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Title: Transverse-momentum-dependent quark distribution functions of spin-one targets: Formalism and covariant calculations

Abstract

In this paper, we present a covariant formulation and model calculations of the leading-twist time-reversal even transverse-momentum-dependent quark distribution functions (TMDs) for a spin-one target. Emphasis is placed on a description of these three-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 ρ meson TMDs in the framework provided by the Nambu–Jona-Lasinio model, incorporating important aspects of quark confinement via the infrared cutoff in the proper-time regularization scheme. In particular, the behaviors of the three-dimensional TMDs in a tensor polarized spin-one 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 spin-one hadrons—are very sensitive to quark orbital angular momentum, and that the TMDs associated with the quark operator γ +γ Tγ 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 » function is about 30% of the unpolarized quark distribution. Finally, a qualitative comparison between our results for the tensor structure of a quark-antiquark bound state is made to existing experimental and theoretical results for the two-nucleon (deuteron) bound state.« less

Authors:
 [1];  [2];  [3]
  1. Tokai Univ., Hiratsuka (Japan). Dept. of Physics. School of Science
  2. Tokai Univ., Hiratsuka (Japan). Dept. of Physics. School of Science; RIKEN, Wako (Japan). Radiation Lab. Nishina Center
  3. Argonne National Lab. (ANL), Argonne, IL (United States). Physics Division
Publication Date:
Research Org.:
Argonne National Lab. (ANL), Argonne, IL (United States); Tokai Univ., Hiratsuka (Japan)
Sponsoring Org.:
USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26); ANL Laboratory Directed Research and Development (LDRD) Program
OSTI Identifier:
1430705
Alternate Identifier(s):
OSTI ID: 1402531
Grant/Contract Number:  
AC02-06CH11357
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review C
Additional Journal Information:
Journal Volume: 96; Journal Issue: 4; Journal ID: ISSN 2469-9985
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; QCD in nuclear reactions; quantum chromodynamics; quark model

Citation Formats

Ninomiya, Yu, Bentz, Wolfgang, and Cloet, Ian C. Transverse-momentum-dependent quark distribution functions of spin-one targets: Formalism and covariant calculations. United States: N. p., 2017. Web. doi:10.1103/physrevc.96.045206.
Ninomiya, Yu, Bentz, Wolfgang, & Cloet, Ian C. Transverse-momentum-dependent quark distribution functions of spin-one targets: Formalism and covariant calculations. United States. doi:10.1103/physrevc.96.045206.
Ninomiya, Yu, Bentz, Wolfgang, and Cloet, Ian C. Tue . "Transverse-momentum-dependent quark distribution functions of spin-one targets: Formalism and covariant calculations". United States. doi:10.1103/physrevc.96.045206. https://www.osti.gov/servlets/purl/1430705.
@article{osti_1430705,
title = {Transverse-momentum-dependent quark distribution functions of spin-one 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 leading-twist time-reversal even transverse-momentum-dependent quark distribution functions (TMDs) for a spin-one target. Emphasis is placed on a description of these three-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 ρ meson TMDs in the framework provided by the Nambu–Jona-Lasinio model, incorporating important aspects of quark confinement via the infrared cutoff in the proper-time regularization scheme. In particular, the behaviors of the three-dimensional TMDs in a tensor polarized spin-one 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 spin-one 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 quark-antiquark bound state is made to existing experimental and theoretical results for the two-nucleon (deuteron) bound state.},
doi = {10.1103/physrevc.96.045206},
journal = {Physical Review C},
number = 4,
volume = 96,
place = {United States},
year = {2017},
month = {10}
}

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