https://doi.org/10.1140/epjp/s13360-020-00470-0
Regular Article
Sivers and Boer–Mulders GTMDs in light-front holographic quark–diquark model
1
Department of Physics, Indian Institute of Technology Kanpur, 208016, Kanpur, India
2
Department of Physics, Doaba College Jalandhar, 144004, Jalandhar, India
3
Key Laboratory of Nuclear Physics and Ion-beam Application (MOE) and Institute of Modern Physics, Fudan University, 200433, Shanghai, China
4
Department of Physics, Indian Institute of Technology Bombay, 400076, Powai, Mumbai, India
Received:
7
June
2019
Accepted:
18
May
2020
Published online:
15
June
2020
We calculate the time reversal odd (T-odd) generalized transverse momentum-dependent parton distributions (GTMDs) 
and 
and the corresponding Wigner distributions in a light-front quark–diquark model based on AdS/QCD. In the limit of zero momentum transfer, these reduce to the Sivers and Boer–Mulders TMDs, respectively. We have incorporated both scalar and axial vector diquarks in the model and obtained an overlap representation of the GTMDs using the light-front wave functions (LFWFs). Contribution from the final state interaction is incorporated at the level of one gluon exchange as a phase factor in the LFWF. We show that the final state interaction term can be factored out in this model and this part is the same for both GTMDs. We also present the Sivers and Boer–Mulders Wigner distributions in transverse momentum plane as well as in transverse impact parameter plane.
© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2020
