Masses of <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><msup><mrow><mi>J</mi></mrow><mrow><mi>P</mi><mi>C</mi></mrow></msup><mo>=</mo><msup><mrow><mn>1</mn></mrow><mrow><mo>−</mo><mo>+</mo></mrow></msup></mrow></math></span> exotic quarkonia in a Bethe-Salpeter-equation approach

T. Hilger; M. Gómez-Rocha; A. Krassnigg

doi:10.1103/PhysRevD.91.114004

Masses of $J^{P C} = 1^{- +}$ exotic quarkonia in a Bethe-Salpeter-equation approach

T. Hilger¹, M. Gómez-Rocha^2,1, and A. Krassnigg^1,*

¹Institute of Physics, University of Graz, NAWI Graz, A-8010 Graz, Austria
²Institute of High Energy Physics, Austrian Academy of Sciences, A-1050 Vienna, Austria

^*andreas.krassnigg@uni-graz.at

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Phys. Rev. D 91, 114004 – Published 3 June, 2015

DOI: https://doi.org/10.1103/PhysRevD.91.114004

Abstract

We investigate the properties of mesons with the exotic $J^{P C} = 1^{- +}$ quantum numbers. Starting out from the light-quark domain, where the $π_{1}$ states are used as references, we predict the masses of analogous quarkonia for $c \bar{c}$ and $b \bar{b}$ configurations. We employ a covariant Dyson-Schwinger–Bethe-Salpeter-equation approach with a rainbow-ladder truncated model of quantum chromodynamics.

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Physical Review D

Masses of $J^{P C} = 1^{- +}$ exotic quarkonia in a Bethe-Salpeter-equation approach

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Masses of JPC=1−+ exotic quarkonia in a Bethe-Salpeter-equation approach

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Masses of $J^{P C} = 1^{- +}$ exotic quarkonia in a Bethe-Salpeter-equation approach