Analyticity constraints on the in-medium spectrum of mesons

Journal Article · Mon May 23 00:00:00 EDT 2011 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.3575107· OSTI ID:21516958

Cabrera, D ^[1]; Polls, A; Ramos, A ^[2]; Tolos, L ^[3]

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1. Departamento de Fisica Teorica II, Universidad Complutense, 28040 Madrid (Spain)
2. Departament d'Estructura i Constituents de la Materia, Universitat de Barcelona, Diagonal 647, 08028 Barcelona (Spain)
3. Theory Group. KVI. University of Groningen, Zernikelaan 25, 9747 AA Groningen (Netherlands)

Analyticity constraints in the form of energy weighted sum rules for the spectral function of mesons are derived, both in cold nuclear matter and at finite temperature, by matching the Dyson propagator with its spectral Lehmann representation at low and high energies. We illustrate our results by calculating the sum rules for specific models of the kaon and pion self-energy in a nuclear medium. We find satisfactory results from the lower energy weight sum rules, which reflect the contributions from the different quasi-particle and collective modes of the meson spectral function, and show examples of the sensitivity of the sum rules to model approximations. Finally, we discuss applications in asymmetric nuclear matter and in the study of the spectral properties of vector mesons.

• OSTI ID: 21516958
• Journal Information: AIP Conference Proceedings, Vol. 1343, Issue 1; Conference: QCHS 9: 9. international conference on quark confinement and the hadron spectrum, Madrid (Spain), 30 Aug - 3 Sep 2010; Other Information: DOI: 10.1063/1.3575107; (c) 2011 American Institute of Physics; ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
APPROXIMATIONS
ASYMMETRY
CHIRAL SYMMETRY
FIELD THEORIES
KAONS
NUCLEAR MATTER
NUCLEON-NUCLEON INTERACTIONS
PIONS
PROPAGATOR
QUASI PARTICLES
RESONANCE
SELF-ENERGY
SENSITIVITY
SPECTRA
SPECTRAL FUNCTIONS
SUM RULES
VECTOR MESONS
BARYON-BARYON INTERACTIONS
BOSONS
CALCULATION METHODS
ELEMENTARY PARTICLES
ENERGY
EQUATIONS
FUNCTIONS
HADRON-HADRON INTERACTIONS
HADRONS
INTERACTIONS
MATTER
MESONS
PARTICLE INTERACTIONS
PSEUDOSCALAR MESONS
STRANGE MESONS
STRANGE PARTICLES
SYMMETRY