Bibliographic Details
| Title: |
$\chi_{c2}$ tensor meson transition form factors in the light front approach |
| Authors: |
Babiarz, Izabela, Pasechnik, Roman, Schäfer, Wolfgang, Szczurek, Antoni |
| Publication Year: |
2024 |
| Collection: |
High Energy Physics - Phenomenology |
| Subject Terms: |
High Energy Physics - Phenomenology |
| More Details: |
We continue our work on the light-front formulation of quarkonium $\gamma^* \gamma$ transition form factors, extending the formalism to $J^{PC} = 2^{++}$ tensor meson states. We present an analysis of $\gamma^* \gamma \to \chi_{c2}$ transition amplitude and the pertinent helicity form factors. Our relativistic formalism is based on the light-front quark-antiquark wave function of the quarkonium. We calculate the two-photon decay width as well as three independent $\gamma^* \gamma$ transition form factors for $J_z = 0,1,2$ as a function of photon virtuality $Q^2$. We compare our results for the two-photon decay width to the recently measured ones by the Belle and BES III collaborations. Even when including relativistic corrections, a very small $\Gamma(\lambda = 0)/\Gamma(\lambda = 2)\sim10^{-3}$ ratio is found which is beyond present experimental precision. We also present the form factors as a function of photon virtuality and compare them to the sparse experimental data on the so-called off-shell width. The formalism presented here can be used for other $2^{++}$ mesons, excited charmonia or bottomonia or even light $q \bar q$-mesons.
Comment: 19 pages, 4 figures, 3 tables |
| Document Type: |
Working Paper |
| Access URL: |
http://arxiv.org/abs/2402.13910 |
| Accession Number: |
edsarx.2402.13910 |
| Database: |
arXiv |
