Abstract

In this talk, we report our recent work on the pion weak decay constant (Fπ) and pion mass (mπ) using the nonlocal chiral quark model with the finite quark-number chemical potential (μ) taken into account. Considering the breakdown of Lorentz invariance at finite density, the time and space components are computed separately, and the corresponding results turn out to be: [Formula: see text] and [Formula: see text] at μc ≈ 320 MeV , respectively. Using the in-medium Gell-Mann-Oakes-Renner (GOR) relation, we show that the pion mass increases by about 15% at μc.

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