Academic Journal
QCD constituent counting rules for neutral vector mesons
| Τίτλος: | QCD constituent counting rules for neutral vector mesons |
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| Συγγραφείς: | Brodsky, Stanley J., Lebed, Richard F., Lyubovitskij, Valery E. |
| Πηγή: | Physical Review Physical Review D. 2018. Vol. 97, № 3. P. 034009-1-034009-7 |
| Publication Status: | Preprint |
| Στοιχεία εκδότη: | American Physical Society (APS), 2018. |
| Έτος έκδοσης: | 2018 |
| Θεματικοί όροι: | High Energy Physics - Phenomenology, High Energy Physics - Phenomenology (hep-ph), 13. Climate action, пентакварки, адронное рассеяние, 0103 physical sciences, FOS: Physical sciences, нейтральные векторные мезоны, экзотические частицы, 7. Clean energy, 01 natural sciences, электромагнитное рассеяние, тетраакраки |
| Περιγραφή: | 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 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 case of a (narrow) real $V^0$, the photon virtuality is fixed to a precise value $s_1 = m_{V^0}^2$, in effect treating the $V^0$ as a single fundamental particle. Each real $V^0$ thus contributes to the constituent counting rules with $N_{V_0} = 1$. In effect, the leading operator underlying the $V^0$ has twist 1. Thus, in the specific physical case of single or double on-shell $V^0$ production via intermediate photons, the predicted scaling from counting rules coincides with Vector Meson Dominance (VMD), an effective theory that treats $V^0$ as an elementary field. However, the VMD prediction fails in the general case where the $V^0$ is not coupled through an elementary photon field, and then the leading-twist interpolating operator has twist $N_{V_0} = 2$. Analogous effects appear in $pp$ scattering processes. 15 pages |
| Τύπος εγγράφου: | Article |
| Περιγραφή αρχείου: | application/pdf |
| Γλώσσα: | English |
| ISSN: | 2470-0029 2470-0010 |
| DOI: | 10.1103/physrevd.97.034009 |
| DOI: | 10.48550/arxiv.1712.08853 |
| Σύνδεσμος πρόσβασης: | http://link.aps.org/pdf/10.1103/PhysRevD.97.034009 http://arxiv.org/abs/1712.08853 https://arxiv.org/abs/1712.08853 https://link.aps.org/doi/10.1103/PhysRevD.97.034009 https://asu.pure.elsevier.com/en/publications/qcd-constituent-counting-rules-for-neutral-vector-mesons https://arxiv.org/pdf/1712.08853.pdf http://ui.adsabs.harvard.edu/abs/2018PhRvD..97c4009B/abstract http://vital.lib.tsu.ru/vital/access/manager/Repository/vtls:000635403 |
| Rights: | CC BY arXiv Non-Exclusive Distribution |
| Αριθμός Καταχώρησης: | edsair.doi.dedup.....a12a2ac509aa321155c948c444e1c3e0 |
| Βάση Δεδομένων: | OpenAIRE |
| ISSN: | 24700029 24700010 |
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| DOI: | 10.1103/physrevd.97.034009 |