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Title: The direct coupling of light quarks to heavy di-quarks

Abstract

In the limit m Q > m Q v rel > m Q v rel 2 >> Λ Q C D hadronic states with two heavy quarks Q should be describable by a version of HQET where the heavy quark is replaced by a di-quark degree of freedom. In this limit the di-quark is a small (compared with 1 / Λ Q C D ) color anti-triplet, bound primarily by a color Coulomb potential. The excited Coulombic states and color six states are much heavier than the color anti-triplet ground state. The low lying spectrum of hadrons containing two heavy quarks is then determined by the coupling of the light quarks and gluons with momentum of order Λ Q C D to this ground state di-quark. In this short paper we calculate the coefficient of leading local operator ( S v S v ) ( q ¯ γ μ v μ q ) that couples this color anti-triplet di-quark field S v (with four-velocity v) directly to the light quarks q in the low energy effective theory. It is O ( 1 / ( α s ( m Q v rel ) m Q 2 ) ) . While our work is mostly of pedagogical value we make an estimate of the contribution of this operator to the masses of Ξ b b q baryon and T Q Q q ¯ q ¯ tetraquark using the non-relativistic constituent quark model.

Authors:
;
Publication Date:
Research Org.:
California Institute of Technology (CalTech), Pasadena, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP)
OSTI Identifier:
1481037
Alternate Identifier(s):
OSTI ID: 1597478
Grant/Contract Number:  
SC0011632
Resource Type:
Published Article
Journal Name:
Physics Letters B
Additional Journal Information:
Journal Name: Physics Letters B Journal Volume: 788 Journal Issue: C; Journal ID: ISSN 0370-2693
Publisher:
Elsevier
Country of Publication:
Netherlands
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats

An, Haipeng, and Wise, Mark B. The direct coupling of light quarks to heavy di-quarks. Netherlands: N. p., 2019. Web. https://doi.org/10.1016/j.physletb.2018.11.004.
An, Haipeng, & Wise, Mark B. The direct coupling of light quarks to heavy di-quarks. Netherlands. https://doi.org/10.1016/j.physletb.2018.11.004
An, Haipeng, and Wise, Mark B. Tue . "The direct coupling of light quarks to heavy di-quarks". Netherlands. https://doi.org/10.1016/j.physletb.2018.11.004.
@article{osti_1481037,
title = {The direct coupling of light quarks to heavy di-quarks},
author = {An, Haipeng and Wise, Mark B.},
abstractNote = {In the limit mQ>mQvrel>mQvrel2>>ΛQCD hadronic states with two heavy quarks Q should be describable by a version of HQET where the heavy quark is replaced by a di-quark degree of freedom. In this limit the di-quark is a small (compared with 1/ΛQCD) color anti-triplet, bound primarily by a color Coulomb potential. The excited Coulombic states and color six states are much heavier than the color anti-triplet ground state. The low lying spectrum of hadrons containing two heavy quarks is then determined by the coupling of the light quarks and gluons with momentum of order ΛQCD to this ground state di-quark. In this short paper we calculate the coefficient of leading local operator (Sv†Sv)(q¯γμvμq) that couples this color anti-triplet di-quark field Sv (with four-velocity v) directly to the light quarks q in the low energy effective theory. It is O(1/(αs(mQvrel)mQ2)). While our work is mostly of pedagogical value we make an estimate of the contribution of this operator to the masses of Ξbbq baryon and TQQq¯q¯ tetraquark using the non-relativistic constituent quark model.},
doi = {10.1016/j.physletb.2018.11.004},
journal = {Physics Letters B},
number = C,
volume = 788,
place = {Netherlands},
year = {2019},
month = {1}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
https://doi.org/10.1016/j.physletb.2018.11.004

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Cited by: 2 works
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  • Kiselev, V. V.; Berezhnoy, A. V.; Likhoded, A. K.
  • Physics of Atomic Nuclei, Vol. 81, Issue 3
  • DOI: 10.1134/S1063778818030134

    Works referencing / citing this record:

    Mass spectrum of the hidden-charm pentaquarks in the compact diquark model
    journal, October 2019

    • Ali, Ahmed; Ahmed, Ishtiaq; Aslam, M. Jamil
    • Journal of High Energy Physics, Vol. 2019, Issue 10
    • DOI: 10.1007/jhep10(2019)256

    Perturbative corrections to heavy quark-diquark symmetry predictions for doubly heavy baryon hyperfine splittings
    journal, October 2019