Akinobu Dote, Takashi Inoue, Takayuki Myo
We have investigated $\bar{K}N$-$\pi Y$ system with a coupled-channel complex scaling method (ccCSM). By an advanced use of the ccCSM, scattering states as well as resonant states can be treated in the same framework. Respecting the experimental value of $\bar{K}N$ scattering length, we have constructed a meson-baryon potential matrix based on a chiral SU(3) theory, with a local Gaussian form in $r$-space. To test the property of the constructed potential, we have studied the scattering amplitude for isospin I=0 and I=1 channels and a resonant state in the I=0 channel, in the ccCSM with both non- and semi-relativistic kinematics. The resonant pole corresponding to $\Lambda(1405)$ is found around (1419, $-$20) MeV ((1419, $-$13) MeV) on complex-energy plane with the non-relativistic (semi-relativistic) kinematics. Mean distance between meson and baryon in the resonant state is about $1.3 - i0.3$ ($1.2 - i0.5$) fm, which means that the state is considered as a Gamow state.
View original:
http://arxiv.org/abs/1207.5279
No comments:
Post a Comment