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2007•Unpublished venueRequires access

Pairing correlations with the Gogny force

N. Pillet, J.-F. Berger, E. Caurier, Héloïse Goutte, N. Sandulescu, P. Schuck

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Abstract

Abstract. In this contribution we present two separated studies that deal with pairing correlations. The first one corresponds to a new development that aims to include correlations beyond mean field in an unified way and which is called Variational multiparticle-multihole (mpmh) configuration mixing method. Its main characteristic is that it conserves explicitly particle numbers unlike the usual HFB or BCS approaches. A comparison with BCS calculations shows that it is able to restore many correlations in weak pairing regime. The second study is devoted to the localisation and size of Cooper pairs in nuclei. We have defined the Cooper pair wave function in HFB approach. The main feature is that we obtain a shrinking of Cooper pair size (that is of the order of 2–3 fm) at the nuclei surface compare to the center of the nucleus. 1

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What this paper is about

Abstract. In this contribution we present two separated studies that deal with pairing correlations. The first one corresponds to a new development that aims to include correlations beyond mean field in an unified way and which is called Variational multiparticle-multihole (mpmh) configuration mixing method. Its main characteristic is that it conserves explicitly particle numbers unlike the usual HFB or BCS approaches. A comparison with BCS calculations shows that it is able to restore many correlations in weak pairing regime. The second study is devoted to the localisation and size of Cooper pairs in nuclei. We have defined the Cooper pair wave function in HFB approach. The main feature is that we obtain a shrinking of Cooper pair size (that is of the order of 2–3 fm) at the nuclei surface compare to the center of the nucleus. 1

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Available abstract

Abstract. In this contribution we present two separated studies that deal with pairing correlations. The first one corresponds to a new development that aims to include correlations beyond mean field in an unified way and which is called Variational multiparticle-multihole (mpmh) configuration mixing method. Its main characteristic is that it conserves explicitly particle numbers unlike the usual HFB or BCS approaches. A comparison with BCS calculations shows that it is able to restore many correlations in weak pairing regime. The second study is devoted to the localisation and size of Cooper pairs in nuclei. We have defined the Cooper pair wave function in HFB approach. The main feature is that we obtain a shrinking of Cooper pair size (that is of the order of 2–3 fm) at the nuclei surface compare to the center of the nucleus. 1

Key concepts: Pairing, Cooper pair, Physics, Mixing (physics), Mean field theory, Wave function, Statistical physics, Function (biology)

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