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Effect of σ-ω-γ mixing on the dimesonic function in nuclear matter

Liang-gang Liu, Qifa Zhou, and Tianshu Lai

  • Department of Physics, Zhongshan University, Guangzhou 510275, People’s Republic of China

Phys. Rev. C 51, R2302(R) – Published 1 May, 1995

DOI: https://doi.org/10.1103/PhysRevC.51.R2302

Abstract

The σ-ω mixing in nuclear matter is extended to include the electromagnetic interaction between protons by mixing the photon propagator with the σ,ω propagators. The total dimesonic function, including the electromagnetic interaction is derived and its real and imaginary parts as well as the dispersion relation are calculated numerically. We find that the electromagnetic interaction has a very large effect on the real part of the dimesonic function for low momentum transfer and zero energy (or zero frequency). The imaginary part of the dimesonic function shows a resonant behavior as a function of energy for fixed momentum, where the point of the negative minimum is verified to correspond to the point in the acoustic sound spectra of the collective excitation. The dispersion relation at normal nuclear matter density indicates the existence of a completely damped acoustic sound collective excitation.

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