QCD constituent counting rules for neutral vector mesons
Abstract
QCD constituent counting rules define the scaling behavior of exclusive hadronic scattering and electromagnetic scattering amplitudes at high momentum transfer in terms of the total number of fundamental constituents in the initial and final states participating in the hard subprocess. The scaling laws reflect the twist of the leading Fock state for each hadron and hence the leading operator that creates the composite state from the vacuum. Thus, the constituent counting scaling laws can be used to identify the twist of exotic hadronic candidates such as tetraquarks and pentaquarks. Effective field theories must consistently implement the scaling rules in order to be consistent with the fundamental theory. Here in this paper, we examine how one can apply constituent counting rules for the exclusive production of one or two neutral vector mesons V ^{0} in e ^{+} e ^{} annihilation, processes in which the V ^{0} can couple via intermediate photons. In the case of a (narrow) real V ^{0}, the photon virtuality is fixed to a precise value s _{1} = m2V _{0}, thus treating the V ^{0} as a single fundamental particle. Each real V ^{0} thus contributes to the constituent counting rules with NV0 = 1 . Inmore »
 Authors:
 SLAC National Accelerator Lab., Menlo Park, CA (United States); Stanford Univ., CA (United States)
 Arizona State Univ., Tempe, AZ (United States). Dept. of Physics
 Univ. Tubingen, Tubingen (Germany). Kepler Center for Astro and Particle Physics, Inst. fur Theoretische Physik; Univ. Tecnica Federico Santa MarÃÂa, Valparaiso, (Chile); Tomsk State Univ., Tomsk (Russia). Dept. of Physics
 Publication Date:
 Research Org.:
 SLAC National Accelerator Lab., Menlo Park, CA (United States)
 Sponsoring Org.:
 USDOE; National Science Foundation (NSF)
 OSTI Identifier:
 1424719
 Grant/Contract Number:
 AC0276SF00515; PHY1403891; BMBFFSP 202; 0.1764.GZB.2017; VIUFTI72/2017
 Resource Type:
 Journal Article: Accepted Manuscript
 Journal Name:
 Physical Review D
 Additional Journal Information:
 Journal Volume: 97; Journal Issue: 3; Journal ID: ISSN 24700010
 Publisher:
 American Physical Society (APS)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Citation Formats
Brodsky, Stanley J., Lebed, Richard F., and Lyubovitskij, Valery E. QCD constituent counting rules for neutral vector mesons. United States: N. p., 2018.
Web. doi:10.1103/physrevd.97.034009.
Brodsky, Stanley J., Lebed, Richard F., & Lyubovitskij, Valery E. QCD constituent counting rules for neutral vector mesons. United States. doi:10.1103/physrevd.97.034009.
Brodsky, Stanley J., Lebed, Richard F., and Lyubovitskij, Valery E. 2018.
"QCD constituent counting rules for neutral vector mesons". United States.
doi:10.1103/physrevd.97.034009. https://www.osti.gov/servlets/purl/1424719.
@article{osti_1424719,
title = {QCD constituent counting rules for neutral vector mesons},
author = {Brodsky, Stanley J. and Lebed, Richard F. and Lyubovitskij, Valery E.},
abstractNote = {QCD constituent counting rules define the scaling behavior of exclusive hadronic scattering and electromagnetic scattering amplitudes at high momentum transfer in terms of the total number of fundamental constituents in the initial and final states participating in the hard subprocess. The scaling laws reflect the twist of the leading Fock state for each hadron and hence the leading operator that creates the composite state from the vacuum. Thus, the constituent counting scaling laws can be used to identify the twist of exotic hadronic candidates such as tetraquarks and pentaquarks. Effective field theories must consistently implement the scaling rules in order to be consistent with the fundamental theory. Here in this paper, we examine how one can apply constituent counting rules for the exclusive production of one or two neutral vector mesons V0 in e + e  annihilation, processes in which the V0 can couple via intermediate photons. In the case of a (narrow) real V0, the photon virtuality is fixed to a precise value s1 = m2V0, thus treating the V0 as a single fundamental particle. Each real V0 thus contributes to the constituent counting rules with NV0 = 1 . In effect, the leading operator underlying the V 0 has twist 1. Thus, in the specific physical case of single or double onshell V0 production via intermediate photons, the predicted scaling from counting rules coincides with vectormeson dominance (VMD), an effective theory that treats V 0 as an elementary field. However, the VMD prediction fails in the general case where the V0 is not coupled through an elementary photon field, and then the leadingtwist interpolating operator has twist NV0 = 2 . Analogous effects appear in pp scattering processes.},
doi = {10.1103/physrevd.97.034009},
journal = {Physical Review D},
number = 3,
volume = 97,
place = {United States},
year = 2018,
month = 2
}

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