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19 April 2024 |
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The Meson Spectrum in a Covariant Quark Model | | Ralf Ricken
; Matthias Koll
; Dirk Merten
; Bernard Ch. Metsch
; Herbert R. Petry
; | | Date: |
21 Aug 2000 | | Journal: | Eur.Phys.J. A9 (2000) 221-244 | | Subject: | hep-ph | | Abstract: | Within the framework of the instantaneous Bethe-Salpeter equation, we present a detailed analysis of light meson spectra with respect to various parameterizations of confinement in Dirac space. Assuming a linearly rising quark-antiquark potential, we investigate two different spinorial forms (Dirac structures), namely ${1/2}(IdotimesId - gamma^0otimesgamma^0)$ as well as the $U_A(1)$-invariant combination ${1/2}(IdotimesId - gamma^5otimesgamma^5 - gamma^muotimesgamma_mu)$, both providing a good description of the ground state Regge trajectories up to highest observed angular momenta. Whereas the first structure is slightly prefered concerning numerous meson decay properties (see cite{pap41}), we find the $U_A(1)$-invariant force to be much more appropriate for the description of a multitude of higher mass resonances discovered in the data of the {sc Crystal Barrel} collaboration during the last few years. Furthermore, this confinement structure has the remarkable feature to yield a linear dependence of masses on their radial excitation number. For many experimental resonances such a trajectory-like behaviour was observed by Anisovich {it et al.} We can confirm that almost the same slope occurs for all trajectories. Adding the $U_A(1)$-breaking instanton induced ’t Hooft interaction we can compute the pseudoscalar mass splittings with both Dirac structures and for the scalar mesons a natural mechanism of flavour mixing is achieved. [...] | | Source: | arXiv, hep-ph/0008221 | | Services: | Forum | Review | PDF | Favorites | |
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