Rare semileptonic decay of $\chi_{c1}(1p)$ meson In QCD

TL;DR

This paper calculates the transition form factors, decay width, and branching ratio of the rare semileptonic decay of the $ ext{chi}_{c1}(1p)$ meson using QCD sum rules, providing predictions for future experimental verification.

Contribution

It introduces a QCD sum rule approach to evaluate the decay properties of the $ ext{chi}_{c1}(1p)$ meson, including two-gluon condensate effects, which are novel in this context.

Findings

Calculated transition form factors for the decay.

Estimated decay width and branching ratio.

Predictions await experimental confirmation.

Abstract

The rare semileptonic $\chi_{c1}(1p)\rightarrow D_{s}^{+}e\bar{\nu }$ decay is analyzed, by using the three-point QCD sum rules. Taking into account the two-gluon condensate contributions, the transition form factors related to this decay are calculated and are used to determine the total decay width and branching fraction. Our findings may be approved by future experiments.