Theoretical study of the $N(1535)$ in the process ${\Lambda }_c^{+}\to n{\pi }^{+}{\pi }^0$

Abstract

We have investigated the ${\Lambda }_c^{+}\to n{\pi }^{+}{\pi }^0$ decay process using the chiral unitary approach, by considering that the nucleon resonance $N(1535)$ could be dynamically generated through $S$-wave pseudoscalar meson-octet baryon interactions. In the invariant mass distributions of ${\pi }^{0}n$ and ${\pi }^{+}n$, we observe a distinct peak structure associated with the resonance states $N(1535{)}^0$ and $N(1535{)}^{+}$, respectively. Our results suggest that the ${\Lambda }_c^{+}\to n{\pi }^{+}{\pi }^0$ process can be utilized to probe the properties of the nucleon $N(1535)$, and therefore, we encourage more precise experimental measurements of this process in the future.

9 pages, 14 figures