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

TL;DR

This paper uses a chiral unitarity approach to theoretically analyze the decay of $\\Xi_c^+$ into $\\Sigma^+K^+K^-$, revealing resonance structures related to $\\Xi(1/2^-)$, $f_0(980)$, and $a_0(980)$, and suggests future experimental verification.

Contribution

It provides a theoretical prediction of resonance structures in the decay process using chiral unitarity, highlighting dynamically generated states and guiding future experiments.

Findings

Distinct peak associated with $\\Xi(1/2^-)$ resonance.

Enhancement near $K^+K^-$ threshold due to $f_0(980)$ and $a_0(980)$.

Recommendations for more precise experimental measurements.

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.