Estimates of the cross section at a hadron collider
Abstract
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.
- Authors:
- Publication Date:
- Research Org.:
- The Ohio State Univ., Columbus, OH (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), High Energy Physics (HEP); National Science Foundation (NSF)
- OSTI Identifier:
- 1607574
- Alternate Identifier(s):
- OSTI ID: 1602459
- Grant/Contract Number:
- SC0011726; PHY-1607190
- Resource Type:
- Published Article
- Journal Name:
- Physical Review D
- Additional Journal Information:
- Journal Name: Physical Review D Journal Volume: 100 Journal Issue: 9; Journal ID: ISSN 2470-0010
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Citation Formats
Braaten, Eric, He, Li-Ping, and Ingles, Kevin. Estimates of the X(3872) cross section at a hadron collider. United States: N. p., 2019.
Web. doi:10.1103/PhysRevD.100.094024.
Braaten, Eric, He, Li-Ping, & Ingles, Kevin. Estimates of the X(3872) cross section at a hadron collider. United States. https://doi.org/10.1103/PhysRevD.100.094024
Braaten, Eric, He, Li-Ping, and Ingles, Kevin. Fri .
"Estimates of the X(3872) cross section at a hadron collider". United States. https://doi.org/10.1103/PhysRevD.100.094024.
@article{osti_1607574,
title = {Estimates of the X(3872) cross section at a hadron collider},
author = {Braaten, Eric and He, Li-Ping and Ingles, Kevin},
abstractNote = {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.},
doi = {10.1103/PhysRevD.100.094024},
journal = {Physical Review D},
number = 9,
volume = 100,
place = {United States},
year = {2019},
month = {11}
}
https://doi.org/10.1103/PhysRevD.100.094024
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