DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Estimates of the X(3872) cross section at a hadron collider

Journal Article · · Physical Review D

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.

Research Organization:
The Ohio State Univ., Columbus, OH (United States)
Sponsoring Organization:
USDOE Office of Science (SC), High Energy Physics (HEP); National Science Foundation (NSF)
Grant/Contract Number:
SC0011726; PHY-1607190
OSTI ID:
1607574
Alternate ID(s):
OSTI ID: 1602459
Journal Information:
Physical Review D, Vol. 100, Issue 9; ISSN 2470-0010
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English

References (41)

Multiquark States journal October 2018
Exotics: Heavy pentaquarks and tetraquarks text January 2017
Hadronic molecules journal February 2018
Nonstandard heavy mesons and baryons: Experimental evidence journal February 2018
Bounds on the width, mass difference and other properties of X ( 3872 ) → π + π − J / ψ decays journal September 2011
Production of the bottom analogs and the spin partner of the X(3872) at hadron colliders journal September 2014
Observation of a Narrow Charmoniumlike State in Exclusive B ± → K ± π + π − J / ψ Decays journal December 2003
Universality in few-body systems with large scattering length journal June 2006
Measurements of ψ(2S) and X(3872) → J/ψπ + π − production in pp collisions at s = 8 $$ \sqrt{s}=8 $$ TeV with the ATLAS detector journal January 2017
The X(3872) Meson and "Exotic" Spectroscopy at cdf ii — or not? — journal February 2006
Review of Particle Physics text January 2008
Comment on ‘Note on X (3872) production at hadron colliders and its molecular structure’ journal October 2018
Review of Particle Physics journal August 2018
Measurement of the X(3872) production cross section via decays to J/ψπ + π − in pp collisions at $ \sqrt{s}=7 $ TeV journal April 2013
Observation of the Narrow State X ( 3872 ) → J / ψ π + π − in p ¯ p Collisions at s = 1.96     T e V journal August 2004
Exotics: Heavy pentaquarks and tetraquarks journal November 2017
Note on X (3872) production at hadron colliders and its molecular structure journal November 2017
Observation of X(3872) production in pp collisions at $\sqrt{s}=7\mbox{~TeV}$ journal May 2012
Determination of the X ( 3872 ) Meson Quantum Numbers journal May 2013
Is the X ( 3872 ) Production Cross Section at s = 1.96     TeV Compatible with a Hadron Molecule Interpretation? journal October 2009
Bound state and continuum production in large momentum transfer reactions journal August 1996
Observation of a Near-Threshold D 0 D ¯ 0 π 0 Enhancement in B → D 0 D ¯ 0 π 0 K Decay journal October 2006
Heavy-quark QCD exotica journal March 2017
Multiquark resonances journal January 2017
Exotic hadrons with heavy flavors: X , Y , Z , and related states journal June 2016
The hidden-charm pentaquark and tetraquark states journal June 2016
Production of the X ( 3872 ) at the Tevatron and the LHC journal June 2010
Observation and Properties of the X ( 3872 ) Decaying to J / ψ π + π − in p p ¯ Collisions at s = 1.96     T e V journal October 2004
The XYZ states revisited journal July 2018
Exotics: Heavy Pentaquarks and Tetraquarks text January 2017
Review of Particle Physics text January 2018
Measurement of the X(3872) production cross section via decays to J/ψπ + π − in pp collisions at s√=7 TeV text January 2013
Review of Particle Physics text January 2012
Observation of X(3872) production in pp collisions at sqrt(s)= 7 TeV text January 2011
Production of the bottom analogues and the spin partner of the X(3872) at hadron colliders text January 2014
The hidden-charm pentaquark and tetraquark states text January 2016
Heavy-Quark QCD Exotica text January 2016
Multiquark Resonances text January 2016
Note on X(3872) production at hadron colliders and its molecular structure text January 2017
Comment on `Note on X(3872) production at hadron colliders and its molecular structure' text January 2017
The XYZ states revisited text January 2018