dorsal/arxiv
View SchemaCorrelated $\pi\pi$ and $K\bar K$ exchange in the baryon-baryon interaction
| Authors | A. Reuber, K. Holinde, H. -C. Kim, J. Speth |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9511011 |
| URL | https://arxiv.org/abs/nucl-th/9511011 |
| DOI | 10.1016/0375-9474(96)00256-4 |
| Journal | Nucl.Phys. A608 (1996) 243-304 |
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.
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"abstract": "A dynamical model for correlated two-pion and two-kaon exchange in the\nbaryon- baryon interaction is presented, both in the scalar-isoscalar\n($\\sigma$) and the vector-isovector ($\\rho$) channel. The correlations between\nthe two pseudoscalar mesons are taken into account by means of $\\pi\\pi - K\\bar\nK$ amplitudes derived from a meson-exchange model, which is in line with the\nempirical $\\pi\\pi$ data. It is found that correlated $K\\bar K$ exchange plays\nan important role in the $\\sigma$-channel for baryon-baryon states with non-\nvanishing strangeness. The strength of correlated $\\pi\\pi$ plus $K\\bar K$\nexchange in the $\\sigma$-channel decreases with the strangeness of the baryon-\nbaryon system becoming more negative. The results for correlated $\\pi\\pi$-\nexchange in the vector-isovector channel deviate from what is expected in the\nnaive SU(3) picture for genuine $\\rho$-exchange. Shortcomings of a simplified\ndescription in terms of sharp mass $\\sigma$- and $\\rho$-exchange are pointed\nout.",
"arxiv_id": "nucl-th/9511011",
"authors": [
"A. Reuber",
"K. Holinde",
"H. -C. Kim",
"J. Speth"
],
"categories": [
"nucl-th"
],
"doi": "10.1016/0375-9474(96)00256-4",
"journal_ref": "Nucl.Phys. A608 (1996) 243-304",
"title": "Correlated $\\pi\\pi$ and $K\\bar K$ exchange in the baryon-baryon interaction",
"url": "https://arxiv.org/abs/nucl-th/9511011"
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