Modified Brink-Axel hypothesis for astrophysical Gamow-Teller transitions

Herrera, Raúl A.; Johnson, Calvin W.; Fuller, George M.

doi:10.1103/physrevc.105.015801

Title: Modified Brink-Axel hypothesis for astrophysical Gamow-Teller transitions

Journal Article · 03 January 2022 · Physical Review. C

DOI: https://doi.org/10.1103/physrevc.105.015801 · OSTI ID:1979857

^[1];

^[2]; Fuller, George M. ^[3]

Univ. of California, San Diego, CA (United States); OSTI
San Diego State Univ., CA (United States)
Univ. of California, San Diego, CA (United States)

Weak interaction charged current transition strengths from highly excited nuclear states are fundamental ingredients for accurate modeling of compact object composition and dynamics, but are difficult to obtain either from experiment or theory. For lack of alternatives, calculations have often fallen back upon a generalized Brink-Axel hypothesis, that is, assuming the strength function (transition probability) is independent of the initial nuclear state but depends only upon the transition energy and the weak interaction properties of the parent nucleus ground state. Here we present numerical evidence for a modified “local” Brink-Axel hypothesis for Gamow-Teller transitions for pf-shell nuclei relevant to astrophysical applications. Specifically, while the original Brink-Axel hypothesis does not hold globally, strength functions from initial states nearby in energy are similar within statistical fluctuations. This agrees with previous work on strength function moments. Using this modified hypothesis, we can tackle strength functions at previously intractable initial energies, using semiconverged initial states at arbitrary excitation energy. Our work provides a well-founded method for computing accurate thermal weak transition rates for medium-mass nuclei at temperatures occurring in stellar cores near collapse. We finish by comparing results to previous calculations of astrophysical rates.

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Research Organization:: San Diego State Univ., CA (United States); Oak Ridge Associated Universities (ORAU), Oak Ridge, TN (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Office of Workforce Development for Teachers & Scientists (WDTS); National Science Foundation (NSF); Simons Foundation

Grant/Contract Number:: FG02-03ER41272; SC0014664

OSTI ID:: 1979857

Journal Information:: Physical Review. C, Journal Name: Physical Review. C Journal Issue: 1 Vol. 105; ISSN 2469-9985

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

References (69)

Rate Tables for the Weak Processes of sd-Shell Nuclei in Stellar Matter Oda, T.; Hino, M.; Muto, K. Atomic Data and Nuclear Data Tables, Vol. 56, Issue 2 https://doi.org/10.1006/adnd.1994.1007	journal	March 1994
Nuclear Data Sheets for A = 57 Bhat, M. R. Nuclear Data Sheets, Vol. 85, Issue 3 https://doi.org/10.1006/ndsh.1998.0021	journal	November 1998
Statistical properties of many-particle spectra Mon, K. K.; French, J. B. Annals of Physics, Vol. 95, Issue 1 https://doi.org/10.1016/0003-4916(75)90045-7	journal	November 1975
Gamow-teller strength functions with the Lanczos algorithm Bloom, S. D. Progress in Particle and Nuclear Physics, Vol. 11 https://doi.org/10.1016/0146-6410(84)90025-5	journal	January 1984
Theoretical spectroscopy and the fp shell Poves, A.; Zuker, A. Physics Reports, Vol. 70, Issue 4 https://doi.org/10.1016/0370-1573(81)90153-8	journal	April 1981
Shell-model calculation of strength functions Whitehead, R. R.; Watt, A.; Kelvin, D. Physics Letters B, Vol. 89, Issue 3-4 https://doi.org/10.1016/0370-2693(80)90131-8	journal	January 1980
Validity of spectral distribution methods in spectroscopy Chang, F. S.; Zuker, A. Nuclear Physics A, Vol. 198, Issue 2 https://doi.org/10.1016/0375-9474(72)90698-7	journal	December 1972
Equation of state in the gravitational collapse of stars Bethe, H. A.; Brown, G. E.; Applegate, J. Nuclear Physics A, Vol. 324, Issue 2-3 https://doi.org/10.1016/0375-9474(79)90596-7	journal	July 1979
Electron capture in stellar collapse Cooperstein, J.; Wambach, J. Nuclear Physics A, Vol. 420, Issue 3 https://doi.org/10.1016/0375-9474(84)90673-0	journal	June 1984
Gamow-Teller electron capture strength distributions in stars: Unblocked iron and nickel isotopes Bloom, Stewart D.; Fuller, George M. Nuclear Physics A, Vol. 440, Issue 3 https://doi.org/10.1016/0375-9474(85)90243-X	journal	July 1985
Gamow-Teller strength as a function of excitation energy Frazier, Njema; Brown, B. Alex; Millener, D. J. Physics Letters B, Vol. 414, Issue 1-2 https://doi.org/10.1016/S0370-2693(97)01144-1	journal	November 1997
Shell-model calculations of stellar weak interaction rates: II. Weak rates for nuclei in the mass range in supernovae environments Langanke, K.; Martı́nez-Pinedo, G. Nuclear Physics A, Vol. 673, Issue 1-4 https://doi.org/10.1016/S0375-9474(00)00131-7	journal	June 2000
Shell model study of the isobaric chains A=50, A=51 and A=52 Poves, A.; Sánchez-Solano, J.; Caurier, E. Nuclear Physics A, Vol. 694, Issue 1-2 https://doi.org/10.1016/S0375-9474(01)00967-8	journal	November 2001
Shell-model calculations of stellar weak interaction rates. I. Gamow-Teller distributions and spectra of nuclei in the mass range A = 45–65 Caurier, E.; Langanke, K.; Martínez-Pinedo, G. Nuclear Physics A, Vol. 653, Issue 4 https://doi.org/10.1016/S0375-9474(99)00240-7	journal	July 1999
Microscopic calculations of stellar weak interaction rates and energy losses for fp- and fpg-shell nuclei Nabi, Jameel-Un; Klapdor-Kleingrothaus, Hans Volker Atomic Data and Nuclear Data Tables, Vol. 88, Issue 2 https://doi.org/10.1016/j.adt.2004.09.002	journal	November 2004
Factorization in large-scale many-body calculations Johnson, Calvin W.; Ormand, W. Erich; Krastev, Plamen G. Computer Physics Communications, Vol. 184, Issue 12 https://doi.org/10.1016/j.cpc.2013.07.022	journal	December 2013
Thick-restart block Lanczos method for large-scale shell-model calculations Shimizu, Noritaka; Mizusaki, Takahiro; Utsuno, Yutaka Computer Physics Communications, Vol. 244 https://doi.org/10.1016/j.cpc.2019.06.011	journal	November 2019
Gamow–Teller strength distributions and electron capture rates for 55Co and 56Ni Nabi, Jameel-Un; Rahman, Muneeb-Ur Physics Letters B, Vol. 612, Issue 3-4 https://doi.org/10.1016/j.physletb.2005.02.059	journal	April 2005
Systematics of strength function sum rules Johnson, Calvin W. Physics Letters B, Vol. 750 https://doi.org/10.1016/j.physletb.2015.08.054	journal	November 2015
Theory of core-collapse supernovae Janka, H.; Langanke, K.; Marek, A. Physics Reports, Vol. 442, Issue 1-6 https://doi.org/10.1016/j.physrep.2007.02.002	journal	April 2007
The statistical model and nuclear level densities Ericson, Torleif Advances in Physics, Vol. 9, Issue 36 https://doi.org/10.1080/00018736000101239	journal	October 1960
Stellar weak interaction rates for intermediate-mass nuclei. II - A = 21 to A = 60 Fuller, G. M.; Fowler, W. A.; Newman, M. J. The Astrophysical Journal, Vol. 252 https://doi.org/10.1086/159597	journal	January 1982
Neutron shell blocking of electron capture during gravitational collapse Fuller, G. M. The Astrophysical Journal, Vol. 252 https://doi.org/10.1086/159598	journal	January 1982
Stellar weak interaction rates for intermediate-mass nuclei. IV - Interpolation procedures for rapidly varying lepton capture rates using effective log (ft)-values Fuller, G. M.; Fowler, W. A.; Newman, M. J. The Astrophysical Journal, Vol. 293 https://doi.org/10.1086/163208	journal	June 1985
High-temperature neutrino-nucleus processes in stellar collapse Fuller, George M.; Meyer, Bradley S. The Astrophysical Journal, Vol. 376 https://doi.org/10.1086/170317	journal	August 1991
Neutrino Processes and Pair Formation in Massive Stars and Supernovae. Fowler, William A.; Hoyle, F. The Astrophysical Journal Supplement Series, Vol. 9 https://doi.org/10.1086/190103	journal	August 1964
Stellar weak-interaction rates for sd-shell nuclei. I - Nuclear matrix element systematics with application to Al-26 and selected nuclei of importance to the supernova problem Fuller, G. M.; Fowler, W. A.; Newman, M. J. The Astrophysical Journal Supplement Series, Vol. 42 https://doi.org/10.1086/190657	journal	February 1980
Stellar weak interaction rates for intermediate mass nuclei. III - Rate tables for the free nucleons and nuclei with A = 21 to A = 60 Fuller, G. M.; Fowler, W. A.; Newman, M. J. The Astrophysical Journal Supplement Series, Vol. 48 https://doi.org/10.1086/190779	journal	January 1982
Presupernova Evolution with Improved Rates for Weak Interactions Heger, A.; Woosley, S. E.; Martinez‐Pinedo, G. The Astrophysical Journal, Vol. 560, Issue 1 https://doi.org/10.1086/324092	journal	October 2001
Estimates of Stellar Weak Interaction Rates for Nuclei in the Mass Range A = 65–80 Pruet, Jason; Fuller, George M. The Astrophysical Journal Supplement Series, Vol. 149, Issue 1 https://doi.org/10.1086/376753	journal	November 2003
A novel projection technique in nuclear structure calculations Morrison, J.; Watt, A.; Whitehead, R. R. Journal of Physics A: Mathematical, Nuclear and General, Vol. 7, Issue 6 https://doi.org/10.1088/0305-4470/7/6/002	journal	April 1974
On the Lanczos method and the method of moments Whitehead, R. R.; Watt, A. Journal of Physics G: Nuclear Physics, Vol. 4, Issue 6 https://doi.org/10.1088/0305-4616/4/6/013	journal	June 1978
Comparison of Gamow–Teller strengths in the random phase approximation Nabi, Jameel-Un; Johnson, Calvin W. Journal of Physics G: Nuclear and Particle Physics, Vol. 40, Issue 6 https://doi.org/10.1088/0954-3899/40/6/065202	journal	May 2013
Neutrino-nucleus reactions and their role in supernova nucleosynthesis Langanke, K.; Martínez-Pinedo, G.; Sieverding, A. Journal of Physics: Conference Series, Vol. 1643, Issue 1 https://doi.org/10.1088/1742-6596/1643/1/012024	journal	December 2020
Electric Dipole Ground-State Transition Width Strength Function and 7-Mev Photon Interactions Axel, Peter Physical Review, Vol. 126, Issue 2 https://doi.org/10.1103/PhysRev.126.671	journal	April 1962
On Nuclear Dipole Vibrations Goldhaber, M.; Teller, E. Physical Review, Vol. 74, Issue 9 https://doi.org/10.1103/PhysRev.74.1046	journal	November 1948
Thermal quasiparticle random-phase approximation calculations of stellar electron capture rates with the Skyrme effective interaction Dzhioev, Alan A.; Vdovin, A. I.; Stoyanov, Ch. Physical Review C, Vol. 100, Issue 2 https://doi.org/10.1103/PhysRevC.100.025801	journal	August 2019
Unblocking of stellar electron capture for neutron-rich N=50 nuclei at finite temperature Dzhioev, Alan A.; Langanke, K.; Martínez-Pinedo, G. Physical Review C, Vol. 101, Issue 2 https://doi.org/10.1103/PhysRevC.101.025805	journal	February 2020
Impact of complex many-body correlations on electron capture in thermally excited nuclei around Ni78 Litvinova, Elena; Robin, Caroline Physical Review C, Vol. 103, Issue 2 https://doi.org/10.1103/PhysRevC.103.024326	journal	February 2021
Shell-model calculations of Gamow-Teller strength inV51,Fe54, andCo59 Aufderheide, Maurice B.; Bloom, Stewart D.; Resler, David A. Physical Review C, Vol. 48, Issue 4 https://doi.org/10.1103/PhysRevC.48.1677	journal	October 1993
Level density ofCo57 Mishra, V.; Boukharouba, N.; Brient, C. E. Physical Review C, Vol. 49, Issue 2 https://doi.org/10.1103/PhysRevC.49.750	journal	February 1994
Effective interaction for pf -shell nuclei Honma, M.; Otsuka, T.; Brown, B. A. Physical Review C, Vol. 65, Issue 6 https://doi.org/10.1103/PhysRevC.65.061301	journal	May 2002
Gamow-Teller transitions and deformation in the proton-neutron random phase approximation Stetcu, Ionel; Johnson, Calvin W. Physical Review C, Vol. 69, Issue 2 https://doi.org/10.1103/PhysRevC.69.024311	journal	February 2004
Piecewise moments method: Generalized Lanczos technique for nuclear response surfaces Haxton, Wick C.; Nollett, Kenneth M.; Zurek, Kathryn M. Physical Review C, Vol. 72, Issue 6 https://doi.org/10.1103/PhysRevC.72.065501	journal	December 2005
New “USD” Hamiltonians for the sd shell Brown, B. Alex; Richter, W. A. Physical Review C, Vol. 74, Issue 3 https://doi.org/10.1103/PhysRevC.74.034315	journal	September 2006
Comparative study of Gamow-Teller strength distributions in the odd-odd nucleus V 50 and its impact on electron capture rates in astrophysical environments Nabi, Jameel-Un; Sajjad, Muhammad Physical Review C, Vol. 76, Issue 5 https://doi.org/10.1103/PhysRevC.76.055803	journal	November 2007
Gamow-Teller strength distributions at finite temperatures and electron capture in stellar environments Dzhioev, Alan A.; Vdovin, A. I.; Ponomarev, V. Yu. Physical Review C, Vol. 81, Issue 1 https://doi.org/10.1103/PhysRevC.81.015804	journal	January 2010
Detailed β -transition rates for URCA nuclear pairs in 8–10 solar-mass stars Toki, Hiroshi; Suzuki, Toshio; Nomoto, Ken'ichi Physical Review C, Vol. 88, Issue 1 https://doi.org/10.1103/PhysRevC.88.015806	journal	July 2013
Neutrino-pair emission from hot nuclei during stellar collapse Misch, G. Wendell; Brown, B. Alex; Fuller, George M. Physical Review C, Vol. 88, Issue 1 https://doi.org/10.1103/PhysRevC.88.015807	journal	July 2013
Neutrino-pair emission from nuclear de-excitation in core-collapse supernova simulations Fischer, T.; Langanke, K.; Martínez-Pinedo, G. Physical Review C, Vol. 88, Issue 6 https://doi.org/10.1103/PhysRevC.88.065804	journal	December 2013
Astrophysical weak-interaction rates for selected A = 20 and A = 24 nuclei Martínez-Pinedo, G.; Lam, Y. H.; Langanke, K. Physical Review C, Vol. 89, Issue 4 https://doi.org/10.1103/PhysRevC.89.045806	journal	April 2014
Testing the spin-cutoff parametrization with shell-model calculations Spinella, William M.; Johnson, Calvin W. Physical Review C, Vol. 90, Issue 1 https://doi.org/10.1103/PhysRevC.90.014315	journal	July 2014
Modification of the Brink-Axel hypothesis for high-temperature nuclear weak interactions Misch, G. Wendell; Fuller, George M.; Brown, B. Alex Physical Review C, Vol. 90, Issue 6 https://doi.org/10.1103/PhysRevC.90.065808	journal	December 2014
Spin-orbit decomposition of ab initio nuclear wave functions Johnson, Calvin W. Physical Review C, Vol. 91, Issue 3 https://doi.org/10.1103/PhysRevC.91.034313	journal	March 2015
Quasidynamical symmetries in the backbending of chromium isotopes Herrera, Raúl A.; Johnson, Calvin W. Physical Review C, Vol. 95, Issue 2 https://doi.org/10.1103/PhysRevC.95.024303	journal	February 2017
Transition sum rules in the shell model Lu, Yi; Johnson, Calvin W. Physical Review C, Vol. 97, Issue 3 https://doi.org/10.1103/PhysRevC.97.034330	journal	March 2018
Effects of Inelastic Neutrino-Nucleus Scattering on Supernova Dynamics and Radiated Neutrino Spectra Langanke, K.; Martínez-Pinedo, G.; Müller, B. Physical Review Letters, Vol. 100, Issue 1 https://doi.org/10.1103/PhysRevLett.100.011101	journal	January 2008
Observation of Giant Gamow-Teller Strength in (p, n) Reactions Doering, R. R.; Galonsky, Aaron; Patterson, D. M. Physical Review Letters, Vol. 35, Issue 25 https://doi.org/10.1103/PhysRevLett.35.1691	journal	December 1975
Gamow-Teller Matrix Elements from 0°( p , n ) Cross Sections Goodman, C. D.; Goulding, C. A.; Greenfield, M. B. Physical Review Letters, Vol. 44, Issue 26 https://doi.org/10.1103/PhysRevLett.44.1755	journal	June 1980
Consequences of Nuclear Electron Capture in Core Collapse Supernovae Hix, W. R.; Messer, O. E. B.; Mezzacappa, A. Physical Review Letters, Vol. 91, Issue 20 https://doi.org/10.1103/PhysRevLett.91.201102	journal	November 2003
Supernova mechanisms Bethe, H. A. Reviews of Modern Physics, Vol. 62, Issue 4 https://doi.org/10.1103/RevModPhys.62.801	journal	October 1990
The evolution and explosion of massive stars Woosley, S. E.; Heger, A.; Weaver, T. A. Reviews of Modern Physics, Vol. 74, Issue 4 https://doi.org/10.1103/RevModPhys.74.1015	journal	November 2002
The shell model as a unified view of nuclear structure Caurier, E.; Martínez-Pinedo, G.; Nowacki, F. Reviews of Modern Physics, Vol. 77, Issue 2 https://doi.org/10.1103/RevModPhys.77.427	journal	June 2005
Colloquium : Perspectives on core-collapse supernova theory Burrows, Adam Reviews of Modern Physics, Vol. 85, Issue 1 https://doi.org/10.1103/RevModPhys.85.245	journal	February 2013
Thick-Restart Lanczos Method for Large Symmetric Eigenvalue Problems Wu, Kesheng; Simon, Horst SIAM Journal on Matrix Analysis and Applications, Vol. 22, Issue 2 https://doi.org/10.1137/S0895479898334605	journal	January 2000
No-core shell model calculations of the photonuclear cross section of 10B Kruse, M. K. G.; Ormand, W. E.; Johnson, C. W. The European Physical Journal A, Vol. 55, Issue 12 https://doi.org/10.1140/epja/i2019-12905-1	journal	December 2019
Shell-model description of neutron-rich pf-shell nuclei with a new effective interaction GXPF 1 Honma, M.; Otsuka, T.; Brown, B. A. The European Physical Journal A, Vol. 25, Issue S1 https://doi.org/10.1140/epjad/i2005-06-032-2	journal	April 2005
The Sensitivity of Core-Collapse Supernovae to Nuclear Electron Capture Sullivan, Chris; O’Connor, Evan; Zegers, Remco G. T. The Astrophysical Journal, Vol. 816, Issue 1 https://doi.org/10.3847/0004-637X/816/1/44	journal	December 2015
Neutrinos from Beta Processes in a Presupernova: Probing the Isotopic Evolution of a Massive Star Patton, Kelly M.; Lunardini, Cecilia; Farmer, Robert J. The Astrophysical Journal, Vol. 851, Issue 1 https://doi.org/10.3847/1538-4357/aa95c4	journal	December 2017

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