dorsal/arxiv
View Schema$\bar K$ nuclear bound states in a dynamical model
| Authors | J. Mareš, E. Friedman, A. Gal |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0601009 |
| URL | https://arxiv.org/abs/nucl-th/0601009 |
| DOI | 10.1016/j.nuclphysa.2006.02.010 |
| Journal | Nucl.Phys.A770:84-105,2006 |
Abstract
A comprehensive data base of K- atom level shifts and widths is re-analyzed in order to study the density dependence of the Kbar-nuclear optical potential. Significant departure from a t*rho form is found only for nuclear densities about and less than 20% of nuclear-matter density, and extrapolation to nuclear-matter density yields an attractive potential, about 170 MeV deep. Partial restoration of chiral symmetry compatible with pionic atoms and low-energy pion-nuclear data plays no role at the relevant low-density regime, but this effect is not ruled out at high densities. Kbar-nuclear bound states are generated across the periodic table self consistently, using a relativistic mean-field model Lagrangian which couples the Kbar to the scalar and vector meson fields mediating the nuclear interactions. The reduced phase space available for Kbar absorption from these bound states is taken into account by adding an energy-dependent imaginary term which underlies the corresponding Kbar-nuclear level widths, with a strength required by fits to the atomic data. Substantial polarization of the core nucleus is found for light nuclei, and the binding energies and widths calculated in this dynamical model differ appreciably from those calculated for a static nucleus. A wide range of binding energies is spanned by varying the Kbar couplings to the meson fields. Our calculations provide a lower limit of Gamma(Kbar) = 50 +/- 10 MeV on the width of nuclear bound states for Kbar binding energy in the range B(Kbar) = 100 - 200 MeV. Comments are made on the interpretation of the FINUDA experiment at DAFNE, Frascati, which claimed evidence for deeply bound (K- pp) states in light nuclei.
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"abstract": "A comprehensive data base of K- atom level shifts and widths is re-analyzed\nin order to study the density dependence of the Kbar-nuclear optical potential.\nSignificant departure from a t*rho form is found only for nuclear densities\nabout and less than 20% of nuclear-matter density, and extrapolation to\nnuclear-matter density yields an attractive potential, about 170 MeV deep.\nPartial restoration of chiral symmetry compatible with pionic atoms and\nlow-energy pion-nuclear data plays no role at the relevant low-density regime,\nbut this effect is not ruled out at high densities. Kbar-nuclear bound states\nare generated across the periodic table self consistently, using a relativistic\nmean-field model Lagrangian which couples the Kbar to the scalar and vector\nmeson fields mediating the nuclear interactions. The reduced phase space\navailable for Kbar absorption from these bound states is taken into account by\nadding an energy-dependent imaginary term which underlies the corresponding\nKbar-nuclear level widths, with a strength required by fits to the atomic data.\nSubstantial polarization of the core nucleus is found for light nuclei, and the\nbinding energies and widths calculated in this dynamical model differ\nappreciably from those calculated for a static nucleus. A wide range of binding\nenergies is spanned by varying the Kbar couplings to the meson fields. Our\ncalculations provide a lower limit of Gamma(Kbar) = 50 +/- 10 MeV on the width\nof nuclear bound states for Kbar binding energy in the range B(Kbar) = 100 -\n200 MeV. Comments are made on the interpretation of the FINUDA experiment at\nDAFNE, Frascati, which claimed evidence for deeply bound (K- pp) states in\nlight nuclei.",
"arxiv_id": "nucl-th/0601009",
"authors": [
"J. Mare\u0161",
"E. Friedman",
"A. Gal"
],
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"nucl-th"
],
"doi": "10.1016/j.nuclphysa.2006.02.010",
"journal_ref": "Nucl.Phys.A770:84-105,2006",
"title": "$\\bar K$ nuclear bound states in a dynamical model",
"url": "https://arxiv.org/abs/nucl-th/0601009"
},
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