Strange mesons from SIS to FAIR

Abstract

The properties of $K$ and $\bar{K}$ mesons in nuclear matter at finite temperature are obtained from a chiral unitary approach in coupled channels which incorporates the $s$- and p-waves of the kaon-nucleon interaction. The in-medium solution accounts for Pauli blocking effects, mean-field binding on all the baryons involved, and $\pi$ and kaon self-energies. The $\bar{K}$ spectral function spreads over a wide range of energies, reflecting the melting of the $\Lambda (1405)$ resonance and the contribution of hyperon-hole components at finite temperature. In the $KN$ sector, the quasi-particle peak is considerably broadened with increasing density and temperature. We also study the energy weighted sum rules of the kaon propagator by matching the Dyson form of the propagator with its spectral Lehmann representation at low and high energies. The sum rules for the lower energy weights are fulfilled satisfactorily and reflect the contributions from the different quasi-particle and collective modes of the spectral function. We analyze the sensitivity of the sum rules to the distribution of spectral strength and their usefulness as quality tests of model calculations.

4 pages, 3 figures, to appear in the proceedings of 10th International Conference on Hypernuclear and Strange Particle Physics (Hyp X), September 14th - 18th, 2009, Tokai, Ibaraki, Japan

References in corpus (9)

• Kaon production in heavy ion reactions at intermediate energies
• In-medium nuclear interactions of low-energy hadrons
• Faddeev calculation of a $K^{-}pp$ quasi-bound state
• Strange dibaryon resonance in the anti-KNN--piYN system
• $K^{-}pp$ system with chiral SU(3) effective interaction
• Chiral approach to antikaon s- and p-wave interactions in dense nuclear matter
• Strange mesons in nuclear matter at finite temperature
• Antikaons and hyperons in nuclear matter with saturation
• Energy weighted sum rules for mesons in hot and dense matter