K$^-$-proton scattering and the $Λ(1405)$ in dense matter

Details K$^-$-proton scattering and the $Λ(1405)$ in dense matter K$^-$-proton scattering and the $Λ(1405)$ in dense matter

1994-06-25

arxiv.org/abs/nucl-th/9406030v1

Phys.Lett. B337 (1994) 7-13

Physics

Nuclear Physics

Nuclear Theory

12 pages 5 figures, SUNY-NTG-94-27

Scientific paper

10.1016/0370-2693(94)91434-6

The scattering of antikaons with nucleons is studied in the nuclear environment. Describing the $\lam$ as a $K^-$ proton bound state, we find, that due to the Pauli blocking of intermediate states, the mass of the $\Lambda (1405)$ is shifted upwards in energy, above the $K^-$ proton threshold and and its width is somewhat broadened. As a consequence the s-wave $K^-$--nucleon scattering length turns attractive at finite nucleon density ($\rho \geq 0.25 \rho_0$) leading to a mean field potential for the $K^-$ of about $\sim -100 \, \rm MeV$ in nuclear matter at ground state density. Consequences for Heavy Ion collisions and possible experimental checks for the structure of the $\lam$ are discussed. (Figures will be sent on request)

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