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Scaling properties of the pairing problem in the strong coupling limit.

Authors :
Barbaro, M.B.
Cenni, R.
Molinari, A.
Quaglia, M.R.
Source :
Annals of Physics. Oct2013, Vol. 337, p221-237. 17p.
Publication Year :
2013

Abstract

Abstract: We study the excited states of the pairing Hamiltonian providing an expansion for their energy in the strong coupling limit. To assess the role of the pairing interaction we apply the formalism to the case of a heavy atomic nucleus. We show that only a few statistical moments of the level distribution are sufficient to yield an accurate estimate of the energy for not too small values of the coupling and we give the analytic expressions of the first four terms of the series. Further, we discuss the convergence radius of the expansion showing that it strongly depends upon the details of the level distribution. Furthermore is not related to the critical values of the coupling , which characterize the physics of the pairing Hamiltonian, since it can exist even in the absence of these critical points. [Copyright &y& Elsevier]

Details

Language :
English
ISSN :
00034916
Volume :
337
Database :
Academic Search Index
Journal :
Annals of Physics
Publication Type :
Academic Journal
Accession number :
89852973
Full Text :
https://doi.org/10.1016/j.aop.2013.07.002