Note on spin-orbit interactions in nuclei and hypernuclei

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dc.creatorKaiser, N.
dc.creatorWeise, W.
dc.date2008-02-08
dc.date.accessioned2026-07-07T11:40:13Z
dc.date.available2026-07-07T11:40:13Z
dc.descriptionA detailed comparison is made between the spin-orbit interactions in $Λ$ hypernuclei and ordinary nuclei. We argue that there are three major contributions to the spin-orbit interaction: 1) a short-range component involving scalar and vector mean fields; 2) a ''wrong-sign'' spin-orbit term generated by the pion exchange tensor force in second order; and 3) a three-body term induced by two-pion exchange with excitation of virtual $Δ(1232)$-isobars (a la Fujita-Miyazawa). For nucleons in nuclei the long-range pieces related to the pion-exchange dynamics tend to cancel, leaving room dominantly for spin-orbit mechanisms of short-range origin (parametrized e.g. in terms of relativistic scalar and vector mean fields terms). In contrast, the absence of an analogous $2π$-exchange three-body contribution for $Λ$ hyperons in hypernuclei leads to an almost complete cancellation between the short-range (relativistic mean-field) component and the ''wrong-sign'' spin-orbit interaction generated by second order $π$-exchange with an intermediate $Σ$ hyperon. These different balancing mechanisms between short- and long-range components are able to explain simultaneously the very strong spin-orbit interaction in ordinary nuclei and the remarkably weak spin-orbit splitting in $Λ$ hypernuclei.
dc.description10 pages, 7 figures, to be published in Nuclear Physics A, Special Issue on "Strangeness Nuclear Physics (ed. A. Gal)
dc.identifierhttps://arxiv.org/abs/0802.1190
dc.identifierhttp://arxiv.org/abs/0802.1190
dc.identifierNucl.Phys.A804:60-70,2008
dc.identifierdoi:10.1016/j.nuclphysa.2008.02.299
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/200186
dc.subjectNuclear Theory
dc.titleNote on spin-orbit interactions in nuclei and hypernuclei
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