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

Understand

We investigate modifications of mass and decay width of $N^*(1535)$ in nuclear matter in a chiral symmetric way.

• The nucleon and $N^*(1535)$ are introduced by a parity doublet model, and nuclear matter is constructed by one-loop diagrams of the nucleon and $N^*(1535)$.
• The decay width of $N^*(1535)$ is studied respecting chiral symmetry.
• Our calculations show that the partial width of $\Gamma_{N^*\to N\pi}$ is slightly broadened by a collisional broadening, and that of $\Gamma_{N^*\to N\eta}$ is drastically suppressed at density.