dorsal/arxiv
View SchemaQCD sum rules at finite density in the large-N_c limit: The coupling of the rho-nucleon system to the D_{13}(1520)
| Authors | Stefan Leupold, Marcus Post |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0402048 |
| URL | https://arxiv.org/abs/nucl-th/0402048 |
| DOI | 10.1016/j.nuclphysa.2004.10.011 |
| Journal | Nucl.Phys. A747 (2005) 425-447 |
Abstract
QCD sum rules are studied for the vector-isovector current at finite baryon density in the limit of large number of colors N_c. For the condensate side it is shown that in this limit the four-quark condensate factorizes also for the finite density case. At the hadronic side the medium dependence is expressed in terms of the current-nucleon forward scattering amplitude. Generalizing vector meson dominance we allow for a direct coupling of the current to the nucleon as well as a coupling via the rho meson. We discuss the N_c dependence of (a) modifications of the pion cloud of the rho meson, (b) mixing with other mesons (in particular a_1 and omega) and (c) resonance-hole excitations R N^{-1}. We show that only the last effect survives in the large-N_c limit. Saturating the sum rules with a simple hadronic ansatz which allows for the excitation of the D_{13}(1520) we determine the coupling of the latter to the rho-nucleon and the photon-nucleon system. These couplings are hard to determine from vacuum physics alone.
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"abstract": "QCD sum rules are studied for the vector-isovector current at finite baryon\ndensity in the limit of large number of colors N_c. For the condensate side it\nis shown that in this limit the four-quark condensate factorizes also for the\nfinite density case. At the hadronic side the medium dependence is expressed in\nterms of the current-nucleon forward scattering amplitude. Generalizing vector\nmeson dominance we allow for a direct coupling of the current to the nucleon as\nwell as a coupling via the rho meson. We discuss the N_c dependence of (a)\nmodifications of the pion cloud of the rho meson, (b) mixing with other mesons\n(in particular a_1 and omega) and (c) resonance-hole excitations R N^{-1}. We\nshow that only the last effect survives in the large-N_c limit. Saturating the\nsum rules with a simple hadronic ansatz which allows for the excitation of the\nD_{13}(1520) we determine the coupling of the latter to the rho-nucleon and the\nphoton-nucleon system. These couplings are hard to determine from vacuum\nphysics alone.",
"arxiv_id": "nucl-th/0402048",
"authors": [
"Stefan Leupold",
"Marcus Post"
],
"categories": [
"nucl-th"
],
"doi": "10.1016/j.nuclphysa.2004.10.011",
"journal_ref": "Nucl.Phys. A747 (2005) 425-447",
"title": "QCD sum rules at finite density in the large-N_c limit: The coupling of the rho-nucleon system to the D_{13}(1520)",
"url": "https://arxiv.org/abs/nucl-th/0402048"
},
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