• Open Access

Novel implementation of the multipole expansion to quarkonium hadronic transitions

Antonio Pineda and Jaume Tarrús Castellà
Phys. Rev. D 100, 054021 – Published 18 September 2019

Abstract

We compute hadronic transitions between heavy quarkonium states with two, or one, pion/eta particles in the final state. We use the multipole expansion but not the twist expansion. The latter cannot be justified for the energy release of hadronic transitions between heavy quarkonium states with different principal quantum numbers. Instead, we use a counting based on the dimension of the interpolating field of the hybrid. This alternative counting allows us to still use chiral low-energy theorems to compute the pion production by local gluonic operators. We explore the phenomenological impact of this counting. Remarkably enough, for the two-pion transitions, we obtain the same predictions for the normalized differential decay rate as those obtained assuming the twist expansion. We implement this computational scheme using the hadronic representation of the effective theory potential NRQCD. We assume that the inverse Bohr radius of the heavy quarkonium is much larger than ΛQCD but do not impose any constraint on the relative size of ΛQCD and the typical kinetic energy of the bound state.

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  • Received 20 May 2019

DOI:https://doi.org/10.1103/PhysRevD.100.054021

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

Published by the American Physical Society

Physics Subject Headings (PhySH)

  1. Physical Systems
Particles & Fields

Authors & Affiliations

Antonio Pineda and Jaume Tarrús Castellà

  • Grup de Física Teòrica, Dept. Física and IFAE-BIST, Universitat Autònoma de Barcelona, E-08193 Bellaterra (Barcelona), Spain

Article Text

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Issue

Vol. 100, Iss. 5 — 1 September 2019

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