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- W2734637078 abstract "We present a covariant formulation and model calculations of transverse momentum-dependent quark distribution functions (TMDs) for spin-one hadrons. Emphasis is placed on a description of these 3-dimensional distribution functions which is independent of any constraints on the spin quantization axis. We apply our covariant spin description to all nine leading-twist time-reversal even $rho$ meson TMDs in the framework provided by the Nambu--Jona-Lasinio model, incorporating important aspects of quark confinement via the infrared cut-off in the proper-time regularization scheme. In particular, the behavior of the 3-dimensional TMDs in a tensor polarized spin-one hadron are illustrated. Sum rules and positivity constraints are discussed in detail. Results of particular interest include the finding that the tensor polarized TMDs -- associated with spin-one hadrons -- are very sensitive to quark orbital angular momentum, and that the TMDs associated with the quark operator $gamma^+boldsymbol{gamma}_Tgamma_5$ would vanish were it not for dynamical chiral symmetry breaking. In addition, we find that 44% of the $rho$ meson's spin is carried by the orbital angular momentum of the quarks, and that the magnitude of the tensor polarized quark distribution function is about 30% of the unpolarized quark distribution. A qualitative comparison between our results for the tensor structure of a quark-antiquark bound state is made to previous experimental and theoretical results for the two-nucleon (deuteron) bound state." @default.
- W2734637078 created "2017-07-21" @default.
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- W2734637078 date "2017-10-24" @default.
- W2734637078 modified "2023-10-17" @default.
- W2734637078 title "Transverse-momentum-dependent quark distribution functions of spin-one targets: Formalism and covariant calculations" @default.
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- W2734637078 doi "https://doi.org/10.1103/physrevc.96.045206" @default.
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