Effective Theory Approach to the Skyrme model and Application to Pentaquarks

Abstract

The Skyrme model is reconsidered from an effective theory point of view. From the most general chiral Lagrangian up to including terms of order $p^4$, $N_c$ and $\delta m^2$ ($\delta m\equiv m_s-m$), new interactions, which have never been considered before, appear upon collective coordinate quantization. We obtain the parameter set best fitted to the observed low-lying baryon masses, by performing the second order perturbative calculations with respect to $\delta m$. We calculate the masses and the decay widths of the other members of (mainly) anti-decuplet pentaquark states. The formula for the decay widths is reconsidered and its baryon mass dependence is clarified.

arXiv comment65 pages, 1 figure. Revised version:the complete second order perturbative calculations performed and two appendices added

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Cited by in corpus (3)

• A dynamical study of the pentaquark Theta+ state
• Theta pentaquark In Multiquark Theories
• The Skyrme Model Revisited: An Effective Theory Approach and Application to the Pentaquarks