dorsal/arxiv
View SchemaConstraints on vector mesons with finite momentum in nuclear matter
| Authors | Bengt Friman, Su Houng Lee, Hungchong Kim |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9903067 |
| URL | https://arxiv.org/abs/nucl-th/9903067 |
| DOI | 10.1016/S0375-9474(99)00171-2 |
| Journal | Nucl.Phys. A653 (1999) 91-111 |
Abstract
Using the QCD operator product expansion, we derive the real part of the transverse and longitudinal vector-vector correlation function with the quantum numbers of the rho and omega mesons to leading order in density and three momentum (q^2) for energy $\omega^2 --> -\infty $. The operator product expansion provides, through the Borel transformed energy dispersion relation, a model independent constraint for the momentum dependence of the vector meson spectral density in nuclear matter. Existing model calculations for the dispersion effect of the rho meson, where the vector-meson nucleon scattering amplitude is obtained by resonance saturation in the s-channel, in general violate this constraint. We trace this to an inconsistent choice for the form factor of the $\Delta N\rho$ vertex. With a consistent choice, where both the form factor and the coupling constant are obtained from the Bonn potential, the contribution of the $\Delta$ is substantially reduced and we find good agreement with the constraint equation. We briefly comment on the implications of our result for attempts to interpret the enhancement of low-mass dileptons in heavy-ion collisions.
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"abstract": "Using the QCD operator product expansion, we derive the real part of the\ntransverse and longitudinal vector-vector correlation function with the quantum\nnumbers of the rho and omega mesons to leading order in density and three\nmomentum (q^2) for energy $\\omega^2 --\u003e -\\infty $. The operator product\nexpansion provides, through the Borel transformed energy dispersion relation, a\nmodel independent constraint for the momentum dependence of the vector meson\nspectral density in nuclear matter. Existing model calculations for the\ndispersion effect of the rho meson, where the vector-meson nucleon scattering\namplitude is obtained by resonance saturation in the s-channel, in general\nviolate this constraint. We trace this to an inconsistent choice for the form\nfactor of the $\\Delta N\\rho$ vertex. With a consistent choice, where both the\nform factor and the coupling constant are obtained from the Bonn potential, the\ncontribution of the $\\Delta$ is substantially reduced and we find good\nagreement with the constraint equation. We briefly comment on the implications\nof our result for attempts to interpret the enhancement of low-mass dileptons\nin heavy-ion collisions.",
"arxiv_id": "nucl-th/9903067",
"authors": [
"Bengt Friman",
"Su Houng Lee",
"Hungchong Kim"
],
"categories": [
"nucl-th",
"hep-ph"
],
"doi": "10.1016/S0375-9474(99)00171-2",
"journal_ref": "Nucl.Phys. A653 (1999) 91-111",
"title": "Constraints on vector mesons with finite momentum in nuclear matter",
"url": "https://arxiv.org/abs/nucl-th/9903067"
},
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