Reexamining the variational two-particle reduced density matrix for nuclear systems

Li, J. G.; Michel, N.; Zuo, W.; Xu, F. R.

doi:10.1103/physrevc.103.064324

Title: Reexamining the variational two-particle reduced density matrix for nuclear systems

Journal Article · Wed Jun 23 00:00:00 UTC 2021 · Physical Review. C

DOI: https://doi.org/10.1103/physrevc.103.064324 · OSTI ID:1851242

Li, J. G. ^[1];

^[2]; Zuo, W. ^[2];

^[3]

Peking Univ., Beijing (China); OSTI
Chinese Academy of Sciences (CAS), Lanzhou (China); Univ. of Chinese Academy of Sciences, Beijing (China)
Peking Univ., Beijing (China)

We report that in most nuclear many-body methods, observables are calculated using many-body wave functions explicitly. The variational two-particle reduced density matrix method is one of the few exceptions to the rule. Ground-state energies of both closed-shell and open-shell nuclear systems can indeed be evaluated by minimizing a constrained linear functional of the two-particle reduced density matrix. However, it has virtually never been used in nuclear theory, because nuclear ground states were found to be well overbound, contrary to those of atoms and molecules. Consequently, we introduced new constraints in the nuclear variational two-particle reduced density matrix method, developed recently for atomic and molecular systems. Our calculations then show that this approach can provide a proper description of nuclear systems where only valence neutrons are included. For the nuclear systems where both neutrons and protons are active, however, the energies obtained with the variational two-particle reduced density matrix method are still overbound. The possible reasons for the noticed discrepancies and solutions to this problem will be discussed.

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Research Organization:: Peking Univ., Beijing (China); Texas A & M Univ., Commerce, TX (United States)

Sponsoring Organization:: Chinese Academy of Sciences; National Key R&D Program of China; National Natural Science Foundation of China; Peking Univ.; USDOE Office of Science (SC)

Grant/Contract Number:: SC0009971

OSTI ID:: 1851242

Journal Information:: Physical Review. C, Journal Name: Physical Review. C Journal Issue: 6 Vol. 103; ISSN 2469-9985

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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