The optical model potential of the $Σ$ hyperon in nuclear matter

Physics – Nuclear Physics – Nuclear Theory

Scientific paper

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Presented at the XXXI Mazurian Lakes Conference on Physics, Piaski, Poland, August 30-September. 5, 2009}

Scientific paper

We present our attempts to determine the optical model potential $U_\Sigma = V_\Sigma -iW_\Sigma$ of the $\Sigma$ hyperon in nuclear matter. We analyze the following sources of information on $U_\Sigma$: $\Sigma N$ scattering, $\Sigma^-$ atoms, and final state interaction of $\Sigma$ hyperons in the $(\pi,K^+)$ and $(K^-.\pi)$ reactions on nuclear targets. We conclude that $V_\Sigma$ is repulsive inside the nucleus and has a shallow a tractive pocket at the nuclear surface. These features of $V_\Sigma$ are consistent with the Nijmegen model F of the hyperon-nucleon interaction.

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