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Title: Convergence behavior of the random phase approximation renormalized correlation energy

Authors:
; ;
Publication Date:
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)
OSTI Identifier:
1372517
Grant/Contract Number:
DESC0012575
Resource Type:
Journal Article: Publisher's Accepted Manuscript
Journal Name:
Physical Review B
Additional Journal Information:
Journal Volume: 95; Journal Issue: 19; Related Information: CHORUS Timestamp: 2018-01-25 10:03:45; Journal ID: ISSN 2469-9950
Publisher:
American Physical Society
Country of Publication:
United States
Language:
English

Citation Formats

Bates, Jefferson E., Sensenig, Jonathon, and Ruzsinszky, Adrienn. Convergence behavior of the random phase approximation renormalized correlation energy. United States: N. p., 2017. Web. doi:10.1103/PhysRevB.95.195158.
Bates, Jefferson E., Sensenig, Jonathon, & Ruzsinszky, Adrienn. Convergence behavior of the random phase approximation renormalized correlation energy. United States. doi:10.1103/PhysRevB.95.195158.
Bates, Jefferson E., Sensenig, Jonathon, and Ruzsinszky, Adrienn. Fri . "Convergence behavior of the random phase approximation renormalized correlation energy". United States. doi:10.1103/PhysRevB.95.195158.
@article{osti_1372517,
title = {Convergence behavior of the random phase approximation renormalized correlation energy},
author = {Bates, Jefferson E. and Sensenig, Jonathon and Ruzsinszky, Adrienn},
abstractNote = {},
doi = {10.1103/PhysRevB.95.195158},
journal = {Physical Review B},
number = 19,
volume = 95,
place = {United States},
year = {Fri May 26 00:00:00 EDT 2017},
month = {Fri May 26 00:00:00 EDT 2017}
}

Journal Article:
Free Publicly Available Full Text
This content will become publicly available on May 26, 2018
Publisher's Accepted Manuscript

Citation Metrics:
Cited by: 1work
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  • Finite temperature bosonic contributions to the nuclear level density parameter are calculated. The adopted formalism is based on the random-phase approximation treatment of particle-particle, hole-hole, and particle-hole channels of an isospin-independent {delta} force. The particle-particle (hole-hole) channels are renormalized and they are treated together with the particle-hole channels. Random-phase approximation contributions to the level density parameter are found to display low-temperature features which are similar to the ones that are due to the collapse of pairing correlations.
  • A self-consistent method of treating excitations of the proton-neutron quasiparticle random-phase approximation is presented. The non-self-consistent methods violate the Pauli exclusion principle and lead to an eventual collapse of the ground state. This behavior renders a reliable calculation of the nuclear matrix elements, relevant for the prediction of double-beta-decay half-lives, difficult. The present formalism promotes the Pauli exclusion principle and avoids the collapse of the double-beta-decay matrix elements. We have applied this formalism to the double beta decay of {sup 100}Mo.
  • The proton-neutron monopole Lipkin model, which exhibits some properties that are relevant for those double beta decay ({beta}{beta}) transitions mediated by the Fermi matrix elements, is solved exactly in the proton-neutron two-quasiparticle space. The exact results are compared with the ones obtained by using the quasiparticle random phase approximation (QRPA) and renormalized QRPA (RQRPA) approaches. It is shown that the RQRPA violates the Ikeda sum rule and that this violation may be common to any extension of the QRPA where scattering terms are neglected in the participant one-body operators as well as in the Hamiltonian. This finding underlines the needmore » of additional developments before the RQRPA could be adopted as a reliable tool to compute {beta}{beta} processes. {copyright} {ital 1996 The American Physical Society.}« less
  • The renormalized proton-neutron quasiparticle random-phase approximation model (RQRPA) has been used to calculate double-{beta}-decay matrix elements and associated transition half-lives for two-neutrino double {beta} decay of parent nuclei {sup 76}Ge, {sup 78}Kr, {sup 82}Se, {sup 96}Zr, {sup 106}Cd, and {sup 130}Te to the ground state and excited one- and two-phonon states of their daughter nuclei. The results are compared to ordinary proton-neutron QRPA and experiments. In addition, the violation of the Ikeda sum rule in the RQRPA is examined and discussed. {copyright} {ital 1997} {ital The American Physical Society}