Test of finite temperature RPA on a Lipkin model

Abstract

We investigate the applicability of finite temperature random phase approximation (RPA) using a solvable Lipkin model. We show that the finite temperature RPA reproduces reasonably well the temperature dependence of total strength, both for the positive energy (i.e., the excitation) and the negative energy (i.e., the de-excitation) parts. This is the case even at very low temperatures, which may be relevant to astrophysical purposes.

arXiv comment5 pages, 5 eps figures. To appear in Phys. Rev. C

References in corpus (4)

• Large-scale QRPA calculation of E1-strength and its impact on the neutron capture cross section
• Unblocking of the Gamow-Teller strength in stellar electron capture on neutron-rich Germanium isotopes
• Finite Temperature Many-Body Theory with the Lipkin Model
• Centroids of Gamow-Teller transitions at finite temperature in fp-shell neutron-rich nuclei

Cited by in corpus (1)

• $\beta$-decay half-lives at finite temperatures for N=82 isotones