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Phys. Rev. C 80, 047301 (2009) [4 pages]

Test of finite temperature random-phase approximation on a Lipkin model

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K. Hagino1 and F. Minato2
1Department of Physics, Tohoku University, Sendai 980-8578, Japan
2Innovative Nuclear Science Research Group, Japan Atomic Energy Agency, Tokai, Ibaraki 319-1195, Japan

Received 11 August 2009; published 5 October 2009

We investigate the applicability of the 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.

© 2009 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevC.80.047301
DOI:
10.1103/PhysRevC.80.047301
PACS:
21.60.Jz, 24.30.Cz, 21.10.Pc, 26.30.-k