Inmedium {omega} meson mass and quark condensate in a NambuJonaLasinio model constrained by recent experimental data
Abstract
We have determined the relation between the inmedium {omega} meson mass and quark condensate in the framework of a NambuJonaLasinio model constrained by some recent experimental data on the meson properties in nuclei. In addition to the usual fourquark interactions, we have included eightquark terms in the Lagrangian. The parameters of this model have been determined using the meson properties in the vacuum as well as in the medium. More particularly, we have constrained both the inmedium pion decay constant to the value measured in experiments on deeply bound pionic atoms and the inmedium {omega} meson mass to the experimental value obtained either by the TAPS collaboration or by the E325 experiment at KEK Proton Synchrotron. Our results are compared to several scaling laws and in particular to that of G. E. Brown and M. Rho [(Phys. Rep. 398, 301 (2004)].
 Authors:
 Universite Bordeaux 1, CNRS/IN2P3, Centre d'Etudes Nucleaires de BordeauxGradignan, UMR 5797 Chemin du Solarium, BP120, 33175 Gradignan (France)
 Publication Date:
 OSTI Identifier:
 20995250
 Resource Type:
 Journal Article
 Resource Relation:
 Journal Name: Physical Review. C, Nuclear Physics; Journal Volume: 75; Journal Issue: 4; Other Information: DOI: 10.1103/PhysRevC.75.048201; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; BAG MODEL; COLOR MODEL; DECAY; INTERACTIONS; JAPANESE ORGANIZATIONS; LAGRANGIAN FUNCTION; MASS; NUCLEAR MATTER; NUCLEI; OMEGA BARYONS; PIONIC ATOMS; PIONS; PROTONS; QUARK CONDENSATION; QUARKS; SYNCHROTRONS
Citation Formats
Huguet, R., Caillon, J. C., and Labarsouque, J. Inmedium {omega} meson mass and quark condensate in a NambuJonaLasinio model constrained by recent experimental data. United States: N. p., 2007.
Web. doi:10.1103/PHYSREVC.75.048201.
Huguet, R., Caillon, J. C., & Labarsouque, J. Inmedium {omega} meson mass and quark condensate in a NambuJonaLasinio model constrained by recent experimental data. United States. doi:10.1103/PHYSREVC.75.048201.
Huguet, R., Caillon, J. C., and Labarsouque, J. Sun .
"Inmedium {omega} meson mass and quark condensate in a NambuJonaLasinio model constrained by recent experimental data". United States.
doi:10.1103/PHYSREVC.75.048201.
@article{osti_20995250,
title = {Inmedium {omega} meson mass and quark condensate in a NambuJonaLasinio model constrained by recent experimental data},
author = {Huguet, R. and Caillon, J. C. and Labarsouque, J.},
abstractNote = {We have determined the relation between the inmedium {omega} meson mass and quark condensate in the framework of a NambuJonaLasinio model constrained by some recent experimental data on the meson properties in nuclei. In addition to the usual fourquark interactions, we have included eightquark terms in the Lagrangian. The parameters of this model have been determined using the meson properties in the vacuum as well as in the medium. More particularly, we have constrained both the inmedium pion decay constant to the value measured in experiments on deeply bound pionic atoms and the inmedium {omega} meson mass to the experimental value obtained either by the TAPS collaboration or by the E325 experiment at KEK Proton Synchrotron. Our results are compared to several scaling laws and in particular to that of G. E. Brown and M. Rho [(Phys. Rep. 398, 301 (2004)].},
doi = {10.1103/PHYSREVC.75.048201},
journal = {Physical Review. C, Nuclear Physics},
number = 4,
volume = 75,
place = {United States},
year = {Sun Apr 15 00:00:00 EDT 2007},
month = {Sun Apr 15 00:00:00 EDT 2007}
}

The branching ratios and photon spectra of the rare processes {rho}({omega}) {sup {yields} {pi}0{pi}0{gamma}}, {rho}({omega}) {sup {yields} {eta}{pi}0{gamma}} are calculated in the framework of the standard local quark NambuJonaLasinio model. Three types of diagrams are considered: the quark box and the pole diagrams with scalar ({sigma}, {alpha}{sub 0}(980)) and vector ({rho}, {omega}) mesons. The obtained estimates for the widths of the processes {rho}({omega}) {sup {yields} {pi}0{pi}0{gamma}} are in satisfactory agreement with existing experimental data. Predictions are made for the widths of the processes {rho}({omega}) {sup {yields} {eta}{pi}0{gamma}}.

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