Abstract
We present recent studies on the transverse spin densities of the pion and nucleon within the framework of the chiral quark-(soliton) model, based on the calculation of the electromagnetic and tensor form factors of the pion and the nucleon. The results for the transverse spin densities of the quark inside a pion are in good agreement with the recent lattice data, while those of the nucleon show similar features to the lattice results. We also present the first results of the transverse spin densities of the strange quark inside a nucleon.
Highlights
The transversity of hadrons unveils a novel structure of quarks inside hadrons
The QCDSF/UKQCD Collaborations has carried out the first lattice calculation of the transverse spin structure of the nucleon [10]
In order to compare their results with the lattice ones, they used a larger value of the pion mass, i.e. mπ = 600 MeV such that the results can be confronted with the lattice data
Summary
The transversity of hadrons unveils a novel structure of quarks inside hadrons. Recently, the transverse spin asymmetry ATT of Drell-Yan processes in pp reactions provides valuable information on the transversity of the nucleon [1,3,2,4]. The QCDSF/UKQCD Collaborations has carried out the first lattice calculation of the transverse spin structure of the nucleon [10]. Though the transversity of the pion is even less known than that of the nucleon, it has been studied by the QCDSF/UKQCD Collaborations [11], combining the electromagnetic form factor of the pion with its tensor form factor. In order to compare their results with the lattice ones, they used a larger value of the pion mass, i.e. mπ = 600 MeV such that the results can be confronted with the lattice data. They considered the case of the chiral limit. We will employ the value of 420 MeV with which almost all properties of the nucleon and hyperons were successfully described [23]
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