Extension of time-dependent Hartree-Fock-Bogoliubov equations
Mitsuru Tohyama, Peter Schuck
TL;DR
This paper introduces an extended time-dependent Hartree-Fock-Bogoliubov theory (ETDHFB) that incorporates higher-order effects like pairing correlation screening, tested on fermion systems and isotopes, showing minimal screening impact.
Contribution
The paper presents a novel extension of TDHFB theory including higher-order effects such as screening, validated through applications to fermion systems and nuclear isotopes.
Findings
Screening effect on pairing correlation is minimal.
ETDHFB accurately reproduces exact solutions for trapped fermion systems.
Perturbative expressions enable analysis of pairing and density matrices.
Abstract
An extension of the time-dependent Hartree-Fock-Bogoliubov theory (ETDHFB) which includes higher-order effects such as screening of the pairing correlation is proposed. ETDHFB is applied to a fermion system trapped in a harmonic potential to test its feasability by comparison with the exact solution. With the use of perturbative expressions for the pairing tensor and the two-body density matrix derived from ETDHFB, the screening effect is investigated for atomic fermion systems and isotopes of tin nuclei. It is found that the screening effect on the pairing correlation is not significant.
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