Study of chirally motivated low-energy $K^-$ optical potentials

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dc.creatorCieply, A.
dc.creatorFriedman, E.
dc.creatorGal, A.
dc.creatorMares, J.
dc.date2001-04-30
dc.date2001-06-09
dc.date.accessioned2026-07-07T10:34:34Z
dc.date.available2026-07-07T10:34:34Z
dc.descriptionThe $K^-$ optical potential in the nuclear medium is evaluated self consistently from a free-space $K^-N$ $t$ matrix constructed within a coupled-channel chiral approach to the low-energy $\bar K N$ data. The chiral-model parameters are fitted to a select subset of the low-energy data {\it plus} the $K^-$ atomic data throughout the periodic table. The resulting attractive $K^-$ optical potentials are relatively `shallow', with central depth of the real part about 55 MeV, for a fairly reasonable reproduction of the atomic data with $χ^2 / N \approx 2.2$. Relatively `deep' attractive potentials of depth about 180 MeV, which result in other phenomenological approaches with $χ^2 / N \approx 1.5$, are ruled out within chirally motivated models. Different physical data input is required to distinguish between shallow and deep $K^-$ optical potentials. The ($K^{-}_{\rm stop},π$) reaction could provide such a test, with exclusive rates differing by over a factor of three for the two classes of potentials. Finally, forward ($K^-,p$) differential cross sections for the production of relatively narrow deeply bound $K^-$ {\it nuclear} states are evaluated for deep $K^-$ optical potentials, yielding values considerably lower than those estimated before.
dc.description22 pages, 3 figures, minor revisions, Nucl. Phys. A in press
dc.identifierhttps://arxiv.org/abs/nucl-th/0104087
dc.identifierhttp://arxiv.org/abs/nucl-th/0104087
dc.identifierNucl.Phys.A696:173-193,2001
dc.identifierdoi:10.1016/S0375-9474(01)01145-9
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/179515
dc.subjectNuclear Theory
dc.titleStudy of chirally motivated low-energy $K^-$ optical potentials
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