Inverse scattering J-matrix approach to nucleon-nucleus scattering and the shell model

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dc.creatorShirokov, A. M.
dc.creatorMazur, A. I.
dc.creatorVary, J. P.
dc.creatorMazur, E. A.
dc.date2008-06-25
dc.date2008-10-06
dc.date.accessioned2026-07-07T12:42:34Z
dc.date.available2026-07-07T12:42:34Z
dc.descriptionThe $J$-matrix inverse scattering approach can be used as an alternative to a conventional $R$-matrix in analyzing scattering phase shifts and extracting resonance energies and widths from experimental data. A great advantage of the $J$-matrix is that it provides eigenstates directly related to the ones obtained in the shell model in a given model space and with a given value of the oscillator spacing $\hbarΩ$. This relationship is of a particular interest in the cases when a many-body system does not have a resonant state or the resonance is broad and its energy can differ significantly from the shell model eigenstate. We discuss the $J$-matrix inverse scattering technique, extend it for the case of charged colliding particles and apply it to the analysis of $nα$ and $pα$ scattering. The results are compared with the No-core Shell Model calculations of $^5$He and $^5$Li.
dc.descriptionSome text is added following suggestions of a journal referee
dc.identifierhttps://arxiv.org/abs/0806.4018
dc.identifierhttp://arxiv.org/abs/0806.4018
dc.identifierPhys.Rev.C79:014610,2009
dc.identifierdoi:10.1103/PhysRevC.79.014610
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/220120
dc.subjectNuclear Theory
dc.titleInverse scattering J-matrix approach to nucleon-nucleus scattering and the shell model
dc.typetext

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