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The Nuclear Sigma Term in the Skyrme Model: Pion-Nucleus Interaction

arXiv:nucl-th/9802085 · doi:10.1103/PhysRevC.57.2830

Abstract

The nuclear sigma term is calculated including the nuclear matrix element of the derivative of the NN interaction with respect to the quark mass, $m_q\frac{\partial V_{NN}}{\partial m_q}$. The NN potential is evaluated in the skyrmion-skyrmion picture within the quantized product ansatz. The contribution of the NN potential to the nuclear sigma term provides repulsion to the pion-nucleus interaction. The strength of the s-wave pion-nucleus optical potential is estimated including such contribution. The results are consistent with the analysis of the experimental data.

16 pages (latex), 3 figures (eps), e-mail: gammal@if.usp.br and tobias@ita.cta.br