Probing Axial-Vector Charmonia $\chi_{c1}(1P)$ and $\chi_{c1}(2P)$

TL;DR

This paper uses QCD sum rules to calculate the masses and decay constants of the $ ext{chi}_{c1}(1P)$ and $ ext{chi}_{c1}(2P)$ charmonium states, providing theoretical insights and comparisons with experimental data.

Contribution

It presents the first comprehensive QCD sum rule analysis including condensates up to dimension-8 for these states, improving theoretical predictions.

Findings

Calculated masses and decay constants agree with experimental data.

Provided detailed comparison with existing theoretical models.

Enhanced understanding of heavy quarkonium properties.

Abstract

We investigate the ground-state heavy quarkonium $\chi_{c1}(1P)$ and its first excited state $\chi_{c1}(2P)$ with quantum numbers $J^{PC}=1^{++}$. The masses and decay constants of these charmonium states are computed using two-point QCD sum rule method by including quark, gluon and mixed condensates up to dimension-8. We compare our numerical results with the available experimental data as well as existing theoretical predictions in the literature.