Mass calculations of light quarkonium, exotic ${J}^{PC}={0}^{+\ensuremath{-}}$ hybrid mesons from Gaussian sum rules

Open Access

Mass calculations of light quarkonium, exotic $J^{P C} = 0^{+ -}$ hybrid mesons from Gaussian sum rules

J. Ho, R. Berg, T. G. Steele, Wei Chen, and D. Harnett

Phys. Rev. D 98, 096020 – Published 28 November 2018

Abstract

We extend previous calculations of leading-order correlation functions of spin-0 and spin-1 light quarkonium hybrids to include QCD condensates of dimensions five and six, with a view to improving the stability of QCD sum-rules analyses in previously unstable channels. Based on these calculations, prior analyses in the literature, and its experimental importance, we identify the exotic $J^{P C} = 0^{+ -}$ channel as the most promising for detailed study. Using Gaussian sum rules constrained by the Hölder inequality, we calculate masses of light (nonstrange and strange) quarkonium hybrid mesons with $J^{P C} = 0^{+ -}$ . A model-independent analysis of the hadronic spectral function indicates that there is distributed resonance strength in this channel. Hence, we study two hadronic models with distributed resonance strength: a single wide resonance model and a double narrow resonance model. The single wide resonance model is disfavored as it leads to an anomalously large resonance width (greater than 1 GeV). The double narrow resonance model yields excellent agreement between QCD and phenomenology: in both nonstrange and strange cases, we find hybrid masses of 2.60 GeV and 3.57 GeV.

Received 2 July 2018

DOI:https://doi.org/10.1103/PhysRevD.98.096020

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