Leading twist GTMDs at nonzero skewness and Wigner distributions in boost-invariant longitudinal position space

Maj, Tanmay and Mondal, Chandan and Kang, Daekyoung (2022) Leading twist GTMDs at nonzero skewness and Wigner distributions in boost-invariant longitudinal position space. Physical Review D, 105 (7). pp. 1-18. ISSN 2470-0010

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Abstract

We investigate the leading twist quark generalized transverse momentum distributions (GTMDs) at nonzero skewness in a light-front quark-diquark model for the nucleon motivated by soft-wall AdS/QCD. The boost-invariant longitudinal coordinate, σ=12b-P+, is identified as the Fourier conjugate of the skewness. The Fourier transform of the GTMDs with respect to the skewness variable ζ can be employed to provide the Wigner distributions in the boost-invariant longitudinal position space σ, the coordinate conjugate to light-front time, τ=t+z/c. The Wigner distributions in the longitudinal position space exhibit diffraction patterns, which are analogous to the diffractive scattering of a wave in optics. © 2022 authors.

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IITH Creators:

IITH Creators	ORCiD

Item Type:

Article

Additional Information:

The work of T. M. and D. K. is supported by the National Key Research and Development Program of China under Contract No. 2020YFA0406301, the National Natural Science Foundation of China (NSFC) through Grants No. 12150610461 and No. 11875112 and the China Postdoctoral Science Foundation through Grant No. KLH1512104. T. M. also thanks the Science and Engineering Research Board (SERB) for the support through the N-PDF file No. PDF/2021/001964. C. M. is supported by new faculty start up funding by the Institute of Modern Physics, Chinese Academy of Sciences, Grant No. E129952YR0. C. M. also thanks the Chinese Academy of Sciences Presidents International Fellowship Initiative for the support via Grant No. 2021PM0023.

Uncontrolled Keywords:

generalized transverse momentum distributions (GTMDs), light-front quark-diquark model, diffractive scattering.

Subjects:

Physics
Physics > Modern physics

Divisions:

Department of Physics

Depositing User:

. LibTrainee 2021

Date Deposited:

13 Jul 2022 10:44

Last Modified:

13 Jul 2022 10:44