Semi-inclusive production of spin-3/2 hadrons in deep inelastic scattering

Fuente: arXiv
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Autori principali: Zhao, Jing, Zhang, Zhe, Liang, Zuo-tang, Liu, Tianbo, Zhou, Ya-jin
Natura: Preprint
Pubblicazione: 2024
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author Zhao, Jing
Zhang, Zhe
Liang, Zuo-tang
Liu, Tianbo
Zhou, Ya-jin
author_facet Zhao, Jing
Zhang, Zhe
Liang, Zuo-tang
Liu, Tianbo
Zhou, Ya-jin
contents We investigate the production of spin-3/2 hadrons in semi-inclusive deep inelastic lepton-nucleon scatterings. The complete differential cross section is derived through the kinematic analysis and expressed in terms of 288 structure functions, corresponding to all polarization configurations and azimuthal modulations. For an unpolarized lepton beam, half of the 192 structure functions have nonzero leading order contributions in the parton model, among which 42 are from rank-3 tensor polarized fragmentation functions of the hadron. For a polarized lepton beam, one third of the 96 structure functions contribute at the leading order and 14 of them are from rank-3 tensor polarized fragmentation functions. In addition to the formalism, we perform a model estimation of the spin transfer to a $S_{hLLL}$ polarized hadron and sizable asymmetry is expected. Therefore, these newly defined observables for the production of a spin-3/2 hadron in a deep inelastic scattering process can be explored in future experiments to understand nucleon spin structures and spin-dependent fragmentation functions.
format Preprint
id arxiv_https___arxiv_org_abs_2401_10031
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Semi-inclusive production of spin-3/2 hadrons in deep inelastic scattering
Zhao, Jing
Zhang, Zhe
Liang, Zuo-tang
Liu, Tianbo
Zhou, Ya-jin
High Energy Physics - Phenomenology
We investigate the production of spin-3/2 hadrons in semi-inclusive deep inelastic lepton-nucleon scatterings. The complete differential cross section is derived through the kinematic analysis and expressed in terms of 288 structure functions, corresponding to all polarization configurations and azimuthal modulations. For an unpolarized lepton beam, half of the 192 structure functions have nonzero leading order contributions in the parton model, among which 42 are from rank-3 tensor polarized fragmentation functions of the hadron. For a polarized lepton beam, one third of the 96 structure functions contribute at the leading order and 14 of them are from rank-3 tensor polarized fragmentation functions. In addition to the formalism, we perform a model estimation of the spin transfer to a $S_{hLLL}$ polarized hadron and sizable asymmetry is expected. Therefore, these newly defined observables for the production of a spin-3/2 hadron in a deep inelastic scattering process can be explored in future experiments to understand nucleon spin structures and spin-dependent fragmentation functions.
title Semi-inclusive production of spin-3/2 hadrons in deep inelastic scattering
topic High Energy Physics - Phenomenology
url https://arxiv.org/abs/2401.10031