Spin-orbit splitting in low-j neutron orbits and proton densities in the nuclear interior

dc.creatorTodd, B. G.
dc.creatorPiekarewicz, J.
dc.creatorCottle, P. D.
dc.date2003-06-12
dc.date.accessioned2026-07-07T05:39:37Z
dc.date.available2026-07-07T05:39:37Z
dc.descriptionOn the basis of relativistic mean field calculations, we predict that the spin-orbit splitting of $p_{3/2}$ and $p_{1/2}$ neutron orbits depends sensitively on the magnitude of the proton density near the center of the nucleus, and in particular on the occupation of $s_{1/2}$ proton orbits. We focus on two exotic nuclei, $^{46}$Ar and $^{206}$Hg, in which the presence of a pair of $s_{1/2}$ proton holes is predicted to cause the splitting between the $p_{3/2}$ and $p_{1/2}$ neutron orbits near the Fermi surface to be much smaller than in the nearby doubly-magic nuclei $^{48}$Ca and $^{208}$Pb. We note that these two exotic nuclei depart from the long-standing paradigm of a central potential proportional to the ground state baryon density and a spin-orbit potential proportional to the derivative of the central potential.
dc.description4 pages, 4 figures
dc.identifierhttps://arxiv.org/abs/nucl-th/0306042
dc.identifierhttp://arxiv.org/abs/nucl-th/0306042
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/82029
dc.subjectNuclear Theory
dc.titleSpin-orbit splitting in low-j neutron orbits and proton densities in the nuclear interior
dc.typetext

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