Journal article

Weighted finite energy sum rules for the omega meson in nuclear matter


Authors listSteinmueller, Birger; Leupold, Stefan

Publication year2006

Pages195-216

JournalNuclear Physics A: Nuclear and Hadronic Physics

Volume number778

Issue number3-4

ISSN0375-9474

eISSN1873-1554

Open access statusGreen

DOI Linkhttps://doi.org/10.1016/j.nuclphysa.2006.08.007

PublisherElsevier


Abstract
The possible in-medium changes of the properties of an omega meson placed in cold nuclear matter are constrained by QCD sum rules. It is shown that the sum rules cannot fully determine the in-medium spectral shape of the omega meson. However, for a given parameterization the sum rules can constrain or correlate the hadronic parameters. It is shown that weighted finite energy sum rules provide a proper framework to study directly these constraints/correlations. Two typical parameterizations of possible in-medium omega spectra are analyzed, namely (i) a one-peak structure with arbitrary position and width of the peak and (ii) a structure with two (narrow) peaks, caused by the genuine omega meson and a resonance-hole branch. The sum rules provide for case (i) a mass-width correlation and for case (ii) a correlation between the peak heights and the peak position of the omega branch. It is also analyzed how the obtained results depend on the size of the relevant four-quark operator evaluated with respect to a nucleon. Finally it is argued that a strict vector meson dominance scenario is not compatible with the sum rules. (c) 2006 Elsevier B.V. All rights reserved.



Citation Styles

Harvard Citation styleSteinmueller, B. and Leupold, S. (2006) Weighted finite energy sum rules for the omega meson in nuclear matter, Nuclear Physics A: Nuclear and Hadronic Physics, 778(3-4), pp. 195-216. https://doi.org/10.1016/j.nuclphysa.2006.08.007

APA Citation styleSteinmueller, B., & Leupold, S. (2006). Weighted finite energy sum rules for the omega meson in nuclear matter. Nuclear Physics A: Nuclear and Hadronic Physics. 778(3-4), 195-216. https://doi.org/10.1016/j.nuclphysa.2006.08.007



Keywords


CONSTRAINTSHADRONIC SPECTRAL FUNCTIONSmeson propertiesNuclear matterQCDQCD sum rulesRESONANCE PHYSICSRHO-MESONVECTOR-MESONS

Last updated on 2025-10-06 at 09:39