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Formation Scenario of Magnetars: The Puzzle of Isolation Nirvikar Prasad RamanResearchInstitute,Bangalore560080,INDIA Abstract. Magnetars(SGRsandAXPs)areoneofthemostevolutionarypathsofaneutronstar.Theseobjectshaveanultra- strongmagneticfieldB∼1015GattheirsurfaceandshowpersistentX-raypulsationsandtransientbursts.Tilldatethereare 8 14magnetarsknown:5SGRs(4confirmed,1candidate)and9AXPs(7confirmed,2candidates).Itisanopenpuzzlethatall 0 theseobjectsareisolatedandnonehavebeenfoundinbinaries.Wediscusstheformationscenariowhichcanleadtosucha 0 situation. 2 Keywords: magnetars,binaryevolution n PACS: 97.60.Bw,97.60.Gb,97.60.Jd a J INTRODUCTION Duetophotodisintegrationandneutrinolossestheshock 9 stalls a few thousand kms from the PNS which mean- ] Magnetars (SGRs and AXPs) are neutron stars having while continues to accrete. In the post bounce phase h a surface magnetic field, B ∼ 1015 G. SGRs are high- thePNSdeleptonisesintheKelvin-Helmholtztimescale p energytransientburstsourcesandinquiescentphaseare t ∼30semitting∼1053ergs.ThePNScontracts,spins - KH o X-ray pulsars whereas the AXPs are a quieter version upandaneutronstarofradius10kmisborn.Theexact r andshowonlypersistentX-raypulsations[1].The spin mechanism which leads to the reversalof core-collapse t s periodsof magnetarslie ina narrowrangeof(5–12s). into a supernova explosion is not yet fully understood a Most of them lie close to the galactic plane implying [2]. [ that magnetars are young objects. All of them are iso- The basic question is that what could be happening 1 lated. This fact can be attributed to the small statistics duringthesupernovawindow,i.e.differentstageswhich v available. But if this is not true and magnetars discov- areinvolvedinthesupernovaexplosion,whichcanlead 5 eredinthe futurearealso foundtobe isolatedthenthis to disruption? It has been suggested that magnetar pro- 6 3 becomesoneofthemostinterestingpuzzles,answersto genitorsaremassive[3].Assumingthistobethecasea 1 whichwillshedlightontheirformationscenario.Ifthe magnetarbinarywillhavealargemassratio,q≡M /M . 1 2 . progenitor of a magnetar has a binary companion then The simplest case for disruption is when the explosion 1 0 something must be happening during the formation or leads to the loss of more than half of the mass of the 8 thesubsequentevolutionstagewhichleadstothedisrup- system(M1+M2)/2,thenthebinarywilldisrupt,since 0 tionofthebinary.Hereweassumethatsuchisthecase theorbitalvelocitywillexceedtheescapevelocityofthe : and qualitatively speculate on the possible scenarios in companion[4]. v i whichthiscanoccur.Wefirstconsiderthepossibilityof Core-collapse is one of the stages in the supernova X binarydisruptionduringthe differentstages which lead window where understandingaboutall the variablesin- r toasupernovaexplosionandaprotomagnetar.Thenwe volved is yet to happen. Specifically, there has been a a discussamagnetarinabinaryandlookatitsevolution. recentrevivalof interest in the possible role of rotation andmagneticfieldintheexplosionmechanismofcore- collapsesupernovae.LeBlancandWilson[5]foundthat MAGNETAR FORMATIONSCENARIO whenastrongmagneticfieldiscombinedwithrotation, the corecollapseproducesanaxialjet. Recentobserva- We begin by exploringthe case of disruption of the bi- tional studies of the polarization of supernovae and re- nary due to the supernova explosion of the magnetar latedissueshasleadtothefirmconclusionthatcorecol- progenitor. The successful birth of a neutron star in- lapse supernovaearealwaysasymmetricandfrequently volves a number of stages. It starts with core-collapse bi-polar [6]. It is quite possible that progenitor rotation ofabout1.5M⊙ ofiron-groupelementsofradius∼few and magnetic field along with the progenitor mass and thousandkmswhichduetothecollapsebecomesaneu- metallicity play an important part in the core collapse tronrichsphereofradiusabout50kms,aproto-neutron andsubsequentexplosion.Intheprocessofcore-collapse star (PNS). The abrupt halt of the collapse of the inner strong toroidal magnetic fields will be generated which core due to repulsive nuclear forces generates a shock can produce magnetocentrifugal jets [7]. Also the oc- wave which passes through the outer half of the core. currence of magnetorotational instabilities in the core- collapse phase has been investigated [8]. How does the separationdecreasesslowly.Weknowfromthetheoryof magnetocentrifugaleffecttranslate forthe case of mag- stellarstructurethatasastarevolvesthefractionofstel- netarsandwhatspecialcircumstanceslead totheir pro- larmatternearthesurfaceincreases.Thusmoreevolved duction and accompanyingenergies and kicks are open stars can exert greater gravitationaltorques on the neu- questions and areas of current research, see for eg. [9]. tron star. The orbital decay timescale, which decreases One possibility,for example is that in the core-collapse as the gravitationaltorquesincreases, is thus dependent supernova of a magnetar progenitor, the magnetic field ontheevolutionarystateofthecompanionstar.Formore androtationinconjunctionwithothervariablesmayend evolved giant configuration the orbital decay timescale upimpartingahighkickvelocitytothemagnetarinvari- becomesshorterand the spiral-inis faster. Eventuallya ablywhichmaydisruptthebinary. tightlyboundspiralresultsastheorbitalvelocitiesofthe Another important interval where huge (∼1053ergs) twocoresexceedtherotationalvelocityoftheenvelope. amounts of energy is emitted is the Kelvin-Helmholtz Thisrapiddecayacceleratesthegasneartheneutronstar timescale tKH ∼ GM2/Ln R where Ln is the total neu- andthecoreofthegiantwhichleadstosupersonicveloc- trinoluminosity.ThisiswherethePNSdeleptonisesand ities andthe generationofshock.These shockstransfer thecompactstarisborn.Inthecontextofmagnetarsthis orbitalangularmomentumtothespinoftheCEandthe is the interval when the strong poloidal magnetic fields CEisspunup. areestablishedviathea –W dynamo[10].Theprotomag- As a result the matter near the two cores is spun up netarwhichis bornrapidlyrotatinglosetheir rotational andthisleadstotheonsetofmasslossfromthesystem. energy,∼1052ergs,efficientlytotheco-rotatingmagne- Thishappensbecause,dueto the spin of matter,the ef- tizedwind[11].Thespindowntime-scale,t ∼w˙/w ∼ fectivegravitydecreaseswhichleadstounbalancedpres- J (2/5)(M˙/M)(rNS/rA)2 whererNS and rA are the neutron sure gradients. Mass loss rates may reach ∼ 1M⊙yr−1 star radiusand the Alfvén radius,is of the orderof few [13]. As the mass near the two cores clear up gravita- seconds.Thevelocityofthiswindisnearcanditdrives tionaltorquesdecreasewhichleadstotheincreaseinthe anenergeticshockintothe slowersupernovashockand orbitaldecaytimescale. Thusthe CE ejectiontimescale ahyperenergeticsupernovaresults.Ifthissomehowtrig- becomescomparableorevenshorterthantheorbitalde- gersextrememasslossthendisruptionofthebinarywill cay timescale.Thisgiveenoughtimeto the CE to eject occur. Of course a great deal of work needs to be done fromthesystemleavingbehindtwotightlyboundcores. beforeonecanascertainthecorrectchannelofmagnetar Thusthespiralinginofthetwocoresandcoalescenceis formationandfindthepossiblelinktoitsisolation. prevented.Forlessevolvedstars,duetothepresenceof largeamountofmassnearthecorethemasslosscontin- ueswhichleadstotheirmerger[12]. MAGNETARBINARY EVOLUTION Now let’s look at a magnetar in a binary system un- dergoingCEevolution.Asthemagnetarapproachesthe Considerthe generalevolutionof a massive binarysys- giantcompaniontheusualprocessesasexplainedabove tem. If it is a wide binary then disruptionprobabilityis willtakeplace.Itwillformatightlyboundspiralwiththe highwhentheprimaryexplodesin a supernova.On the coreofthegiant.TheCEwillspinupandmasslossfrom otherhandif itis a close binarythenmass transferwill the system will ensue.As the matternear the two cores occur from the primary as it overflows its Roche-lobe. clears up somewhat, gravitationaltorques will decrease ThebinaryevolutionisclassifiedasCaseA,B,orCde- andhencetheorbitaldecaytimewillincrease.However pendingontheprimarystateofevolutionattheonsetof sincethesystemistightlyboundnow,themagneticfield Roche-lobe overflow. The mass transfer will affect the ofthemagnetarwillthreadthroughtheCEandstartaf- orbital dynamics of the binary and the evolution of the fectingit.Themagneticfieldswillexertabrakingforce primaryandthesecondarystars. onmotionoftheCE.Thiswillleadtoanincreaseofthe Generally three modes of mass transfer in the evo- ejectiontimescaleoftheCE.Ifthisejectiontimescalebe- lution of the binary are possible, viz., conservative, comesgreaterthanorbitaldecaytimescale,thenthetwo quasi-conservativeandthecommonenvelopeorthenon- cores will spiral together and coalesce. The outcome is conservativeevolution.Sincethecomponentsdiffersig- thatoneendsupwitheitheramagnetar(orneutronstar) nificantlyinbothmassandsizeacommonenvelope(CE) whichsurvivesthemergerorablackhole.Inanycasean evolutionatsomestageisverylikely[12].We consider isolatedobjectresults. a magnetar in an evolved binary where we assume that theCEhasformedanddiscussthepossiblewaysitwill evolve. DISCUSSIONS LetusfirstconsiderageneralpictureofCEevolution [12].Duetogravitationaltorques,asthecompactstarap- We have tried to discuss the possible ways a magnetar proachesthesurfaceofitslargercompanion,theorbital may lose its companion if it originally was in a binary. Iffurtherobservationalevidenceaccumulatesthatmag- netars are isolated objects then it becomes importantto findthemechanismbywhichthisishappening.Fromthe observationalpointofviewitisimportanttolookatthe nearby regions of an active magnetar. This may give a clue to the possible channel of disruption or merger. In the parameterspace the windowwhich leadsto the for- mation of magnetar instead of a normal neutron star is difficulttoquantify.However,thesuccessfulworkingof a -W dynamo together with the constraint of disruption which results in isolation, will lead to the tightening of requiredconditions.Wehavepresentedaqualitativedis- cussionwhichrequiresa lotofwork/simulationsbefore anythingconcrete can be said aboutthe differentpossi- bilities.Adetailedanalysiswillappearelsewhere. ACKNOWLEDGMENTS We thankA.DeshpandeandB. Paulforhelpfuldiscus- sions. REFERENCES 1. P.M.WoodsandC.Thompson,‘CompactStellarX-ray Source,eds.W.LewinandM.vanderKlis,Cambridge UniversityPress,2006 2. S.Woosley,T.Janka,NaturePhysics1,pp.147(2005) 3. M.P.Muno,WhichStarsFormBlackHolesandNeutron Stars?, AIPConferenceProceedings, Volume924, pp. 166-173(2007) 4. A.Blaauw,Bull.Astron.Inst.Neth.15,pp.265–290(1961). 5. J.M.LeBlancandJ.R.WilsonAstrophysicalJournal161, pp.541–551(1970). 6. J.C.Wheeler,I.Yi,P.HoflichandL.Wang,Astrophysical Journal537,pp.810–823(2000). 7. J.C.Wheeler,D.L.MeierandJ.R.Wilson,Astrophysical Journal568,pp.807–819(2002). 8. S.Akiyama,J.C.Wheeler,D.L.MeierandI.Lichtenstadt, AstrophysicalJournal584,pp.954–970(2003). 9. H. Sawai, K. Kotake and S. Yamada, to appear in AstrophysicalJournal 10. R.C.DuncanandC.Thompson,AstrophysicalJournal 392,pp.L9(1992). 11. T.A.Thompson, P.Chang,E.Quataert,Astrophysical Journal611,pp.380–393(2004). 12. R. E. Taam and E. l. Sandquist, Annu. Rev. Astron. Astrophys.38,pp.113–141(2000). 13. J.L.Terman,R.E.TaamandL.Hernquist,Astrophysical Journal445,pp.367–376(1995).

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