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A covariant study of tensor mesons

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arxiv 1011.6650 v1 pith:52AARL54 submitted 2010-11-30 hep-ph hep-latnucl-th

A covariant study of tensor mesons

classification hep-ph hep-latnucl-th
keywords covariantmesonsbethe-salpeterstructurestensoraccountamplitudesbases
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We investigate tensor mesons as quark-antiquark bound states in a fully covariant Bethe-Salpeter equation. As a first concrete step we report results for masses of J^{PC}=2^{++} mesons from the chiral limit up to bottomonium and sketch a comparison to experimental data. All covariant structures of the fermion-antifermion system are taken into account and their roles and importance discussed in two different bases. We also present the general construction principle for covariant Bethe-Salpeter amplitudes of mesons with any spin and find eight covariant structures for any J>0.

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  1. Spectra of light and heavy mesons with $J \le 5$ in a relativistic Bethe-Salpeter approach

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    First J=4,5 meson Bethe-Salpeter tensor bases plus exploratory rainbow-ladder spectra and Regge trajectories from light through bottom quarkonia.