Constraints on vector mesons with finite momentum in nuclear matter

Bengt Friman, Su Houng Lee, Hungchong Kim

Research output: Contribution to journalArticle

14 Citations (Scopus)

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 ρ and ω mesons to leading order in density and three-momentum (q2) for ω2 → -∞. 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 ρ, 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 ΔNρ vertex. With a consistent choice, where both the form factor and the coupling constant are obtained from the Bonn potential, the contribution of the Δ 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.

Original languageEnglish
Pages (from-to)91-111
Number of pages21
JournalNuclear Physics A
Volume653
Issue number1
DOIs
Publication statusPublished - 1999 Jun 28

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vector mesons
momentum
form factors
operators
expansion
products
ionic collisions
scattering amplitude
quantum numbers
apexes
mesons
quantum chromodynamics
saturation
augmentation
energy

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics

Cite this

Friman, Bengt ; Lee, Su Houng ; Kim, Hungchong. / Constraints on vector mesons with finite momentum in nuclear matter. In: Nuclear Physics A. 1999 ; Vol. 653, No. 1. pp. 91-111.
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Constraints on vector mesons with finite momentum in nuclear matter. / Friman, Bengt; Lee, Su Houng; Kim, Hungchong.

In: Nuclear Physics A, Vol. 653, No. 1, 28.06.1999, p. 91-111.

Research output: Contribution to journalArticle

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AB - 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 ρ and ω mesons to leading order in density and three-momentum (q2) for ω2 → -∞. 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 ρ, 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 ΔNρ vertex. With a consistent choice, where both the form factor and the coupling constant are obtained from the Bonn potential, the contribution of the Δ 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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