The pairing Hamiltonian for one pair of nucleons bound in a potential well

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dc.creatorBarbaro, M. B.
dc.creatorFortunato, L.
dc.creatorMolinari, A.
dc.creatorQuaglia, M. R.
dc.date2000-12-01
dc.date.accessioned2026-07-07T05:38:23Z
dc.date.available2026-07-07T05:38:23Z
dc.descriptionThe problem of one pair of identical nucleons sitting in ${\cal N}$ single particle levels of a potential well and interacting through the pairing force is treated introducing, in the Hamiltonian formalism, even Grassmann variables. The eigenvectors are analytically expressed solely in terms of these with coefficients fixed by the eigenvalues and the single particle energies. For these a specific model is needed: in the case of the harmonic oscillator well, for any strength of the pairing interaction, an accurate expression is derived for both the collective eigenvalue and for those trapped in between the single particle levels. Notably the latter are labelled through an index upon which they depend parabolically.
dc.description15 pages, Latex, 2 figures
dc.identifierhttps://arxiv.org/abs/nucl-th/0012004
dc.identifierhttp://arxiv.org/abs/nucl-th/0012004
dc.identifierAccademia delle Scienze di Torino, Atti Sc. Fis. (2001) 67
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/81594
dc.subjectNuclear Theory
dc.subjectHigh Energy Physics - Phenomenology
dc.titleThe pairing Hamiltonian for one pair of nucleons bound in a potential well
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