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

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

2001-04-30

arxiv.org/abs/nucl-th/0104087v2

Nucl.Phys.A696:173-193,2001

Physics

Nuclear Physics

Nuclear Theory

22 pages, 3 figures, minor revisions, Nucl. Phys. A in press

Scientific paper

10.1016/S0375-9474(01)01145-9

The $K^-$ 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 $\chi^2 / N \approx 2.2$. Relatively `deep' attractive potentials of depth about 180 MeV, which result in other phenomenological approaches with $\chi^2 / N \approx 1.5$, are ruled out within chirally motivated models. Different physical data input is required to distinguish between shallow and deep $K^-$ optical potentials. The ($K^{-}_{\rm stop},\pi$) 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.

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