch-Ramon et al. 2005c). ular correlation concerning radio and X-ray luminosities. We note that we are not fitting data but reproducing Inthecontextofthiscorrelation,LS5039isprettyunder- a broadband spectrum as a whole. This implies that the luminousatX-rays,presentingapermanentlow-hard-like values of the parameters used by the model are approx- X-raystate.Thiscouldbeexplainedbythefactthatitsra- imated. The parameters in Tables 1 and 2 not obtained dioemissionis opticallythin,comingmainlyfromregions directly from observations have a range of validity within outsidethebinarysystem,insteadofbeingopticallythick 10% for p, Γ , kT , p , V and V ; and within a and completely core dominated (as in the case of mod- jet disk cor w stream factor of a few for z0, κ, ξ, fB, η, m˙jet, ζ and rl. els such as the one presented by Markoff et al. 2001, see also Heinz & Sunyaev 2003). As noted above,it might be qualitatively explained by the increasein relativistic elec- 4. Results trons predicted by our model, although the issue requires 4.1. Spectral energy distribution of LS 5039 further investigation since our radio spectrum is still too hard. Figure3showsthe computedSED(continuousthickline) At BATSE and COMPTEL energies, the main con- of LS 5039 at the periastron passage (phase 0.0) using tributionstill comesfromsynchrotronemissionofthe jet. the physicalparameterslistedin Tables 1 and2.We have Thereisasmalldisagreementbetweenthepredictedlumi- plotted also the contributions from the star, disk, corona nosityandtheoneobservedbyBATSE.However,wenote andsynchrotronradiationaswellas the inverseCompton that these data are averaged along many days (Harmon emissionandrelativistic Bremsstrahlung.Inthe samefig- et al. 2004), whereas the plotted SED is computed at ure we plot also the observationaldata. phase 0.0, when the accretion is significant though not There is a general agreement between the model and the highest. At the COMPTEL energy range, as noted the observed data, although there are some discrepancies above,the moderate disagreementbetween the computed that require some explanation. First at all, we note that and observed data is likely produced by the fact that the multiwavelength data were not taken simultaneously, the MeV radiation coming from the COMPTEL source and this can be an important source of discrepancy for GROJ1823−12,to whichLS5039is associated,mightbe any time-dependent model. a superposition of the MeV emissions of the three differ- Attheradioband,thecomputedspectrumhasaspec- ent EGRETsourcesthatare inthe fieldof view (Collmar tral index of 0.3, instead of the observed ∼0.5 (Mart´ı et al. 2003). This means that the data from COMPTEL et al. 1998; where Fν ∝ ν−0.5). It seems that an addi- shouldbeactuallytakenasanupperlimit.Insuchacase, tional process, not contemplated in our scenario, rises up our computed values would be consistent with the data. thenumberofelectronsemittingopticallythinradioemis- Athigh-energyγ-rays(0.1–10GeV),thecomputedlu- sion(e.g.,interactionswiththewindortheenvironment). minosities are similar to those observedby EGRET while Concerningthespatialdistributionofradioemissionalong thecomputedphotonindicesareslightlyharder.Thisfact 2 The numberof relativistic leptonsis fixedbyξ,ζ, andthe could be naturally associatedwith the low temporal reso- condition that their relativistic pressure cannot dominate the lutionofEGRET,withtheshortestviewingperiodsspan- cold particle pressure. ning for one week and providing time averaged spectra 6 Paredes, Bosch-Ramon & Romero: Broad-band emission from LS 5039 38 star VLA RXTE BATSE COMPTEL EGRET HESS 36 ) star IC ] s / g 34 r sync. e [ corona ε L SSC ε ( g o 32 corona IC l int. Bremsstr. disk 30 ext. Bremsstr. disk IC 28 −5 −3 −1 1 3 5 7 9 11 13 log (photon energy [eV]) Fig.3. ComparisonofthespectralenergydistributionofLS5039computedfromthepresentmodel,attheperiastron passageandusingtheparametersofTable1,withtheobserveddata.Weshowthedifferentcomponentsoftheemission aswellasthesumofallofthethem,whichisattenuatedduetoγγabsorption(solidline).Thepointsobservedarefrom Mart´ı et al. (1998) (VLA, diamond), Clark et al. (2001) and Drilling (1991) (optical, circle, corrected of absorption), Bosch-Ramon et al. (2005a) (RXTE, square), Harmon et al. (2004) (BATSE, diamond filled), Collmar et al. (2003) (COMPTEL,squarefilled),Hartmanetal.(1999)(EGRET,circlefilled)andAharonianetal.(2005a)(HESS,triangle down filled). The arrows in the EGRET and HESS data represent upper limits (3σ). that could mask harder ones. We note however that, be- the periastron passage due to a higher photon density as cause of the possible effect of pair creation in the jet, the well as a smaller interaction angle between the electrons slopes of the SEDs athigh-energyγ-rays,unlike the com- and the photons, which influences the IC scattering. The putedluminosities,arenotveryreliable(seeBosch-Ramon contribution from the the SSC component is minor, al- et al. 2005c). The dominant component at this band of thoughis more significantatapastronthanatperiastron. thespectrumisstarIC,whereasthesynchrotronradiation The VHE spectrum is strongly affected by the γγ opac- is only important at the lower part of EGRET energies. ity due to pair creation within the binary system, being Theemissionofsecondarypairscreatedwithinthebinary the absorption stronger at the periastron passage. It ap- system is not significant. pears therefore unavoidable an important decrease of the emission as well as an additional source of variability at AtVHEγ-rays,starICemissiondominates.Thespec- those energies. Also, a hardening of the emission, as seen trum reaches several TeV, and it is limited by the max- in Fig.3,couldtake place.Our modelunderestimates the imum particle energy, which can reach ∼ 10 TeV. The TeV emission, although the difference is less than one or- contribution of the star IC scattering is favored during Paredes, Bosch-Ramon & Romero: Broad-band emission from LS 5039 7 derofmagnitude.Possibly,somehighenergyprocessesin- 30.70 volvingparticleaccelerationandemissionaretakingplace 5 GHz inthejetatmiddlescales,wherethe100GeVphotonab- 30.30 sorption is not important. This could also be related to 29.90 the opticallythinnature ofthe radioemission.Thisouter emission would not be as variable as the emission from 29.50 the compact jet. In any case, a deeper treatment at this 34.70 5 keV energy band concerning VHE emission and pair creation 34.50 phenomena is required (Khangulyan & Aharonian 2005). The results obtained by applying other leptonic mod- 34.30 e2l0s05(e).gd.oBnoostchd-iRffearmsounbsettanatli.a2ll0y0f5rbo,mDtehremceorm&prBeh¨oettncshiveer erg/s]) 34.10 model presented here, which can explain the broad-band L [ε 34.40 300 MeV ε emission from LS 5039. Otherwise, hadronic models can g ( 34.00 o reproduce the emission at VHE energies (Romero et al. l 33.60 2003) though it is hard to explain how typical EGRET fluxescouldbe achieved(Romeroetal.2005).Comparing 33.20 32.40 both types of model, it seems that the leptonic ones can 500 GeV explainbetterthanthehadroniconesthebroadbandspec- 32.20 trumatleastupto∼1GeV,beingbothsuitableathigher energiessincetheenergeticrequirementsarenotasstrong 32.00 as those to explain the whole emission from the source. 31.80 0.0 0.2 0.4 0.6 0.8 1.0 orbital phase 4.2. Variability properties of LS 5039 Fig.4. Thepanelshowsthefluxvariationsalongtheorbit Once the accretion model has been applied to reproduce for the four energy bands considered here. We note that roughlytheX-raylightcurve,weexplorewhatarethecon- emissionatveryhigh-energyγ-raysisstronglyattenuated sequences at the other bands of the spectrum. In Fig. 4 by the photon absorption in the star photon field. we show the flux variations along the orbit at four en- ergy bands. At radio and X-ray energies, the predicted flux variations are well correlated with accretion, since At phases 0.2-0.3,a smaller peak is seen, which might be they have similar shapes to the accretion orbital curve detected eventually in future VHE observations. We note (see Fig. 1). The predicted amplitude variations are of that, as it is seen in Fig. 2, if TeV emission comes from about one order of magnitude in radio and a factor of distancestypicallylargerthanthesemi-majororbitalaxis three at X-rays, although we note that, if the radio emit- itwouldnotbesignificantlyattenuatedbyphotonabsorp- ting region is large enough, say 1015 cm, the variations tion. In such a case, variability would be limited by the at these wavelengths will be significantly smoothened by size of the emitting region. light crossingtime limitations (as it seems to be the case, see Rib´o (2002). The variations of the radio spectral in- 5. Comments and conclusions dicesalongtheorbitarenottreatedhere,duetothemodel limitations at radio. However, we mention that the X- We have applied to the microquasar LS 5039 a cold mat- ray photon index shows a trend similar to that found by terdominatedjetmodelthattakesinto accountaccretion Bosch-Ramonetal.(2005a),i.e.higherfluxeswhenharder variability,thejetmagneticfield,particleacceleration,mi- spectra. Nevertheless, the anticorrelation is not as strong croscopicenergyconservationinthejet,andpaircreation as that observed. Emission at EGRET energies varies al- and absorption due to the external and internal photons, most one order of magnitude, although the shape of the as well as the emission from the first generation of secon- lightcurve is different because of the higher rate of IC in- daries under the external photon fields. teractionduringphase0.0duetoangulareffects.AtVHE, ThecomputedSEDfromradiotoVHEγ-rayshasbeen however, the emission is strongly absorbed by the stel- compared with the available observationaldata, gathered lar field, producing a dip around periastron passage. At atdifferent bands of the electromagnetic spectrum,show- phases0.6–0.9,thereisalongstandingpeakthatisrelated ing in general a good agreement. Although the model is to the stream related peak at phase 0.7 (0.8) that is not limited by its phenomenological nature, we can extract close enough to the stellar companion for banishing due some general conclusions that could be useful to under- to γγ absorption. A similar peak seems to be present in standthephysicsbehindtheseobjectsaswellasforgoing HESSdata(Aharonianetal.2005a)whenfoldedinphase deeperinmorebasictheoreticalaspectsconcerningthejet withthe new ephemerisofCasaresetal.(2005),although plasmacharacteristics,particleaccelerationandjetforma- furtherobservationsshouldbecarriedouttoconfirmthis. tionphenomena.Inparticular,inthecontextofourmodel, 8 Paredes, Bosch-Ramon & Romero: Broad-band emission from LS 5039 wecanstatethatthejetsareradiativelyefficient(∼15%) Dermer, C.D. & B¨ottcher, M. 2005, ApJ, submitted, andsitesofparticleaccelerationuptomulti-TeVenergies. (astro-ph/0512162) Otherwise, accretion processes are radiatively inefficient. Drilling, J.S., 1991, ApJS, 76, 1033 The strong absorption of VHE γ-rays by the stellar Dubus,G., 2005, A&A,submitted,(astro-ph/0509633) Fender, R.P. 2001, MNRAS,322, 31 photon field seems to make hard the detection of high Gallo, E., Fender, R. P., & Pooley, G. G. 2003, MNRAS,344, fluxes of radiation if they are generated in the inner re- 60 gions of the jet, closest to the compact object. Possibly, Harmon, B. A., Wilson, C. A., & Fishman, G. J. et al. 2004, since the source is not very faint at these energies, some ApJS,154, 585 high energy processes involving particle acceleration and Hartman, R. C., Bertsch, D. L., & Bloom, S. D. et al. 1999, emissionaretakingplaceinthejetatmiddlescales,where ApJS,123, 79 the 100 GeV photon absorption is not important. This Heinz, S. & Sunyaev,R. A.2003, MNRAS,343, L59 could also be related to the high fluxes and optically thin Hujeirat, A.2004, A&A,416, 423 nature of the radio emission. Variability at these energy KaufmanBernad´o,M.M.,Romero,G.E.,&Mirabel,I.F.2003, bandscouldprovideinformationaboutthelocationofthe A&A,410, L1 particle acceleration processes and emitting regions. Khangulyan,D. & Aharonian, F. A. 2005, in preparation Kniffen, D. A., Alberts, W.C.K., Bertsch, D.L., et al., 1997, Changesintheaccretionrateduetotheorbitaleccen- ApJ,486, 126 tricity and a particular wind density profile can explain Leahy,D. A.2002, A&A,391, 219 thespectralandvariabilitypropertiesobservedatX-rays. Markoff, S.,Falcke, H., & Fender,R.2001, A&A,372, L25 It hints to a companion stellar wind that is not spheri- Mart´ı, J., Paredes, J. M., & Rib´o, M. 1998, A&A,338, L71 cally symmetric nor fast in the equator, since otherwise Martocchia,A.,Motch,C.,Negueruela,I.2005,A&A,430,245 the γ-ray radiation could not be powered. Massi, M.,Rib´o,M.,Paredes, J.M,etal.2004, A&A,414, L1 We conclude that, with reasonable values for the dif- McSwain, M. V., Gies, D. R., Riddle, R. L., Wang, Z., & ferentparameters,our model seems to be goodenoughas Wingert, D. 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