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# In-medium pion dispersion relation, $N\pi\to \Delta$ cross section and $\Delta \to N \pi$ decay width in asymmetric nuclear matter

## Abstract

The pion dispersion relation, in-medium $N\pi\to \Delta$ cross section and $\Delta \to N \pi$ decay width are investigated in isospin asymmetric nuclear matter by using the same relativistic interaction within the framework of one-boson-exchange model. With the consideration of the energy conservation effect, the in-medium $N\pi\to\Delta$ cross sections are reduced near the low energy ($s^{1/2}<1.25$ GeV) and enhanced in the high energy region ($s^{1/2}>1.25$ GeV) in symmetric nuclear matter. The in-medium correction factors are different for different channels in asymmetric nuclear matter. It could result a higher pion multiplicity and higher $\pi^-/\pi^+$ ratios in the transport model simulations than the calculations without considering the in-medium effects, if other terms remain unchanged. Our study hints a systematically study on the pion production mechanism in heavy ion collisions are urged and it could be useful for understanding the in-medium effects of pioins.Comment: 14pages, 15figure

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This paper was published in arXiv.org e-Print Archive.

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