D-wave effects in heavy quarkonium production in ultraperipheral nuclear collisions

Abstract

The $D$-wave admixture in quarkonium wave functions is acquired from the photonlike structure of $V\to Q\bar{Q}$ transition in the light-front frame widely used in the literature. Such a $D$-wave ballast is not justified by any nonrelativistic model for $Q-\bar{Q}$ interaction potential and leads to falsified predictions for the cross sections in heavy quarkonium production in ultra-peripheral nuclear collisions. We analyze this negative role of $D$-wave contribution by comparing with our previous studies based on a simple non-photon-like "$S$-wave-only" $V\to Q\bar{Q}$ transition in the $Q\bar{Q}$ rest frame.

13 pages including 4 figures and 1 table. The version for resubmission to Physical Review D. arXiv admin note: text overlap with arXiv:2008.05116

References in corpus (6)

• Analysis of combined HERA data in the Impact-Parameter dependent Saturation model
• Relativistic corrections to the vector meson light front wave function
• Theoretical uncertainties in exclusive electroproduction S-wave heavy quarkonia
• Spin rotation effects in diffractive electroproduction of heavy quarkonia
• Nuclear shadowing in DIS at electron-ion colliders
• Production of Polarized Vector Mesons off Nuclei

Cited by in corpus (2)

• Coherent $J/\psi$ and ${\psi }^{\prime }$ photoproduction at midrapidity in ultra-peripheral Pb-Pb collisions at $\sqrt{s_{\mathrm{NN}}}=5.02$ TeV
• Electroproduction of heavy quarkonia: significance of dipole orientation