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Title: Comparison of two Minkowski-space approaches to heavy quarkonia
Authors: Leitão, Sofia
Li, Yang
Maris, Pieter
Peña, M. T.
Stadler, Alfred
Vary, James P.
Biernat, Elmar P.
Keywords: Heavy quarkonia
Covariant Spectator Teory
Basis Light Front Quantization
Issue Date: Oct-2017
Publisher: Springer Berlin Heidelberg
Citation: Leitão, S., Li, Y., Maris, P. ,Peña, M.T., Stadler, A., Vary, J.P., Biernat, E.P., Eur. Phys. J. C (2017) 77: 696.
Abstract: In this work we compare mass spectra and decay constants obtained from two recent, independent, and fully relativistic approaches to the quarkonium bound-state problem: the Basis Light-Front Quantization approach, where light-front wave functions are naturally formulated; and, the Covariant Spectator Theory (CST), based on a reorganization of the Bethe–Salpeter equation. Even though conceptually different, both solutions are obtained in Minkowski space. Comparisons of decay constants for more than ten states of charmonium and bottomonium show favorable agreement between the two approaches as well as with experiment where available. We also apply the Brodsky–Huang–Lepage prescription to convert the CST amplitudes into functions of light-front variables. This provides an ideal opportunity to investigate the similarities and differences at the level of the wave functions. Several qualitative features are observed in remarkable agreement between the two approaches even for the rarely addressed excited states. Leading-twist distribution amplitudes as well as parton distribution functions of heavy quarkonia are also analyzed.
Type: article
Appears in Collections:FIS - Publicações - Artigos em Revistas Internacionais Com Arbitragem Científica

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