The Breathing Mode in Extended Skyrme Model

Abstract

We study an extended Skyrme model which includes fourth and sixth-order terms. We explore some static properties like the $\Delta$-nucleon mass splitting and investigate the Skyrmion breathing mode in the framework of the linear response theory. We find that the monopole response function has a pronounced peak located at $\sim$ 400 MeV, which we identify to the Roper resonance $N(1440)$. As compared to the standard one, the extended Skyrme model provides a more accurate description of baryon properties.

12 pages of plain Latex and 3 figures (available from the authors), preprint IPNO/TH 93-08

References in corpus (2)

• Response of nucleons to external probes in hedgehog models: I. Electromagnetic polarizabilities
• Response of nucleons to external probes in hedgehog models: II. General formalism

Cited by in corpus (4)

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• Isoscalar NN spin-orbit potential from a Skyrme model with scalar mesons
• On the Skyrme model prediction for the N-N spin-orbit force
• Effective Lagrangian with vector mesons : Linear response theory