Transversemomentumdependent quark distribution functions of spinone targets: Formalism and covariant calculations
In this paper, we present a covariant formulation and model calculations of the leadingtwist timereversal even transversemomentumdependent quark distribution functions (TMDs) for a spinone target. Emphasis is placed on a description of these threedimensional distribution functions which is independent of any constraints on the spin quantization axis. We apply our covariant spin description to all nine leadingtwist timereversal even ρ meson TMDs in the framework provided by the Nambu–JonaLasinio model, incorporating important aspects of quark confinement via the infrared cutoff in the propertime regularization scheme. In particular, the behaviors of the threedimensional TMDs in a tensor polarized spinone hadron are illustrated. Sum rules and positivity constraints are discussed in detail. Our results do not exhibit the familiar Gaussian behavior in the transverse momentum, and other results of interest include the finding that the tensor polarized TMDs—associated with spinone hadrons—are very sensitive to quark orbital angular momentum, and that the TMDs associated with the quark operator γ ^{+}γ _{T}γ _{5} would vanish were it not for dynamical chiral symmetry breaking. In addition, we find that 44% of the ρ meson's spin is carried by the orbital angular momentum of the quarks, and that the magnitude of the tensor polarized quark distributionmore »
 Authors:

^{[1]};
^{[2]};
^{[3]}
 Tokai Univ., Hiratsuka (Japan). Dept. of Physics. School of Science
 Tokai Univ., Hiratsuka (Japan). Dept. of Physics. School of Science; RIKEN, Wako (Japan). Radiation Lab. Nishina Center
 Argonne National Lab. (ANL), Argonne, IL (United States). Physics Division
 Publication Date:
 Grant/Contract Number:
 AC0206CH11357
 Type:
 Accepted Manuscript
 Journal Name:
 Physical Review C
 Additional Journal Information:
 Journal Volume: 96; Journal Issue: 4; Journal ID: ISSN 24699985
 Publisher:
 American Physical Society (APS)
 Research Org:
 Argonne National Lab. (ANL), Argonne, IL (United States); Tokai Univ., Hiratsuka (Japan)
 Sponsoring Org:
 USDOE Office of Science (SC), Nuclear Physics (NP) (SC26); ANL Laboratory Directed Research and Development (LDRD) Program
 Country of Publication:
 United States
 Language:
 English
 Subject:
 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; QCD in nuclear reactions; quantum chromodynamics; quark model
 OSTI Identifier:
 1430705
Ninomiya, Yu, Bentz, Wolfgang, and Cloet, Ian C. Transversemomentumdependent quark distribution functions of spinone targets: Formalism and covariant calculations. United States: N. p.,
Web. doi:10.1103/physrevc.96.045206.
Ninomiya, Yu, Bentz, Wolfgang, & Cloet, Ian C. Transversemomentumdependent quark distribution functions of spinone targets: Formalism and covariant calculations. United States. doi:10.1103/physrevc.96.045206.
Ninomiya, Yu, Bentz, Wolfgang, and Cloet, Ian C. 2017.
"Transversemomentumdependent quark distribution functions of spinone targets: Formalism and covariant calculations". United States.
doi:10.1103/physrevc.96.045206. https://www.osti.gov/servlets/purl/1430705.
@article{osti_1430705,
title = {Transversemomentumdependent quark distribution functions of spinone targets: Formalism and covariant calculations},
author = {Ninomiya, Yu and Bentz, Wolfgang and Cloet, Ian C.},
abstractNote = {In this paper, we present a covariant formulation and model calculations of the leadingtwist timereversal even transversemomentumdependent quark distribution functions (TMDs) for a spinone target. Emphasis is placed on a description of these threedimensional distribution functions which is independent of any constraints on the spin quantization axis. We apply our covariant spin description to all nine leadingtwist timereversal even ρ meson TMDs in the framework provided by the Nambu–JonaLasinio model, incorporating important aspects of quark confinement via the infrared cutoff in the propertime regularization scheme. In particular, the behaviors of the threedimensional TMDs in a tensor polarized spinone hadron are illustrated. Sum rules and positivity constraints are discussed in detail. Our results do not exhibit the familiar Gaussian behavior in the transverse momentum, and other results of interest include the finding that the tensor polarized TMDs—associated with spinone hadrons—are very sensitive to quark orbital angular momentum, and that the TMDs associated with the quark operator γ+γTγ5 would vanish were it not for dynamical chiral symmetry breaking. In addition, we find that 44% of the ρ 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. Finally, a qualitative comparison between our results for the tensor structure of a quarkantiquark bound state is made to existing experimental and theoretical results for the twonucleon (deuteron) bound state.},
doi = {10.1103/physrevc.96.045206},
journal = {Physical Review C},
number = 4,
volume = 96,
place = {United States},
year = {2017},
month = {10}
}