Estimates of the X(3872) cross section at a hadron collider
| Autor: | Eric Braaten, Li-Ping He, Kevin Ingles |
|---|---|
| Rok vydání: | 2019 |
| Předmět: |
Physics
Particle physics Meson 010308 nuclear & particles physics High Energy Physics::Phenomenology Hadron FOS: Physical sciences Order (ring theory) Computer Science::Digital Libraries 01 natural sciences Resonance (particle physics) High Energy Physics - Phenomenology Cross section (physics) High Energy Physics - Phenomenology (hep-ph) 0103 physical sciences High Energy Physics::Experiment Production (computer science) Nuclear Experiment 010306 general physics X(3872) Event generator |
| Zdroj: | Physical Review |
| ISSN: | 2470-0029 2470-0010 |
| DOI: | 10.1103/physrevd.100.094024 |
| Popis: | The claim that the $X(3872)$ meson cannot be a charm-meson molecule because its prompt production cross section at hadron colliders is too large is based on an upper bound in terms of a cross section for producing charm-meson pairs. Assuming $X$ is sufficiently weakly bound, we derive an equality between the $X$ cross section and a charm-meson pair cross section that takes into account the threshold enhancement from the $X$ resonance. The cross section for producing $X$ is equal to that for producing $D^{*0} \bar{D}^0$ integrated up to a relative momentum $k_\mathrm{max} = 7.7\,\gamma_X$, where $\gamma_X$ is the binding momentum of $X$. We also derive an order-of-magnitude estimate of the $X$ cross section in terms of a naive charm-meson pair cross section that does not take into account the threshold enhancement, such as that produced by a Monte Carlo event generator. The cross section for producing $X$ can be approximated by the naive cross section for producing $D^{*0} \bar{D}^0$ integrated up to a relative momentum $k_\mathrm{max}$ of order $(m_\pi^2 \gamma_X)^{1/3}$. The estimates of the prompt $X$ cross section at hadron colliders are consistent with the cross sections observed at the Tevatron and the LHC. Comment: 14 pages, 1 figure. Extensively revised to focus mainly on the production of $X(3872)$ at hadron colliders. Material on production of $X(3872)$ plus a pion was removed. Text overlap with arXiv:1903:04355 |
| Databáze: | OpenAIRE |
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