Quark-model relations among TMDs in the parton model
Abstract
The covariant parton model (CPM) is a consequent application of the parton model concept to the nucleon structure. In this model, there is a choice to put quarks either in a pure-spin state or in a mixed-spin state. We show that the mixed-spin version of the CPM does not support the quark-model relations among transverse momentum dependent parton distributions (TMDs) which were shown to hold in a large class of quark models. One can enforce the quark-model relations to be valid in the CPM by imposing a condition which is equivalent to putting the quarks in a pure-spin state. This gives a complementary perspective on the connection of the pure- and mixed-spin state CPM versions, and provides a fresh view on the question whether the quark-model relations could be realized in QCD as "approximate relations" with some useful numerical accuracy.
Cite
@article{arxiv.2209.02355,
title = {Quark-model relations among TMDs in the parton model},
author = {F. Aslan and S. Bastami and A. Mahabir and A. Tandogan and P. Schweitzer},
journal= {arXiv preprint arXiv:2209.02355},
year = {2022}
}
Comments
v1: 10 pages. v2: reformatted, 11 pages