Kaonic nuclei studied based on a new framework of Antisymmetric Molecular Dynamics

We have developed a new framework of Antisymmetrized Molecular Dynamics (AMD), to adequately treat the I=0 \={K}N interaction, which is essential to study kaonic nuclei. The improved points are 1) pK$^-$/n\={K}$^0$ mixing and 2) total spin and isospin projections. These improvements enable us to investigate various kaonic nuclei (ppnK$^-$, pppK$^-$, pppnK$^-$, $^6$BeK$^-$ and $^9$BK$^-$) systematically. We have found that they are deeply bound and extremely dense with a variety of shapes.Comment: 10 pages, 5 figure

High-density \={K} nuclear systems with isovector deformation

Using a phenomenological \={K}N potential which reproduces $\Lambda$(1405) as an I=0 bound state of \={K}N, we investigated deeply bound kaonic nuclei, ppnK$^-$ and $^8$BeK$^-$, with the method of Antisymmetrized Molecular Dynamics. Our calculations show that strongly bound kaonic nuclear systems with unusual exotic structures are formed around the K$^-$, which attracts the surrounding nucleons to an extremely high-density assembly and induces a proton-neutron separation, ``isovector deformation''.Comment: 4 pages, 11 figures, submitted to Phys. Rev. Let

Comprehensive application of a coupled-channel complex scaling method to the KbarN-piY system

We have applied the coupled-channel complex scaling method (ccCSM) to K^{bar}N-\pi Y system. One advantage of ccCSM is that resonant states as well as scattering states can be treated in the same framework. For the interactions in the system, we have constructed a meson-baryon potential-matrix by basing on the chiral SU(3) theory and respecting the K^{bar}N scattering length obtained in the Martin's analysis. For future purpose to apply it more complicated system such as K^{bar}NN, we adopt a local Gaussian form in the r-space. We have investigated both the non-relativistic (NR) and the semi-relativistic (SR) kinematics. In the SR case, two types of the potentials are obtained. To test the constructed potentials, we have calculated scattering amplitudes and searched resonances. One resonance pole, corresponding to \Lambda(1405), is found in isospin I=0 system around (1419, -20) MeV ((1425, -25) or (1419, -13) MeV) on complex-energy plane with the NR (SR) kinematics. Mean distance between meson and baryon in the resonant state is 1.3 - i0.3 fm (1.2 - i0.5 fm) for NR (SR), in which the states are treated as Gamow states. In addition, we have observed a signature of another pole in lower-energy region involving large decay width, although they are unstable against the change of scaling angle \theta. This may correspond to the lower pole of the double-pole of \Lambda(1405) discussed in literature to date.Comment: 51 pages, 17 figures, to appear in Nuclear Physics

Fully coupled-channel study of K−ppK^-pp resonance in a chiral SU(3)-based KˉN\bar{K}N potential

We have investigated the most essential kaonic nucleus "$K^-pp$" as a resonant state of the $\bar{K}NN$-$\pi\Sigma N$-$\pi\Lambda N$ coupled channel system using a chiral SU(3)-based $\bar{K}N$ potential. We treat the "$K^-pp$" resonance adequately with a fully coupled-channel complex scaling method (full ccCSM). Self-consistency needs to be considered for the energy dependence of the chiral SU(3)-based potential. In the present study, we propose a simple prescription for the treatment of self-consistency, considering the {\it averaged threshold} and {\it averaged binding energy of mesons}. With this prescription, we have successfully found the self-consistent solutions of the "$K^-pp$" three-body resonance. The results indicate that the "$K^-pp$" system is bound rather shallowly. In particular, when the potential parameters are constrained with the latest $\bar{K}N$ scattering length, the binding energy and half of the mesonic decay width are obtained as $14-50$ MeV and $8-19$ MeV, respectively.Comment: 7 pages, 2 figures, accepted by Phys. Lett.

Strange tribaryons as Kbar-mediated dense nuclear systems

We discuss the implications of recently discovered strange tribaryons in 4He(stopped-K-, p)S0 (3115) and 4He(stopped-K, n) S1 (3140) within the framework of deeply bound kbar states formed on shrunk nuclear cores. S1 (3140) corresponds to T=0 ppnK-, whereas S0 (3115) to T=1 pnnK-, which is an isobaric analog state of pppK-, predicted previously. The observed binding energies can be accounted for by including the relativistic effect and by invoking a medium-enhanced kbar-N interaction by 15%. We propose various experimental methods to further study these and related bound systems.Comment: 8 pages, 6 figure

Modification of triaxial deformation and change of spectrum in $^{25}_{\ \Lambda}MgcausedbyMg caused by \Lambda$ hyperon

The positive-parity states of $^{25}_{\ \Lambda}$Mg with a $\Lambda$ hyperon in $s$ orbit were studied with the antisymmetrized molecular dynamics for hypernuclei. We discuss two bands of $^{25}_{\ \Lambda}$Mg corresponding to the $K^\pi=0^+$ and $2^+$ bands of $^{24}$Mg. It is found that the energy of the $K^\pi = 2^+ \otimes \Lambda_s$ band is shifted up by about 200 keV compared to $^{24}$Mg. This is because the $\Lambda$ hyperon in $s$ orbit reduces the quadrupole deformation of the $K^\pi = 0^+ \otimes \Lambda_s$ band, while it does not change the deformation of the $K^\pi = 2^+ \otimes \Lambda_s$ band significantly.Comment: 19 pages, 3 figure