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Title: Estimates of the X ( 3872 ) 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:
; ORCiD logo;
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}
}

Works referenced in this record:

Multiquark States
journal, October 2018


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


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

  • Chatrchyan, S.; Khachatryan, V.; Sirunyan, A. M.
  • Journal of High Energy Physics, Vol. 2013, Issue 4
  • DOI: 10.1007/JHEP04(2013)154

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

  • Ali, Ahmed; Lange, Jens Sören; Stone, Sheldon
  • Progress in Particle and Nuclear Physics, Vol. 97
  • DOI: 10.1016/j.ppnp.2017.08.003

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

  • Lebed, Richard F.; Mitchell, Ryan E.; Swanson, Eric S.
  • Progress in Particle and Nuclear Physics, Vol. 93
  • DOI: 10.1016/j.ppnp.2016.11.003

Multiquark resonances
journal, January 2017


Exotic hadrons with heavy flavors: X , Y , Z , and related states
journal, June 2016

  • Hosaka, Atsushi; Iijima, Toru; Miyabayashi, Kenkichi
  • Progress of Theoretical and Experimental Physics, Vol. 2016, Issue 6
  • DOI: 10.1093/ptep/ptw045

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

  • Ali, Ahmed; Lange, Jens Sören; Stone, Sheldon
  • Deutsches Elektronen-Synchrotron, DESY, Hamburg
  • DOI: 10.3204/pubdb-2017-11774