Title: Estimates of the $X\left(3872\right)$ 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:

Braaten, Eric; He, Li-Ping ;

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Ingles, Kevin

Publication Date:

2019-11-01

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