$χ_{c2}$ tensor meson transition form factors in the light front approach
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866910339051814912 |
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| author | Babiarz, Izabela Pasechnik, Roman Schäfer, Wolfgang Szczurek, Antoni |
| author_facet | Babiarz, Izabela Pasechnik, Roman Schäfer, Wolfgang Szczurek, Antoni |
| contents | We continue our work on the light-front formulation of quarkonium $γ^* γ$ transition form factors, extending the formalism to $J^{PC} = 2^{++}$ tensor meson states. We present an analysis of $γ^* γ\to χ_{c2}$ 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 $γ^* γ$ 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 $Γ(λ= 0)/Γ(λ= 2)\sim10^{-3}$ 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_13910 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | $χ_{c2}$ tensor meson transition form factors in the light front approach Babiarz, Izabela Pasechnik, Roman Schäfer, Wolfgang Szczurek, Antoni High Energy Physics - Phenomenology We continue our work on the light-front formulation of quarkonium $γ^* γ$ transition form factors, extending the formalism to $J^{PC} = 2^{++}$ tensor meson states. We present an analysis of $γ^* γ\to χ_{c2}$ 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 $γ^* γ$ 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 $Γ(λ= 0)/Γ(λ= 2)\sim10^{-3}$ 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. |
| title | $χ_{c2}$ tensor meson transition form factors in the light front approach |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2402.13910 |