Isospin Properties of ($K^{-}$, $N$) Reactions for the Formation of Deeply-bound Antikaonic Nuclei

Abstract

The formation of deeply-bound antikaonic $K^{-}/{\bar{K}}^0$ nuclear states by nuclear ($K^{-}$, $N$) reactions is investigated theoretically within a distorted-wave impulse approximation (DWIA), considering the isospin properties of the Fermi-averaged $K^{-}+N\to N+\bar{K}$ elementary amplitudes. We calculate the formation cross sections of the deeply-bound $\bar{K}$ states by the ($K^{-}$, $N$) reactions on the nuclear targets, ${}^{12}$C and ${}^{28}$Si, at incident $K^{-}$ lab momentum $p_{K^{-}}$ = 1.0 GeV/c and ${\theta }_{\mathrm{lab}}=0^{\circ }$, introducing a complex effective nucleon number $N_{\mathrm{eff}}$ for unstable bound states in the DWIA. The results show that the deeply-bound $\bar{K}$ states can be populated dominantly by the ($K^{-}$, $n$) reaction via the total isoscalar $\Delta T=0$ transition owing to the isospin nature of the $K^{-}+N\to N+\bar{K}$ amplitudes, and that the cross sections described by $\mathrm{Re}{N}_{\mathrm{eff}}$ and $\mathrm{Arg}{N}_{\mathrm{eff}}$ enable to deduce the structure of the $\bar{K}$ nuclear states; the calculated inclusive nucleon spectra for a deep $\bar{K}$-nucleus potential do not show distinct peak structure in the bound region. The few-body $\bar{K}\otimes [NN]$ and $\bar{K}\otimes [NNN]$ states formed in ($K^{-}$, $N$) reactions on $s$-shell nuclear targets, ${}^3$He, ${}^3$H and ${}^4$He, are also discussed.

arXiv comment61 pages, 17 figures, proofread version to be published in Nucl. Phys. A

References in corpus (32)

• Non perturbative chiral approach to s-wave \bar{K}N interactions
• Chiral Dynamics and the Low Energy Kaon-Nucleon Interaction
• In-medium nuclear interactions of low-energy hadrons
• Chiral Restoration in Hot and/or Dense Matter
• The properties of \bar{K} in the nuclear medium
• Kaons in dense matter, kaon production in heavy-ion collisions, and kaon condensation in neutron stars
• Faddeev calculation of a $K^{-}pp$ quasi-bound state
• Nuclear kaon dynamics
• Strange dibaryon resonance in the anti-KNN--piYN system
• The basic K nuclear cluster K- pp and its enhanced formation in the p + p -> K+ + X reaction
• $\bar{K}NN$ quasi-bound state and the $\bar{K}N$ interaction: coupled-channel Faddeev calculations of the $\bar{K}NN-\pi \Sigma N$ system
• Kaon Condensation in Neutron Star Matter with Hyperons
• Medium Modified Cross Sections, Temperature and Finite Momentum Effects for Antikaon Production in Heavy-Ion Collisions
• Kaon Condensation in Dense Stellar Matter
• Study of chirally motivated low-energy $K^{-}$ optical potentials
• $\bar{K}$ nuclear bound states in a dynamical model
• Effective kaon mass in dense baryonic matter: role of correlations
• Kaonic nuclei studied based on a new framework of Antisymmetric Molecular Dynamics
• Deeply bound levels in kaonic atoms
• Kaonic nuclei excited by the $(K^{-},N)$ reaction
• Widths of $\bar{K}$-nuclear deeply bound states in a dynamical model
• First observation of in-medium effects on phase space distributions of antikaons measured in proton-nucleus collisions
• Search for strange tribaryon states in the inclusive ^4He(K^{-}_{stopped}, p) reaction
• $\Lambda d$ correlations from the ${}^4$He(stopped-$K^{-}$,$d$) reaction
• In--Flight ($K^{-},p$) Reactions for the Formation of Kaonic Atoms and Kaonic Nuclei in Green function method
• Formation of mesic nuclei by (γ,p) reactions
• Chiral Dynamics of the low-energy Kaon-Baryon interactions
• Formation of Kaonic Atoms and Kaonic Nuclei by In-flight ($K^{-},p$) reactions
• Calculation of the ${}^3$He(in-flight $K^{-}$,$n$) reaction for searching the deeply-bound $K^{-}pp$ state
• Photoproduction of quasi-bound omega mesons in nuclei
• Deeply bound pionic atoms from the $(\gamma ,p)$ reaction in nuclei
• Formation of Deeply Bound Kaonic Atoms in (K^-,N) Reactions

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