Modified Brink-Axel hypothesis for astrophysical Gamow-Teller transitions
Abstract
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.
- Authors:
-
[1];
[2];
- Univ. of California, San Diego, CA (United States)
- San Diego State Univ., CA (United States)
- Publication Date:
- Research Org.:
- San Diego State Univ., CA (United States); Oak Ridge Associated Universities (ORAU), Oak Ridge, TN (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Office of Workforce Development for Teachers & Scientists (WDTS); National Science Foundation (NSF); Simons Foundation
- OSTI Identifier:
- 1979857
- Grant/Contract Number:
- FG02-03ER41272; SC0014664; ACI-1548562; PHY-170054; PHY-1914242; PHY-2020275; 2017-228
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review. C
- Additional Journal Information:
- Journal Volume: 105; Journal Issue: 1; Journal ID: ISSN 2469-9985
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; Physics; electroweak interactions in nuclear physics; nuclear astrophysics; nuclear physics of explosive environments; nuclear structure & decays; thermal & statistical models
Citation Formats
Herrera, Raúl A., Johnson, Calvin W., and Fuller, George M. Modified Brink-Axel hypothesis for astrophysical Gamow-Teller transitions. United States: N. p., 2022.
Web. doi:10.1103/physrevc.105.015801.
Herrera, Raúl A., Johnson, Calvin W., & Fuller, George M. Modified Brink-Axel hypothesis for astrophysical Gamow-Teller transitions. United States. https://doi.org/10.1103/physrevc.105.015801
Herrera, Raúl A., Johnson, Calvin W., and Fuller, George M. Mon .
"Modified Brink-Axel hypothesis for astrophysical Gamow-Teller transitions". United States. https://doi.org/10.1103/physrevc.105.015801. https://www.osti.gov/servlets/purl/1979857.
@article{osti_1979857,
title = {Modified Brink-Axel hypothesis for astrophysical Gamow-Teller transitions},
author = {Herrera, Raúl A. and Johnson, Calvin W. and Fuller, George M.},
abstractNote = {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.},
doi = {10.1103/physrevc.105.015801},
journal = {Physical Review. C},
number = 1,
volume = 105,
place = {United States},
year = {Mon Jan 03 00:00:00 EST 2022},
month = {Mon Jan 03 00:00:00 EST 2022}
}
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Works referenced in this record:
Gamow-teller strength functions with the Lanczos algorithm
journal, January 1984
- Bloom, S. D.
- Progress in Particle and Nuclear Physics, Vol. 11
Stellar weak interaction rates for intermediate-mass nuclei. IV - Interpolation procedures for rapidly varying lepton capture rates using effective log (ft)-values
journal, June 1985
- Fuller, G. M.; Fowler, W. A.; Newman, M. J.
- The Astrophysical Journal, Vol. 293
Microscopic calculations of stellar weak interaction rates and energy losses for fp- and fpg-shell nuclei
journal, November 2004
- Nabi, Jameel-Un; Klapdor-Kleingrothaus, Hans Volker
- Atomic Data and Nuclear Data Tables, Vol. 88, Issue 2
Piecewise moments method: Generalized Lanczos technique for nuclear response surfaces
journal, December 2005
- Haxton, Wick C.; Nollett, Kenneth M.; Zurek, Kathryn M.
- Physical Review C, Vol. 72, Issue 6
Gamow–Teller strength distributions and electron capture rates for 55Co and 56Ni
journal, April 2005
- Nabi, Jameel-Un; Rahman, Muneeb-Ur
- Physics Letters B, Vol. 612, Issue 3-4
Testing the spin-cutoff parametrization with shell-model calculations
journal, July 2014
- Spinella, William M.; Johnson, Calvin W.
- Physical Review C, Vol. 90, Issue 1
The Sensitivity of Core-Collapse Supernovae to Nuclear Electron Capture
journal, December 2015
- Sullivan, Chris; O’Connor, Evan; Zegers, Remco G. T.
- The Astrophysical Journal, Vol. 816, Issue 1
Rate Tables for the Weak Processes of sd-Shell Nuclei in Stellar Matter
journal, March 1994
- Oda, T.; Hino, M.; Muto, K.
- Atomic Data and Nuclear Data Tables, Vol. 56, Issue 2
Neutrino Processes and Pair Formation in Massive Stars and Supernovae.
journal, August 1964
- Fowler, William A.; Hoyle, F.
- The Astrophysical Journal Supplement Series, Vol. 9
Shell-model calculation of strength functions
journal, January 1980
- Whitehead, R. R.; Watt, A.; Kelvin, D.
- Physics Letters B, Vol. 89, Issue 3-4
On the Lanczos method and the method of moments
journal, June 1978
- Whitehead, R. R.; Watt, A.
- Journal of Physics G: Nuclear Physics, Vol. 4, Issue 6
Thick-restart block Lanczos method for large-scale shell-model calculations
journal, November 2019
- Shimizu, Noritaka; Mizusaki, Takahiro; Utsuno, Yutaka
- Computer Physics Communications, Vol. 244
Presupernova Evolution with Improved Rates for Weak Interactions
journal, October 2001
- Heger, A.; Woosley, S. E.; Martinez‐Pinedo, G.
- The Astrophysical Journal, Vol. 560, Issue 1
Neutrino-pair emission from nuclear de-excitation in core-collapse supernova simulations
journal, December 2013
- Fischer, T.; Langanke, K.; Martínez-Pinedo, G.
- Physical Review C, Vol. 88, Issue 6
Shell-model calculations of stellar weak interaction rates. I. Gamow-Teller distributions and spectra of nuclei in the mass range A = 45–65
journal, July 1999
- Caurier, E.; Langanke, K.; Martínez-Pinedo, G.
- Nuclear Physics A, Vol. 653, Issue 4
Shell-model calculations of Gamow-Teller strength inV 51 Fe 54 Co 59
journal, October 1993
- Aufderheide, Maurice B.; Bloom, Stewart D.; Resler, David A.
- Physical Review C, Vol. 48, Issue 4
On Nuclear Dipole Vibrations
journal, November 1948
- Goldhaber, M.; Teller, E.
- Physical Review, Vol. 74, Issue 9
Statistical properties of many-particle spectra
journal, November 1975
- Mon, K. K.; French, J. B.
- Annals of Physics, Vol. 95, Issue 1
Neutrinos from Beta Processes in a Presupernova: Probing the Isotopic Evolution of a Massive Star
journal, December 2017
- Patton, Kelly M.; Lunardini, Cecilia; Farmer, Robert J.
- The Astrophysical Journal, Vol. 851, Issue 1
Stellar weak interaction rates for intermediate mass nuclei. III - Rate tables for the free nucleons and nuclei with A = 21 to A = 60
journal, January 1982
- Fuller, G. M.; Fowler, W. A.; Newman, M. J.
- The Astrophysical Journal Supplement Series, Vol. 48
Theoretical spectroscopy and the fp shell
journal, April 1981
- Poves, A.; Zuker, A.
- Physics Reports, Vol. 70, Issue 4
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
journal, February 1980
- Fuller, G. M.; Fowler, W. A.; Newman, M. J.
- The Astrophysical Journal Supplement Series, Vol. 42
Factorization in large-scale many-body calculations
journal, December 2013
- Johnson, Calvin W.; Ormand, W. Erich; Krastev, Plamen G.
- Computer Physics Communications, Vol. 184, Issue 12
Spin-orbit decomposition of ab initio nuclear wave functions
journal, March 2015
- Johnson, Calvin W.
- Physical Review C, Vol. 91, Issue 3
Colloquium : Perspectives on core-collapse supernova theory
journal, February 2013
- Burrows, Adam
- Reviews of Modern Physics, Vol. 85, Issue 1
The evolution and explosion of massive stars
journal, November 2002
- Woosley, S. E.; Heger, A.; Weaver, T. A.
- Reviews of Modern Physics, Vol. 74, Issue 4
The shell model as a unified view of nuclear structure
journal, June 2005
- Caurier, E.; Martínez-Pinedo, G.; Nowacki, F.
- Reviews of Modern Physics, Vol. 77, Issue 2
Theory of core-collapse supernovae
journal, April 2007
- Janka, H.; Langanke, K.; Marek, A.
- Physics Reports, Vol. 442, Issue 1-6
A novel projection technique in nuclear structure calculations
journal, April 1974
- Morrison, J.; Watt, A.; Whitehead, R. R.
- Journal of Physics A: Mathematical, Nuclear and General, Vol. 7, Issue 6
Estimates of Stellar Weak Interaction Rates for Nuclei in the Mass Range A = 65–80
journal, November 2003
- Pruet, Jason; Fuller, George M.
- The Astrophysical Journal Supplement Series, Vol. 149, Issue 1
Neutrino-pair emission from hot nuclei during stellar collapse
journal, July 2013
- Misch, G. Wendell; Brown, B. Alex; Fuller, George M.
- Physical Review C, Vol. 88, Issue 1
Consequences of Nuclear Electron Capture in Core Collapse Supernovae
journal, November 2003
- Hix, W. R.; Messer, O. E. B.; Mezzacappa, A.
- Physical Review Letters, Vol. 91, Issue 20
Detailed -transition rates for URCA nuclear pairs in 8–10 solar-mass stars
journal, July 2013
- Toki, Hiroshi; Suzuki, Toshio; Nomoto, Ken'ichi
- Physical Review C, Vol. 88, Issue 1
No-core shell model calculations of the photonuclear cross section of 10B
journal, December 2019
- Kruse, M. K. G.; Ormand, W. E.; Johnson, C. W.
- The European Physical Journal A, Vol. 55, Issue 12
Effective interaction for -shell nuclei
journal, May 2002
- Honma, M.; Otsuka, T.; Brown, B. A.
- Physical Review C, Vol. 65, Issue 6
Comparison of Gamow–Teller strengths in the random phase approximation
journal, May 2013
- Nabi, Jameel-Un; Johnson, Calvin W.
- Journal of Physics G: Nuclear and Particle Physics, Vol. 40, Issue 6
High-temperature neutrino-nucleus processes in stellar collapse
journal, August 1991
- Fuller, George M.; Meyer, Bradley S.
- The Astrophysical Journal, Vol. 376
Equation of state in the gravitational collapse of stars
journal, July 1979
- Bethe, H. A.; Brown, G. E.; Applegate, J.
- Nuclear Physics A, Vol. 324, Issue 2-3
Neutrino-nucleus reactions and their role in supernova nucleosynthesis
journal, December 2020
- Langanke, K.; Martínez-Pinedo, G.; Sieverding, A.
- Journal of Physics: Conference Series, Vol. 1643, Issue 1
Observation of Giant Gamow-Teller Strength in (p , n
journal, December 1975
- Doering, R. R.; Galonsky, Aaron; Patterson, D. M.
- Physical Review Letters, Vol. 35, Issue 25
Systematics of strength function sum rules
journal, November 2015
- Johnson, Calvin W.
- Physics Letters B, Vol. 750
Shell model study of the isobaric chains A=50, A=51 and A=52
journal, November 2001
- Poves, A.; Sánchez-Solano, J.; Caurier, E.
- Nuclear Physics A, Vol. 694, Issue 1-2
The statistical model and nuclear level densities
journal, October 1960
- Ericson, Torleif
- Advances in Physics, Vol. 9, Issue 36
Neutron shell blocking of electron capture during gravitational collapse
journal, January 1982
- Fuller, G. M.
- The Astrophysical Journal, Vol. 252
Electron capture in stellar collapse
journal, June 1984
- Cooperstein, J.; Wambach, J.
- Nuclear Physics A, Vol. 420, Issue 3
Stellar weak interaction rates for intermediate-mass nuclei. II - A = 21 to A = 60
journal, January 1982
- Fuller, G. M.; Fowler, W. A.; Newman, M. J.
- The Astrophysical Journal, Vol. 252
Thick-Restart Lanczos Method for Large Symmetric Eigenvalue Problems
journal, January 2000
- Wu, Kesheng; Simon, Horst
- SIAM Journal on Matrix Analysis and Applications, Vol. 22, Issue 2
Shell-model description of neutron-rich pf-shell nuclei with a new effective interaction GXPF 1
journal, April 2005
- Honma, M.; Otsuka, T.; Brown, B. A.
- The European Physical Journal A, Vol. 25, Issue S1
Effects of Inelastic Neutrino-Nucleus Scattering on Supernova Dynamics and Radiated Neutrino Spectra
journal, January 2008
- Langanke, K.; Martínez-Pinedo, G.; Müller, B.
- Physical Review Letters, Vol. 100, Issue 1
Level density ofCo 57
journal, February 1994
- Mishra, V.; Boukharouba, N.; Brient, C. E.
- Physical Review C, Vol. 49, Issue 2
Comparative study of Gamow-Teller strength distributions in the odd-odd nucleus and its impact on electron capture rates in astrophysical environments
journal, November 2007
- Nabi, Jameel-Un; Sajjad, Muhammad
- Physical Review C, Vol. 76, Issue 5
Quasidynamical symmetries in the backbending of chromium isotopes
journal, February 2017
- Herrera, Raúl A.; Johnson, Calvin W.
- Physical Review C, Vol. 95, Issue 2
Gamow-Teller Matrix Elements from 0°( ) Cross Sections
journal, June 1980
- Goodman, C. D.; Goulding, C. A.; Greenfield, M. B.
- Physical Review Letters, Vol. 44, Issue 26
Nuclear Data Sheets for A = 57
journal, November 1998
- Bhat, M. R.
- Nuclear Data Sheets, Vol. 85, Issue 3
Validity of spectral distribution methods in spectroscopy
journal, December 1972
- Chang, F. S.; Zuker, A.
- Nuclear Physics A, Vol. 198, Issue 2
Gamow-Teller electron capture strength distributions in stars: Unblocked iron and nickel isotopes
journal, July 1985
- Bloom, Stewart D.; Fuller, George M.
- Nuclear Physics A, Vol. 440, Issue 3