Isospin mode splitting and mixing in asymmetric nuclear matter

Abstract

We estimate exclusive density and asymmetry parameter dependent dispersion relations of various charged states of pions in asymmetric nuclear matter. The possibility of matter induced mixing of ${\pi }^0$ with $\eta$ is clearly exposed with the further mass modification of ${\pi }^0$ meson due to mixing. Asymmetry driven mass splitting and mixing amplitude are of the same order as the corresponding values in vacuum. Closed form analytic results for the mass shifts and dispersion relations with and without mixing are presented. Furthermore, we discuss the sensitivity of our results on the scalar mean field within the framework of Quantum Hadrodynamics.

8 pages, 4 Figures

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Cited by in corpus (5)

• Pionic dispersion relations in the presence of a weak magnetic field
• Matter induced charge symmetry breaking and pion form factor in nuclear medium
• Effects of Dirac sea on pion propagation in asymmetric nuclear matter
• Matter induced charge symmetry violating NN potential
• $\pi$-$\eta$ mixing and charge symmetry violating NN potential in matter