Tensor properties of the nucleon

TL;DR

This paper presents calculations of the tensor properties of the nucleon using the chiral quark-soliton model, providing insights into tensor charges and magnetic moments and comparing them with lattice QCD results.

Contribution

The study offers new theoretical predictions of nucleon tensor form factors and magnetic moments within the chiral quark-soliton model, extending previous work with detailed flavor decomposition.

Findings

Flavor tensor charges: δu=1.08, δd=-0.31, δs=-0.01

Anomalous tensor magnetic moments: κ_T^u=3.56, κ_T^d=1.83

Strange tensor magnetic moment near zero, κ_T^s≈0

Abstract

We report in the present talk recent results of the tensor properties of the nucleon within the framework of the chiral quark-soliton model. The tensor and anomalous tensor magnetic form factors are calculated for the momentum transfer up to $Q^{2}\leq1\,\mathrm{GeV}^{2}$ and at a renormalization scale of $0.36\,\mathrm{GeV}^{2}$. The main results are summarized as follows: the flavor tensor charges of the nucleon are yielded as $\delta u=1.08$, $\delta d=-0.31$, $\delta s=-0.01$, while the up and down anomalous tensor magnetic moments are evaluated as $\kappa_{T}^{u}=3.56$ and $\kappa_{T}^{d}=1.83$, respectively. The strange anomalous tensor magnetic moment turns out to be $\kappa_{T}^{s}=0.2\sim -0.2$, compatible with zero. We discuss their physical implications, comparing them in particular with those from the lattice QCD.