Tensor-polarized parton distribution functions of the deuteron by a convolution model
Abstract
Tensor-polarized parton distribution functions (PDFs) are calculated for the deuteron by using a convolution formalism, where the tensor-polarized PDFs are given by the corresponding nucleon's unpolarized PDFs convoluted with the tensor-polarized nucleon momentum distribution in the deuteron. These distributions are obtained at Q2=2.5 GeV2 in order to compare with the tensor-polarized PDFs which were determined by HERMES b1 data. The obtained distributions are very different from the ones determined from the HERMES data, which indicates further studies are needed to clarify the difference, possibly by considering a new mechanism beyond the simple bound system of a proton and a neutron. The obtained PDFs $δ_T q $ and δT q̅ are converted to the PDFs of the Trento convention f1LL q and f1LL q̅, and they are used for estimating the twist-3 PDFs fLT q and fLT q̅ by using a Wandzura-Wilczek-like relation. Because deep-inelastic-scattering experiments are under preparation for structure functions with a tensor-polarized deuteron target at the Thomas Jefferson National Accelerator Facility, and a Drell-Yan experiment will be possible at hadron accelerator facilities, such as the Fermi National Accelerator Laboratory, the obtained tensor-polarized PDFs will be tested experimentally.
Related
- Tensor-polarized twist-3 distribution function fLT of spin-1 deuteron
- Tensor-polarized gluon distribution \texorpdfstring{h1TTg}{h1TTg} in the deuteron: QCD evolution and Drell-Yan phenomenology
- Third moments of nucleon unpolarized, polarized, and transversity parton distribution functions from physical-point lattice QCD
- Nuclear structure functions and EMC effect in a relativistic deuteron
- Obtaining tensor-polarized nuclei with spin S≥1 via spin filtering upon nuclear beam transmission through an unpolarized target (spin dichroism effect)
BibTeX
@misc{kumano2026tensorpolarized,
title = {{Tensor-polarized parton distribution functions of the deuteron by a convolution model}},
author = {S. Kumano and Kenshi Kuroki},
howpublished = {arXiv},
year = {2026},
month = nov,
doi = {10.48550/arxiv.2607.09237},
eprint = {2607.09237},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2607.09237},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Tensor-polarized parton distribution functions of the deuteron by a convolution model
AU - S. Kumano
AU - Kenshi Kuroki
PY - 2026
DA - 2026/11/03
PB - arXiv
DO - 10.48550/arxiv.2607.09237
UR - https://arxiv.org/abs/2607.09237
AB - Tensor-polarized parton distribution functions (PDFs) are calculated for the deuteron by using a convolution formalism, where the tensor-polarized PDFs are given by the corresponding nucleon's unpolarized PDFs convoluted with the tensor-polarized nucleon momentum distribution in the deuteron. These distributions are obtained at Q^2=2.5 GeV^2 in order to compare with the tensor-polarized PDFs which were determined by HERMES b_1 data. The obtained distributions are very different from the ones determined from the HERMES data, which indicates further studies are needed to clarify the difference, possibly by considering a new mechanism beyond the simple bound system of a proton and a neutron. The obtained PDFs $δ_T q $ and δ_T q̅ are converted to the PDFs of the Trento convention f_1LL^ q and f_1LL^ q̅, and they are used for estimating the twist-3 PDFs f_LT^ q and f_LT^ q̅ by using a Wandzura-Wilczek-like relation. Because deep-inelastic-scattering experiments are under preparation for structure functions with a tensor-polarized deuteron target at the Thomas Jefferson National Accelerator Facility, and a Drell-Yan experiment will be possible at hadron accelerator facilities, such as the Fermi National Accelerator Laboratory, the obtained tensor-polarized PDFs will be tested experimentally.
ER -