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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2405.02645 |
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| _version_ | 1866910435041607680 |
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| author | Sobrinho, F. C. Abreu, L. M. Bertulani, C. A. Navarra, F. S. |
| author_facet | Sobrinho, F. C. Abreu, L. M. Bertulani, C. A. Navarra, F. S. |
| contents | In this work we present a calculation of exotic charmonium production in ultra-peripheral collisions, in which the exotic state is explicitly treated as a meson molecule. Our formalism is general but we focus on the lightest possible exotic charmonium state: a $D^+ D^-$ molecular bound state. It was proposed some time ago and it has been object of experimental searches. Here we study the production of the open charm pair in the process $γγ\to D^+ D^-$. Then we use a prescription to project the free pair $ |D^+ D^- \rangle$ onto a bound state at the amplitude level and compute the cross section of the process $γγ\to B$ (where $B$ is the bound state). Finally, we convolute this last cross section with the equivalent photon distributions coming from the projectile and target in an ultra-peripheral collision and find the $A A \to A A B$ cross section, which, for $Pb-Pb$ collisions at $\sqrt{s_{NN}} = 5.02$ TeV, is of the order of $3 \, μ\mbox{b}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_02645 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Production of meson molecules in ultra-peripheral heavy ion collisons Sobrinho, F. C. Abreu, L. M. Bertulani, C. A. Navarra, F. S. High Energy Physics - Phenomenology In this work we present a calculation of exotic charmonium production in ultra-peripheral collisions, in which the exotic state is explicitly treated as a meson molecule. Our formalism is general but we focus on the lightest possible exotic charmonium state: a $D^+ D^-$ molecular bound state. It was proposed some time ago and it has been object of experimental searches. Here we study the production of the open charm pair in the process $γγ\to D^+ D^-$. Then we use a prescription to project the free pair $ |D^+ D^- \rangle$ onto a bound state at the amplitude level and compute the cross section of the process $γγ\to B$ (where $B$ is the bound state). Finally, we convolute this last cross section with the equivalent photon distributions coming from the projectile and target in an ultra-peripheral collision and find the $A A \to A A B$ cross section, which, for $Pb-Pb$ collisions at $\sqrt{s_{NN}} = 5.02$ TeV, is of the order of $3 \, μ\mbox{b}$. |
| title | Production of meson molecules in ultra-peripheral heavy ion collisons |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2405.02645 |