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Register a new userExperimental status of deeply bound kaonic states in nuclei
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We review recent claims of the existence of deeply bound kaonic states in nuclei. Also we study in details the (K-,p) reaction on C12 with 1 GeV/c momentum kaon beam, based on which a deep kaon nucleus optical potential was claimed in [1]. In our Monte Carlo simulation of this reaction we include not only the quasi-elastic K- p scattering, as in [1], but also K- absorption by one and two nucleons followed by the decay of the hyperon in pi N, which can also produce strength in the region of interest. The final state interactions in terms of multiple scattering of the K-, p and all other primary particles on their way out of the nucleus is also considered. We will show that all these additional mechanisms allow us to explain the observed spectrum with a standard shallow kaon nucleus optical potential obtained in chiral models. [1] T. Kishimoto et al., Prog. Theor. Phys. 118, 181 (2007).
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We have measured proton and neutron energy spectra by stopping negative kaons on liquid helium4. Two distinct peak structures were found on both spectra, which were assigned to the formation of new kinds of strange stribaryons. In this paper, we summarize both results.
The effects of an additional $K^-$ meson on the neutron and proton drip lines are investigated within Skyrme-Hartree-Fock approach combined with a Skyrme-type kaon-nucleon interaction. While an extension of the proton drip line is observed due to the strongly attractive $K^-p$ interaction, contrasting effects (extension and reduction) on the neutron drip line of Be, O, and Ne isotopes are found. The origin of these differences is attributed to the behavior of the highest-occupied neutron single-particle levels near the neutron drip line.
As the experimental data from kaonic atoms and $K^{-}N$ scatterings imply that the $K^{-}$-nucleon interaction is strongly attractive at saturation density, there is a possibility to form $K^{-}$-nuclear bound states or kaonic nuclei. In this work, we investigate the ground-state properties of the light kaonic nuclei with the relativistic mean field theory. It is found that the strong attraction between $K^{-}$ and nucleons reshapes the scalar and vector meson fields, leading to the remarkable enhancement of the nuclear density in the interior of light kaonic nuclei and the manifest shift of the single-nucleon energy spectra and magic numbers therein. As a consequence, the pseudospin symmetry is shown to be violated together with enlarged spin-orbit splittings in these kaonic nuclei.
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 $theta_{rm lab} = 0^{circ}$, introducing a complex effective nucleon number $N_{rm eff}$ 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 ${rm Re}N_{rm eff}$ and ${rm Arg}N_{rm eff}$ 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.
It is very difficult for any nuclear model to pin down the saturation property and high-density equation of state (EOS) simultaneously because of high nonlinearity of the nuclear many-body problem. In this work, we propose, for the first time, to use the special property of light kaonic nuclei to characterize the relation between saturation property and high-density EOS. With a series of relativistic mean-field models, this special property is found to be the level inversion between orbitals $2S_{1/2}$ and $1D_{5/2}$ in light kaonic nuclei. This level inversion can serve as a theoretical laboratory to group the incompressibility at saturation density and the EOS at supra-normal densities simultaneously.
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