Novel implementation of the multipole expansion to quarkonium hadronic transitions

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• dc.contributor.author Pineda, Antonio
• dc.contributor.author Tarrús Castellà, Jaume
• dc.date.accessioned 2025-10-09T12:15:55Z
• dc.date.available 2025-10-09T12:15:55Z
• dc.date.issued 2019
• dc.date.updated 2025-10-09T12:15:55Z
• dc.description.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 AQCD but do not impose any constraint on the relative size of AQCD and the typical kinetic energy of the bound state.
• dc.format.mimetype application/pdf
• dc.identifier.citation Pineda A, Tarrús Castellà J. Novel implementation of the multipole expansion to quarkonium hadronic transitions. Phys Rev D. 2019;100(5):54021. DOI: 10.1103/PhysRevD.100.054021
• dc.identifier.doi http://dx.doi.org/10.1103/PhysRevD.100.054021
• dc.identifier.issn 2470-0010
• dc.identifier.uri http://hdl.handle.net/10230/71452
• dc.language.iso eng
• dc.publisher American Physical Society
• dc.relation.ispartof Physical Review D. 2019;100(5):54021
• dc.rights 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 SCOAP.
• dc.rights.accessRights info:eu-repo/semantics/openAccess
• dc.rights.uri http://creativecommons.org/licenses/by/4.0/
• dc.subject.keyword Effective field theory
• dc.subject.keyword Quarkonia
• dc.title Novel implementation of the multipole expansion to quarkonium hadronic transitions
• dc.type info:eu-repo/semantics/article
• dc.type.version info:eu-repo/semantics/publishedVersion