Total absorption spectroscopy applications to reactor neutrino physics Alejandro Algora IFIC (CSIC-Univ. Valencia, Valencia), Spain MTA ATOMKI, Hungary γ 1 γ 2 Solvay Workshop, Nov.-Dec. 2017 Fission process energy balance Energy released in the fission of 235U Energy distribution MeV Kinetic energy light fission fragment 100.0 Kinetic energy heavy fission fragment 66.2 Prompt neutrons 4.8 Prompt gamma rays 8.0 Beta energy of fission fragments 7.0 Gamma energy of fission fragments 7.2 Subtotal 192.9 Each fission is Energy taken by the neutrinos 9.6 approximately followed by Total 202.7 6 beta decays (sizable amount of energy) James, J. Nucl. Energy 23 (1969) 517 A reactor (1 GW thermal) produces 1020 ν/s Example of reactor neutrino oscillation experiment: Double Chooz, Θ (also: Daya Bay, Reno) 13 Determination of the primary antineutrino spectrum • “Pure conversion procedure”: using the beta spectrum measured by Schreckenbach et al. from different fissile nuclides (235U,239,241Pu) and more recently 238U (Haag et al.), which requires complex conversion procedures • “Pure” summation calculations (next slide), for many years the only posibility for 238U • “Mixed” solution (Huber-Mueller model) Antineutrino and decay heat summation calculations Beta decay (β-) Spectrum for each transition J ,π J ,π → J ,π i i i i f f A I S(Q − E , J π , J π ) Z N k k i i f f J ,π f f ν spectrum for the decay (n) S (E) = ∑ I S(Q − E , J π , J π ) (cid:0) n k k i i f f (cid:0) k A Z+1 N-1 (cid:0) (cid:0) Anti-neutrino rate per fission (Vogel, 1981) (cid:0) ∑ ∑ S(E) = λ N S (E) / r = CFY S (E) n n n n n n n Decay heat summation calculation ∑ f (t) = E λN (t) i i i i (cid:0) Example: 60Co decay from http://www.nndc.bnl.gov/ feeding:=I = P *100 β f Comparative half-life: ft A way introduced by Fermi to compare the different decays (Q, Z’) p max T f (Z′,Q) = const ⋅ ∫ F(Z′, p)p2(Q − E )2 dp, t = 1/2 e f P 0 f 1 ft = const′ ln(2) f 2 T = =τln(2) M 1/2 λ if (cid:0) (cid:0) The problem of measuring the β-feeding β A Z N 2 γ 2 Real situation E E γ γ 1 2 f = I 1 2 γ 2 γ f = 0 1 1 •(cid:0) G e(cid:0) detectors are conventionally (I = I ) used to construct the level scheme γ γ 2 1 populated in the decay A Z+1 N-1 • From the γ intensity balance we deduce the β-feeding (cid:0) Experimental perspective: the problem of measuring the β- feeding β A Z N 2 γ 2 Apparent situation E E γ γ 1 2 f = 0 1 2 γ f = I 1 1 γ •(cid:0) W (cid:0)h at happens if we miss some 1 intensity A Single γ ~ ε Z+1 N-1 (cid:0) Coinc γ γ ~ εε 1 2 1 2 (cid:0) Pandemonium (The Capital of Hell) introduced by John Milton (XVII) in his epic poem Paradise Lost John Martin (~ 1825), presently at Louvre Hardy et al., Phys. Lett. 71B (1977) 307 TAGS measurements Since the gamma detection is the only reasonable way to solve the problem, we need a highly efficient device: A TOTAL ABSORTION SPECTROMETER But if you built such a detector instead of detecting the individual gamma rays you can sum the energy deposited by the gamma cascades in the detector. A TAS is like a calorimeter! Big crystal, 4π d = R(B) ⋅ f
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