Exact sum rules with approximate ground states
Abstract
Electromagnetic and weak transitions tell us a great deal about the structure of atomic nuclei. Yet modeling transitions can be difficult: it is often easier to compute the ground state, if only as an approximation, than excited states. One alternative is through transition sum rules, in particular the non-energy-weighted and energy-weighted sum rules, which can be computed as expectation values of operators. We investigate by computing sum rules for a variety of nuclei, comparing the numerically exact full configuration-interaction shell model, as a reference, to Hartree-Fock, projected Hartree-Fock, and the nucleon pair approximation. Furthermore, these approximations yield reasonable agreement, which we explain by prior work on the systematics of transition moments.
- Publication Date:
- Research Org.:
- Univ. of Wisconsin, Madison, WI (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Nuclear Physics (NP); National Natural Science Foundation of China (NSFC); Youth Innovations and Talents Project of Shandong Provincial Colleges and Universities; Higher Educational Youth Innovation Science and Technology Program Shandong Province
- OSTI Identifier:
- 1783187
- Grant/Contract Number:
- SC0019465; SC0009971; 11705100; 201909118; 2020KJJ004
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Journal of Physics. G, Nuclear and Particle Physics
- Additional Journal Information:
- Journal Volume: 47; Journal Issue: 10; Journal ID: ISSN 0954-3899
- Publisher:
- IOP Publishing
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 73 NUCLEAR PHYSICS AND RADIATION PHYSICS
Citation Formats
Johnson, Calvin W., Luu, Ken Anh, and Lu, Yi. Exact sum rules with approximate ground states. United States: N. p., 2020.
Web. doi:10.1088/1361-6471/abacda.
Johnson, Calvin W., Luu, Ken Anh, & Lu, Yi. Exact sum rules with approximate ground states. United States. https://doi.org/10.1088/1361-6471/abacda
Johnson, Calvin W., Luu, Ken Anh, and Lu, Yi. Mon .
"Exact sum rules with approximate ground states". United States. https://doi.org/10.1088/1361-6471/abacda. https://www.osti.gov/servlets/purl/1783187.
@article{osti_1783187,
title = {Exact sum rules with approximate ground states},
author = {Johnson, Calvin W. and Luu, Ken Anh and Lu, Yi},
abstractNote = {Electromagnetic and weak transitions tell us a great deal about the structure of atomic nuclei. Yet modeling transitions can be difficult: it is often easier to compute the ground state, if only as an approximation, than excited states. One alternative is through transition sum rules, in particular the non-energy-weighted and energy-weighted sum rules, which can be computed as expectation values of operators. We investigate by computing sum rules for a variety of nuclei, comparing the numerically exact full configuration-interaction shell model, as a reference, to Hartree-Fock, projected Hartree-Fock, and the nucleon pair approximation. Furthermore, these approximations yield reasonable agreement, which we explain by prior work on the systematics of transition moments.},
doi = {10.1088/1361-6471/abacda},
journal = {Journal of Physics. G, Nuclear and Particle Physics},
number = 10,
volume = 47,
place = {United States},
year = {Mon Sep 14 00:00:00 EDT 2020},
month = {Mon Sep 14 00:00:00 EDT 2020}
}
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