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Aufderheide, Maurice B.; Bloom, S.D.; Resler, D.A.; Mathews, Grant J.

doi:10.1103/physrevc.48.1677

Cited by 43 publications

(26 citation statements)

References 19 publications

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“…In capture on even-even nuclei the GT strength resides at lower excitation energies in the daughter than assumed by FFN, while in odd-A nuclei the GT strength is centered at higher excitation energies. The same trend is also seen in the available (n,p) data [20] and has been pointed out for individual cases in [11,12].…”

Section: Introductionsupporting

confidence: 53%

“…Our calculation finds the bulk of the GT strength distribution at around 1 MeV lower in excitation energy than assumed in the parametrization. As has already been noted before [11,12,19] this trend seems to be general for even-even parent nuclei, while for odd-A nuclei the parametrization places the GT centroid at too low excitation energies. This suggestion [19] is confirmed in our shell model calculation.…”

Section: Introductionmentioning

confidence: 63%

“…After experimental (n,p) data clearly indicated that the Gamow-Teller strength is not only quenched (usually by more than a factor 2 compared to the independent particle model), but also fragmented over several states at modest excitation energies in the daughter nucleus [5][6][7][8][9], the need for an improved theoretical description has soon been realized [10][11][12]. These studies have been performed within the conventional shell model diagonalization approach, however, in strongly restricted model spaces and with residual interactions, which turned out to neither reproduce the quenching nor the position of the GT strength sufficiently well.…”

Section: Introductionmentioning

confidence: 99%

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Supernova electron capture rates for 55Co and 56Ni

Langanke

Martı́nez-Pinedo

1998

Physics Letters B

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We have calculated the Gamow-Teller strength distributions for the ground states and first excited states in 55 Co and 56 Ni. These calculations have been performed by shell model diagonalization in the pf shell using the KB3 interaction. The Gamow-Teller distributions are used to calculate the electron capture rates for typical presupernova conditions. Our 55 Co rate is noticeably smaller than the presently adopted rate as it is dominated by weak low-lying transitions rather than the strong Gamow-Teller (GT) resonance which is located at a higher excitation energy in the daughter than usually parametrized. Although our 56 Ni rate agrees with the presently adopted rate, we do not confirm the conventional parametrization of the GT centroid. Our results support general trends suggested on the basis of shell model Monte Carlo calculations.

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Section: Introductionsupporting

confidence: 53%

Section: Introductionmentioning

confidence: 63%

Section: Introductionmentioning

confidence: 99%

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Supernova electron capture rates for 55Co and 56Ni

Langanke

Martı́nez-Pinedo

1998

Physics Letters B

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“…Early attempts to improve selected FFN rates [8][9][10][11] have been performed within the conventional shell model diagonalization approach, however, in strongly restricted model spaces and with residual interactions, which did neither reproduce the quenching nor the position of the GT strength distributions well enough to give these approaches the necessary predictive power. One of the limitations of these shell model calculations (the strongly restrictive model spaces) has been overcome recently by decisive progress achieved in shell model technologies.…”

mentioning

confidence: 99%

Shell-model calculations of stellar weak interaction rates. I. Gamow-Teller distributions and spectra of nuclei in the mass range A = 45–65

Langanke²,

et al. 1999

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Shell model calculations of stellar weak interaction rates: I. Gamow-Teller distributions and spectra of nuclei in the mass range A = 45 − 65 Electron capture and beta-decay rates on nuclei in the mass range A = 45 − 65 play an important role in many astrophysical environments. The determination of these rates by large-scale shell model calculations is desirable, but it requires to reproduce the Gamow-Teller strength distributions and spectra of the pf shell nuclei. We show in this paper that large-scale shell model calculations, employing a slightly monopole-corrected version of the wellknown KB3 interaction, fulfill these necessary requirements. In particular, our calculations reproduce the experimentally available GT+ and GT− strength distributions and the nuclear halflives, and describe the nuclear spectra appropriately.

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“…Note that this level of agreement is as good as that obtained by Aufderheide et al [90]. These authors calculate the GT + strength distribution within strongly truncated shell model studies by adjusting the single particle energies to fit the observed strength distribution and then normalize the total calculated strength to the measured B(GT + ) value [90]. As this approach obviously requires a knowledge of the experimental strength distribution, the SMMC calculations in the complete pf shell are capable of predicting the desired strength distribution with a similar accuracy.…”

Section: Electron Capture and Presupernova Collapsesupporting

confidence: 79%

Shell model monte carlo methods

Dean¹,

Langanke

Contemporary Nuclear Shell Models

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We review quantum Monte Carlo methods for dealing with large shell model problems. These methods reduce the imaginary-time many-body evolution operator to a coherent superposition of one-body evolutions in fluctuating one-body fields; the resultant path integral is evaluated stochastically. We first discuss the motivation, formalism, and implementation of such Shell Model Monte Carlo (SMMC) methods. There then follows a sampler of results and insights obtained from a number of applications. These include the ground state and thermal properties of pf-shell nuclei, the thermal and rotational behavior of rare-earth and γ-soft nuclei, and the calculation of double beta-decay matrix elements. Finally, prospects for further progress in such calculations are discussed.

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Shell-model calculations of Gamow-Teller strength inV51,Fe

Cited by 43 publications

References 19 publications

Supernova electron capture rates for 55Co and 56Ni

Supernova electron capture rates for 55Co and 56Ni

Shell-model calculations of stellar weak interaction rates. I. Gamow-Teller distributions and spectra of nuclei in the mass range A = 45–65

Shell model monte carlo methods

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