Exact sum rules with approximate ground states

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...

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Bibliographic Details
Published in:Journal of physics. G, Nuclear and particle physics Nuclear and particle physics, 2020-10, Vol.47 (10), p.105107
Main Authors: Johnson, Calvin W, Luu, Ken Anh, Lu, Yi
Format: Article
Language:English
Subjects:
electromagnetic transitions
Hartree-Fock
NUCLEAR PHYSICS AND RADIATION PHYSICS
nucleon pair approximation
PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
shell model
weak transitions
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Summary: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. These approximations yield reasonable agreement, which we explain by prior work on the systematics of transition moments.
ISSN:0954-3899
1361-6471
DOI:10.1088/1361-6471/abacda