PCAC in Nuclear Medium and the Lovelace-Shapiro-Veneziano formula

Abstract

A simple way to enforce the Adler zero condition for pion amplitudes in the nuclear medium is to use the Lovelace quantization condition but with modified Regge Slope $\alpha'$ This latter is related to change in the gluon condensate. Increasing nuclear density leads to a relative increase in the Regge Slope $\alpha'$ Denoting this increase by a scale factor $\lambda$, the drop in the $\rho$-mass, $\Delta-N$ mass difference, increase in $\pi\pi$ scattering length, decrease of pion decay constant etc. are simply related to $\lambda$.