Strange meson–nucleon states in the quark potential model

Autor: Jun-Chen Su, Hai-Jhun Wanng
Rok vydání: 2006
Předmět:
Zdroj: Journal of Physics G: Nuclear and Particle Physics. 32:713-734
ISSN: 1361-6471
0954-3899
DOI: 10.1088/0954-3899/32/5/008
Popis: The quark potential model and resonating group method are used to investigate the $\bar{K}N$ bound states and/or resonances. The model potential consists of the t-channel and s-channel one-gluon exchange potentials and the confining potential with incorporating the QCD renormalization correction and the spin-orbital suppression effect in it. It was shown in our previous work that by considering the color octet contribution, use of this model to investigate the $KN$ low energy elastic scattering leads to the results which are in pretty good agreement with the experimental data. In this paper, the same model and method are employed to calculate the masses of the $\bar{K}N$ bound systems. For this purpose, the resonating group equation is transformed into a standard Schr\"odinger equation in which a nonlocal effective $\bar{K}N$ interaction potential is included. Solving the Schr\"odinger equation by the variational method, we are able to reproduce the masses of some currently concerned $\bar{K}N$ states and get a view that these states possibly exist as $\bar{K}N$ molecular states. For the $KN$ system, the same calculation gives no support to the existence of the resonance $\Theta ^{+}(1540)$ which was announced recently.
Comment: 15 pages, 4 figures
Databáze: OpenAIRE