Energy weighted sum rules for mesons in hot and dense matter

Abstract

We study energy weighted sum rules of the pion and kaon propagator in nuclear matter at finite temperature. The sum rules are obtained from matching the Dyson form of the meson propagator with its spectral Lehmann representation at low and high energies. We calculate the sum rules for specific models of the kaon and pion self-energy. The in-medium spectral densities of the K and anti-K mesons are obtained from a chiral unitary approach in coupled channels which incorporates the S- and P-waves of the kaon-nucleon interaction. The pion self-energy is determined from the P-wave coupling to particle-hole and Delta-hole excitations, modified by short range correlations. 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 meson spectral function. We discuss the sensitivity of the sum rules to the distribution of spectral strength and their usefulness as quality tests of model calculations.

19 pages, 6 figures; one figure added, enhanced discussion, version to appear in PRC

References in corpus (4)

• Kaon production in heavy ion reactions at intermediate energies
• In-medium nuclear interactions of low-energy hadrons
• Chiral approach to antikaon s- and p-wave interactions in dense nuclear matter
• Strange mesons in nuclear matter at finite temperature

Cited by in corpus (9)

• Recent Progress in QCD Condensate Evaluations and Sum Rules
• The properties of D and D* mesons in the nuclear medium
• Deuteron transverse densities in holographic QCD
• The width of the omega meson in the nuclear medium
• Nucleon to $\Delta$ transition form factors and empirical transverse charge densities
• Strange meson production at high density and temperature
• Strangeness and Charm in Nuclear Matter
• Strange mesons from SIS to FAIR
• Strange mesons in nuclei and neutron stars