Hadroproduction of scalar P -wave quarkonia in the light-front k T -factorization approach
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Received: March 2, Revised: May 2, Accepted: May 21, Published: June 16,
2020 2020 2020 2020
Izabela Babiarz,a Roman Pasechnik,b,c,d Wolfgang Sch¨ afera and Antoni Szczureka,e a
Institute of Nuclear Physics, Polish Academy of Sciences, ul. Radzikowskiego 152, PL-31-342 Krak´ ow, Poland b Department of Astronomy and Theoretical Physics, Lund University, SE-223 62 Lund, Sweden c Nuclear Physics Institute ASCR, 25068 Reˇz, Czech Republic d Departamento de F´ısica, CFM, Universidade Federal de Santa Catarina, C.P. 476, CEP 88.040-900, Florian´ opolis, SC, Brazil e Faculty of Mathematics and Natural Sciences, University of Rzesz´ ow, ul. Pigonia 1, PL-35-310 Rzesz´ ow, Poland
E-mail: [email protected], [email protected], [email protected], [email protected] Abstract: In this work, we present a thorough analysis of scalar P -wave χQ0 , Q = c, b quarkonia electromagnetic form factors for the γ ∗ γ ∗ → χQ0 couplings, as well as their hadroproduction observables in k⊥ -factorisation using the light-front (LF) potential approach for the quarkonium wave function. The electromagnetic form factors are presented as functions of photon virtualities. We discuss the role of the Melosh spin-rotation and relativistic corrections estimated by comparing our results with those in the standard nonrelativistic QCD (NRQCD) approach. Theoretical uncertainties of our approach are found by performing the analysis with two different unintegrated gluon densities and with five ¯ interaction potentials consistent with the meson spectra. The distinct models of the QQ results for the rapidity and transverse momentum distributions of χQ0 produced in high√ energy pp collisions at s = 13 TeV are shown. Keywords: QCD Phenomenology ArXiv ePrint: 2002.09352
c The Authors. Open Access, Article funded by SCOAP3 .
https://doi.org/10.1007/JHEP06(2020)101
JHEP06(2020)101
Hadroproduction of scalar P -wave quarkonia in the light-front kT -factorization approach
Contents 1
2 kT -factorization for inclusive hadroproduction
2
¯ 3 kT -factorization element for final state QQ 3.1 NRQCD limit
3 5
4 The γ ∗ γ ∗ → χQ0 amplitude and electromagnetic transition form factors
6
5 Light-front wave functions and radiative decay widths
8
6 The γ ∗ γ ∗ → χc0 and γ ∗ γ ∗ → χb0 form factors: numerical results
11
7 Differential cross sections for the pp → χc0 and pp → χb0 reactions
14
8 Conclusions
18
A Light-cone wave function for the scalar meson 2S+1 LJ =3 P0 , J P C = 0++ 21
1
Introduction
The production of quarkonia in hadronic collisions continues to attract a lot of interest [1–4]. Different approaches were used in the past, for the case of χc , χb production, see e.g. [5– 12]. Here, we continue our investigation [13, 14] of quarkonia production observables in the framework of the k⊥ -factorisation approach [15–19] in the color-singlet formulation employing the light-front quarkonia wave functions. The previous works in refs. [5–8] have observed that in the k⊥ -factorisation approach the color-single
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