$Σ$-nuclear spin-orbit coupling from two-pion exchange

dc.creatorKaiser, N.
dc.date2007-11-14
dc.date.accessioned2026-07-07T11:13:11Z
dc.date.available2026-07-07T11:13:11Z
dc.descriptionUsing SU(3) chiral perturbation theory we calculate the density-dependent complex-valued spin-orbit coupling strength $U_{Σls}(k_f)+ i W_{Σls}(k_f)$ of a $Σ$ hyperon in the nuclear medium. The leading long-range $ΣN$ interaction arises from iterated one-pion exchange with a $Λ$ or a $Σ$ hyperon in the intermediate state. We find from this unique long-range dynamics a sizeable ``wrong-sign'' spin-orbit coupling strength of $U_{Σls}(k_{f0}) \simeq -20$ MeVfm$^2$ at normal nuclear matter density $ρ_0 = 0.16 $fm$^{-3}$. The strong $ΣN\to ΛN$ conversion process contributes at the same time an imaginary part of $W_{Σls}(k_{f0}) \simeq -12$ MeVfm$^2$. When combined with estimates of the short-range contribution the total $Σ$-nuclear spin-orbit coupling becomes rather weak.
dc.description7 pages, 2 figures, submitted to Phys. Rev. C
dc.identifierhttps://arxiv.org/abs/0711.2237
dc.identifierhttp://arxiv.org/abs/0711.2237
dc.identifierPhys.Rev.C76:068201,2007
dc.identifierdoi:10.1103/PhysRevC.76.068201
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/191631
dc.subjectNuclear Theory
dc.title$Σ$-nuclear spin-orbit coupling from two-pion exchange
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