Correlated $\pi \pi$ and $K\bar{K}$ exchange in the baryon-baryon interaction

Abstract

A dynamical model for correlated two-pion and two-kaon exchange in the baryon- baryon interaction is presented, both in the scalar-isoscalar ($\sigma$) and the vector-isovector ($\rho$) channel. The correlations between the two pseudoscalar mesons are taken into account by means of $\pi \pi -K\bar{K}$ amplitudes derived from a meson-exchange model, which is in line with the empirical $\pi \pi$ data. It is found that correlated $K\bar{K}$ exchange plays an important role in the $\sigma$-channel for baryon-baryon states with non- vanishing strangeness. The strength of correlated $\pi \pi$ plus $K\bar{K}$ exchange in the $\sigma$-channel decreases with the strangeness of the baryon- baryon system becoming more negative. The results for correlated $\pi \pi$- exchange in the vector-isovector channel deviate from what is expected in the naive SU(3) picture for genuine $\rho$-exchange. Shortcomings of a simplified description in terms of sharp mass $\sigma$- and $\rho$-exchange are pointed out.

arXiv comment51 pages, Latex file, figures available from [email protected]

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