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Twist-4 proton GTMDs in the light-front quark–diquark model

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Abstract

By integrating across the light-cone energy, totally unintegrated, off-diagonal quark–quark generalized parton correlation functions can yield generalized transverse-momentum dependent parton distributions (GTMDs). We have obtained the twist-4 GTMDs for the case of proton in the light-front quark–diquark model. We have decoded the quark–quark GTMD correlator for proton and solved the parametrization equations for Dirac matrix structure at twist-4. We have derived the explicit equations of GTMDs for the diquark being scalar or vector leading to the results for the struck quark being a u or d quark. Being a multidimensional function, the dependence is studied with two variables at a time, keeping the others fixed. Transverse-momentum dependent form factors have been obtained from GTMDs via integration over the longitudinal momentum fraction x of the quark. We have debated over the possibility to specify the initial and final state polarizations of the smacked quark and the nucleon in twist-4 GTMDs as well as the Wigner distributions. Additionally, from twist-4 GTMDs, we have deduced the twist-4 T-even TMDs and found its synchronization with the already published results.

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Data availability statement

This manuscript has no associated data or the data will not be deposited. [Authors’ comment: Since this is a theoretical work, there is no data to be deposited. All the results and calculations have been included in the ms.]

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Acknowledgements

H.D. would like to thank the Science and Engineering Research Board, Department of Science and Technology, Government of India through the grant (Ref No.TAR/2021/000157) under TARE scheme for financial support.

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  1. Department of Physics, Dr. B. R. Ambedkar National Institute of Technology, Jalandhar, 144008, India

    Shubham Sharma & Harleen Dahiya

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  1. Shubham Sharma
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Correspondence to Harleen Dahiya.

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Communicated by Eulogio Oset.

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Sharma, S., Dahiya, H. Twist-4 proton GTMDs in the light-front quark–diquark model. Eur. Phys. J. A 59, 235 (2023). https://doi.org/10.1140/epja/s10050-023-01156-8

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