Particle-number conservation in thermodynamic systems within the Richardson model

N Benhamouda; N H Allal; M Fellah; M R Oudih

doi:10.1088/1742-6596/128/1/012031

Journal of Physics: Conference Series

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Particle-number conservation in thermodynamic systems within the Richardson model

N Benhamouda¹, N H Allal^1,2, M Fellah^1,2 and M R Oudih¹

Published under licence by IOP Publishing Ltd
Journal of Physics: Conference Series, Volume 128, THE 5TH INTERNATIONAL SYMPOSIUM ON QUANTUM THEORY AND SYMMETRIES 22–28 July 2007, Valladolid, Spain Citation N Benhamouda et al 2008 J. Phys.: Conf. Ser. 128 012031 DOI 10.1088/1742-6596/128/1/012031

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¹ Laboratoire de Physique Théorique, Faculté de physique, USTHB, BP32, El-Alia, 16111 Bab-Ezzouar, Alger, Algeria

² Centre de Recherche Nucléaire d'Alger, 2 Bd. Frantz Fanon, BP. 399 Alger-Gare, Algiers, Algeria

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Abstract

To describe thermal pairing systems, an approach that combines the modified BCS method and the Lipkin-Nogami particle-number projection method is proposed. The expressions of the thermal pairing gap and internal energy are derived. The latter are numerically studied as a function of the temperature within the Richardson model.

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Particle-number conservation in thermodynamic systems within the Richardson model

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