Contact interaction treatment of π and ρ elastic and transition tensor form factors
Abstract
Predictions for tensor charges and form factors, elastic and transition, involving π- and ρ-mesons and their scalar and axialvector diquark partners, are delivered using a symmetry-preserving treatment of a vector*vector contact interaction (SCI). Two distinct SCI regularisation schemes are employed, with the results showing little sensitivity. Although, as typical in SCI analyses, the form factors are stiff; their infrared behaviour may be considered physically reliable. Notable amongst related quantities are the following: the pion tensor charge is approximately $0.36$ and the associated tensor form factor radius is practically the same as the pion charge radius; the ρ-meson tensor charge is roughly 80% of that for the proton; and diquark tensor charges and form factors are semiquantitatively alike with those of their π, ρ partners. In addition to being interesting in themselves, the SCI predictions can serve as baselines for future studies with a closer connection to QCD.
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BibTeX
@misc{guo2026contact,
title = {{Contact interaction treatment of π and ρ elastic and transition tensor form factors}},
author = {Ke-Yu Guo and Ke-Xin Zeng and Xin-Yu Bai and Chen Chen and Craig D. Roberts},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2606.04255},
eprint = {2606.04255},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2606.04255},
}
RIS
TY - UNPB
TI - Contact interaction treatment of π and ρ elastic and transition tensor form factors
AU - Ke-Yu Guo
AU - Ke-Xin Zeng
AU - Xin-Yu Bai
AU - Chen Chen
AU - Craig D. Roberts
PY - 2026
DA - 2026/10/04
PB - arXiv
DO - 10.48550/arxiv.2606.04255
UR - https://arxiv.org/abs/2606.04255
AB - Predictions for tensor charges and form factors, elastic and transition, involving π- and ρ-mesons and their scalar and axialvector diquark partners, are delivered using a symmetry-preserving treatment of a vector*vector contact interaction (SCI). Two distinct SCI regularisation schemes are employed, with the results showing little sensitivity. Although, as typical in SCI analyses, the form factors are stiff; their infrared behaviour may be considered physically reliable. Notable amongst related quantities are the following: the pion tensor charge is approximately $0.36$ and the associated tensor form factor radius is practically the same as the pion charge radius; the ρ-meson tensor charge is roughly 80% of that for the proton; and diquark tensor charges and form factors are semiquantitatively alike with those of their π, ρ partners. In addition to being interesting in themselves, the SCI predictions can serve as baselines for future studies with a closer connection to QCD.
ER -