Pion parameters in nuclear medium from chiral perturbation theory and virial expansion

Abstract

We consider two methods to find the effective parameters of the pion traversing a nuclear medium. One is the first order chiral perturbation theoretic evaluation of the pion pole contribution to the two-point function of the axial-vector current. The other is the exact, first order virial expansion of the pion self-energy. We find that, although the results of chiral perturbation theory are not valid at normal nuclear density, those from the virial expansion may be reliable at such density. The latter predicts both the mass-shift and the in-medium decay width of the pion to be small, of about a few MeV.

9 Pages RevTex, 3 eps figures

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Cited by in corpus (5)

• Pion structure in the nuclear medium
• Pion weak decay constant at finite density from the instanton vacuum
• QCD sum rule for nucleon in nuclear matter
• The Calculation of $f_{\pi }$ and $m_{\pi }$ at Finite Chemical Potential
• Impact of Nucleon Mass Shift on the Freeze Out Process