Theoretical study of $f_0(980)$, $a_0(980)$ and $\Xi (1/2^{-})$ in the process ${\Xi }_c^{+}\to {\Sigma }^{+}{K}^{+}{K}^{-}$

Abstract

We employed the chiral unitarity approach to investigate the decay process ${\Xi }_c^{+}\to {\Sigma }^{+}{K}^{+}{K}^{-}$, by considering that the low lying nucleon resonance $\Xi (1/2^{-})$ and the low lying scalar meson $f_0(980)$ and $a_0(980)$ that could be dynamically generated through $S$-wave pseudoscalar meson-octet baryon and the $S$-wave pseudoscalar meson-pseudoscalar meson interactions, respectively. In the invariant mass distributions of ${\Sigma }^{+}{K}^{-}$ and $K^{+}{K}^{-}$, we observe a distinct peak structure associated with the resonant state $\Xi (1/2^{-})$ and a bit enhancement near the $K^{+}{K}^{-}$ threshold that is corresponding to the mesons $f_0(980)$ and $a_0(980)$, respectively. Consequently, we recommend more precise experimental measurements of this process in the future.

Comments: 10 pages, 16 figures