Transversity generalized parton distributions in spin- 3/2 particles

Author:

Fu Dongyan12ORCID,Dong Yubing12,Kumano S.341ORCID

Affiliation:

1. Chinese Academy of Sciences

2. University of Chinese Academy of Sciences

3. Japan Women’s University

4. Theory Center, Institute of Particle and Nuclear Studies

Abstract

The definitions of the quark and gluon transversity generalized parton distributions (GPDs) in spin-3/2 particles are obtained in the light-cone gauge. It is found that they contain 16 independent components for each parton. Their even or odd property is found in terms of a skewness variable, and the odd transversity GPDs vanish in the forward limit. There are 16 amplitudes with helicity flip of quark or gluon. We conclude that all the amplitudes, unpolarized, polarized, and transversity amplitudes, have a common factor F(ζ) carrying all the complex parts. Here, the variable ζ is the helicity difference ζ=(λλ)(μμ) for the amplitude Aλμ,λμ. This kinematical factor is associated with the transfer of the orbital angular momentum in the quark- and gluon-spin-3/2 particle scattering amplitudes. We also derive another main physical quantity, transversity distribution, from the transversity GPDs in the forward limit for the spin-3/2 particles. Published by the American Physical Society 2024

Funder

National Key Research and Development Program of China

National Natural Science Foundation of China

Chinese Academy of Sciences

Japan Society for the Promotion of Science

Southern Center for Nuclear-Science Theory (SCNT), Institute of Modern Physics

Publisher

American Physical Society (APS)

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