Energy-weighted sum rules for mesons in hot and dense matter
- Departamento de Fisica Teorica II, Universidad Complutense, 28040 Madrid (Spain)
- Departament d'Estructura i Constituents de la Materia, Universitat de Barcelona, Diagonal 647, 08028 Barcelona (Spain)
- Theory Group, KVI, University of Groningen, Zernikelaan 25, 9747 AA Groningen (Netherlands)
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 K mesons are obtained from a chiral unitary approach in coupled channels that 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 quasiparticle 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.
- OSTI ID:
- 21293974
- Journal Information:
- Physical Review. C, Nuclear Physics, Vol. 80, Issue 4; Other Information: DOI: 10.1103/PhysRevC.80.045201; (c) 2009 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2813
- Country of Publication:
- United States
- Language:
- English
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