Effective Lagrangian with vector mesons : Linear response theory

Abstract

The soliton breathing mode is investigated in the framework of linear response theory within a Skyrme model vector meson stabilized. The effective Lagrangian considered includes the $\rho$ (introduced following the standard prescription of nonlinear chiral symmetry) and the $\omega$ mesons. The monopole response function is found to have a pronounced peak which is identified to the $P11$ (Roper) resonance. The results are compared to those obtained within the local approximation.Comment: 8 pages of plain Latex and 2 figures (available from the author), preprint LPN 93-12 and IPNO/TH 93-4