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

Abstract

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 ($K_{\mathrm{stop}}^{-},\pi$) 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.

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

References in corpus (1)

• Antikaons in nuclei and dense nuclear matter

Cited by in corpus (70)

• Strangeness in nuclear physics
• Faddeev calculation of a $K^{-}pp$ quasi-bound state
• Strangeness in Nuclei and Neutron Stars
• Strangeness Production close to Threshold in Proton-Nucleus and Heavy-Ion Collisions
• $\bar{K}NN$ quasi-bound state and the $\bar{K}N$ interaction: coupled-channel Faddeev calculations of the $\bar{K}NN-\pi \Sigma N$ system
• The basic K nuclear cluster K- pp and its enhanced formation in the p + p -> K+ + X reaction
• A critical view on the deeply bound K^- pp system
• $\bar{K}$ nuclear bound states in a dynamical model
• Kaonic nuclei studied based on a new framework of Antisymmetric Molecular Dynamics
• Meson-nucleus potentials and the search for meson-nucleus bound states
• Chirally motivated $\bar{K}N$ amplitudes for in-medium applications
• Antikaon production in A+A collisions at SIS energies within an off-shell G-matrix approach
• Invariant-Mass Spectroscopy for Condensed Single- and Double-\kbar Nuclear Clusters to be Formed as Residues in Relativistic Heavy-Ion Collisions
• The antikaon nuclear potential in hot and dense matter
• First Results on 12Lambda-C production at DAPHNE
• Chirally motivated K^- nuclear potentials
• Strange tribaryons as Kbar-mediated dense nuclear systems
• A critical analysis on deeply bound kaonic states in nuclei
• Statistical production of antikaon nuclear bound states in heavy ion collisions
• K^- nuclear potentials from in-medium chirally motivated models
• Widths of $\bar{K}$-nuclear deeply bound states in a dynamical model
• A narrow $DNN$ quasi-bound state
• Correlated $\Lambda d$ pairs from the $K_{stop}^{-}A\to \Lambda d{A}^{\prime }$ reaction
• Density dependent hadron field theory for neutron stars with antikaon condensates
• Hypernuclear spectroscopy with K${}^{-}$ at rest on ${}^7$Li, ${}^9$Be, ${}^{13}$C and ${}^{16}$O
• Antikaons and hyperons in nuclear matter with saturation
• In--Flight ($K^{-},p$) Reactions for the Formation of Kaonic Atoms and Kaonic Nuclei in Green function method
• Separable potential model for $K^{-}N$ interactions at low energies
• In-medium Eta-Nucleon interactions and Eta nuclear bound states
• Kaonic hydrogen versus the $K^{-}p$ low energy data
• ${\bar{K}}^{\ast }$ meson in dense matter
• $\bar{K}NN$ Absorption within the Framework of the Fixed Center Approximation to Faddeev equations
• Hadron Physics at J-PARC
• Critical review of [K- ppn] bound states
• Kaonic atoms and in-medium $K^{-}N$ amplitudes
• $K^{-}/K^{+}$ ratio in heavy-ion collisions at GSI with an antikaon self-energy in hot and dense matter
• Chirally motivated separable potential model for $\eta N$ amplitudes
• Calculation of the ${}^3$He(in-flight $K^{-}$,$n$) reaction for searching the deeply-bound $K^{-}pp$ state
• The properties of kaonic nuclei in relativistic mean-field theory
• Isospin Properties of ($K^{-}$, $N$) Reactions for the Formation of Deeply-bound Antikaonic Nuclei
• Constraints on the threshold K- nuclear potential from FINUDA (stopped K-, pi-) hypernuclear spectra
• Radial sensitivity of kaonic atoms and strongly bound $\bar{K}$ states
• Deeply-bound $K^{-}pp$ state in the ${}^3$He(in-flight $K^{-}$, $n$) spectrum and its moving pole near the $\pi \Sigma N$ threshold
• Proton emission off nuclei induced by kaons in flight
• Kaon Absorption from Kaonic Atoms and Formation Spectra of Kaonic Nuclei
• Bayesian Inference of dense matter equation of state of neutron star with antikaon condensation
• The $\sigma K$ coupling in the chiral unitary approach and the isoscalar $\bar{K}N$, $\bar{K}A$ interaction
• Determination of the \bar K^0 d scattering length from the reaction pp \to d \bar K^0 K^+
• Phi meson production in near threshold proton-nucleus collisions
• First application of a microscopic $K^{-}NN$ absorption model in calculations of kaonic atoms
• Formation of Deeply Bound Kaonic Atoms in (K^-,N) Reactions
• Unitarized chiral perturbation theory of hadrons
• The K^- αscattering length and the reaction dd \to αK^+ K^-
• Latest results for the antikaon-nucleon optical potential
• Production of a 4He_Lambda hypernucleus in the 4He(pi, K) reactions reexamined
• Kaon pair production in proton-nucleus collisions at 2.83 GeV kinetic energy
• Further considerations concerning claims for deeply bound kaon atoms and reply to criticisms
• Overview of Antikaon-Nuclear Quasi-Bound States
• K^- ^3He and K^+K^- interactions in the pd -> ^3He K^+K^- reaction
• Lambda-hypernuclear production in stopped (K-,pion) reactions reexamined
• The Role of Strangeness in Astrophysics - an Odyssey through Strange Phases
• Antikaon-nucleus dynamics: from quasibound states to kaon condensation
• Novel halos in light kaonic nuclei as an indicator of nuclear equation of state at supra-normal densities
• Level inversion in kaonic nuclei and the high-density nuclear equation of state
• Kaon-antikaon nuclear optical potentials and the kappa meson in the nuclear medium
• Antikaon angular distributions in the reaction $\gamma d\to K^{-}{\Theta }^{+}p\to K^{-}{K}^{+}np$ near the threshold and the parity of the ${\Theta }^{+}$ pentaquark
• The (K-,p) reaction on nuclei with in-flight kaons
• Ground-state properties of light kaonic nuclei signaling symmetry energy at high densities
• $\bar{K}$-Nuclear Deeply Bound States?
• Selected topics on Hadrons in Nuclei