Examination of $N^{\ast }(1535)$ as a probe to observe the partial restoration of chiral symmetry in nuclear matter

Abstract

We investigate modifications of mass and decay width of $N^{\ast }(1535)$ in nuclear matter in a chiral symmetric way. The nucleon and $N^{\ast }(1535)$ are introduced by a parity doublet model, and nuclear matter is constructed by one-loop diagrams of the nucleon and $N^{\ast }(1535)$. The decay width of $N^{\ast }(1535)$ is studied respecting chiral symmetry. Our calculations show that the partial width of ${\Gamma }_{N^{\ast }\to N\pi }$ is slightly broadened by a collisional broadening, and that of ${\Gamma }_{N^{\ast }\to N\eta }$ is drastically suppressed at density. As a result, the total decay width ${\Gamma }_{\mathrm{tot}}$ gets small at density. These modifications, especially the drastic narrowing of partial width of ${\Gamma }_{N^{\ast }\to N\eta }$, together with the dropping of mass of $N^{\ast }(1535)$ provide experiments for observing the partial restoration of chiral symmetry in nuclear matter by means of $N^{\ast }(1535)$ resonance with useful information.

16 pages, 13 figures

References in corpus (6)

• Nucleons and parity doubling across the deconfinement transition
• Level crossing of particle-hole and mesonic modes in eta mesic nuclei
• Formation of eta-mesic nuclei by (pi,N) reaction and N^*(1535) in medium
• Mass degeneracy of the heavy-light mesons with chiral partner structure in the half-skyrmion phase
• Spectral functions for $\bar{D}$ meson and ${\bar{D}}_0^{\ast }$ meson in nuclear matter with partial restoration of chiral symmetry
• Relation between the mass modification of the heavy-light mesons and the chiral symmetry structure in dense matter

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