Journal
JOURNAL OF PHYSICS G-NUCLEAR AND PARTICLE PHYSICS
Volume 48, Issue 9, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/1361-6471/ac1390
Keywords
Hartree-Fock; angular momentum projection; shell model
Categories
Funding
- U.S. Department of Energy, Office of Science, Office of Nuclear Physics [DE-FG02-03ER41272]
- Office of High Energy Physics [DE-SC0019465]
- U.S. Department of Energy (DOE) [DE-FG02-03ER41272, DE-SC0019465] Funding Source: U.S. Department of Energy (DOE)
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The study compares angular-momentum projected-after-variation Hartree-Fock calculations to full configuration-interaction results in a shell model basis, finding reasonably good agreement in the excitation spectra. Shape coexistence and mixing in shape coexistence improves the spectrum, particularly in the sd- and pf-shells. While the complex spectra of germanium isotopes present challenges, the projected Hartree-Fock method generally provides a better description of low-lying nuclear spectra than expected, with the use of gradient descent and unrestricted shapes being key to its success.
We benchmark angular-momentum projected-after-variation Hartree-Fock calculations as an approximation to full configuration-interaction results in a shell model basis. For such a simple approximation we find reasonably good agreement between excitation spectra, including for many odd-A and odd-odd nuclides. We frequently find shape coexistence, in the form of multiple Hartree-Fock minima; mixing in shape coexistence, the first step beyond single-reference projected Hartree-Fock, demonstrably improves the spectrum in the sd- and pf-shells. The complex spectra of germanium isotopes present a challenge: for even A the spectra are only moderately good and those of odd A bear little resemblance to the configuration-interaction results. Despite this failure we are able to broadly reproduce the odd-even staggering of ground state binding energies, save for germanium isotopes with N > 40. To illustrate potential applications, we compute the spectrum of the recently measured dripline nuclide Mg-40. All in all, projected Hartree-Fock often provides a better description of low-lying nuclear spectra than one might expect. Key to this is the use of gradient descent and unrestricted shapes.
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