Probing scalar meson structures in $\chi_{c1}$ decays into pseudoscalar and scalar

TL;DR

This paper investigates the decay of $oldsymbol{ ext{chi}_{c1}}$ into pseudoscalar and scalar mesons using a quark model, aiming to understand scalar meson structures and test their mixing relations through decay branching ratios.

Contribution

It provides a theoretical evaluation of decay branching ratios sensitive to scalar meson quark components, offering insights into scalar meson mixing schemes.

Findings

Decay ratios are sensitive to scalar meson quark content.

The decay process can test mixing relations among scalar mesons.

Predictions can guide experimental investigations.

Abstract

We evaluate the decay branching ratios of $\chi_{c1}\to PS$, in a quark model parametrization scheme, where $P$ and $S$ stand for pseudoscalar and scalar meson, respectively. An interesting feature of this decay process is that the $c\bar{c}$ annihilate via the pQCD hair-pin diagram is supposed to be dominant. Hence, this decay process should be sensitive to the quark components of the final-state light mesons, and would provide a great opportunity for testing the mixing relations among the scalar mesons, i.e. $f_0(1370)$, $f_0(1500)$ and $f_0(1710)$, by tagging the final state pseudoscalar mesons.