Rho meson properties in the Nambu-Jona-Lasinio model

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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21 pages Latex, 4 figures, to be published in Z. Phys. A

Scientific paper

10.1007/s002180050249

Some properties of the rho vector meson are calculated within the Nambu-Jona-Lasinio model, including processes that go beyond the random phase approximation. To classify the higher order contributions, we adopt $1/N_c$ as expansion parameter. In particular, we evaluate the leading order contributions to the $\rho \rightarrow \pi \pi$ decay width, obtaining the value $\Gamma = 118$ MeV, and to the shift of the rho mass which turns out to be lowered by 64 MeV with respect to its RPA value. A set of model parameters is determined accordingly.

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