Flavor-Spin Symmetry Estimate of the Nucleon Tensor Charge

Abstract

The axial vector and tensor charge, defined as the first moments of the forward nucleon matrix elements of corresponding quark currents, are essential for characterizing the spin structure of the nucleon. However, the transversity distribution and thus the tensor charge decouple at leading twist in deep inelastic scattering, making them hard to measure. Additionally, the non-conservation of the tensor charge makes it difficult to predict. There are no definitive theoretical predictions for the tensor charge, aside from several model dependent calculations. We present a new approach that exploits the approximate mass degeneracy of the light axial vector mesons ($a_1$(1260), $b_1$(1235) and $h_1$(1170)) and uses pole dominance to calculate the tensor charge. The result is simple in form. It depends on the decay constants of the axial vector mesons and their couplings to the nucleons, along with the average transverse momentum of the quarks in the nucleon.

4 pages, RevTeX

References in corpus (2)

• Generalized parton distributions with helicity flip
• Counting Form Factors of Twist-Two Operators

Cited by in corpus (33)

• Extraction of Quark Transversity Distribution and Collins Fragmentation Functions with QCD Evolution
• First extraction of valence transversities in a collinear framework
• Novel Transversity Properties in Semi-Inclusive Deep Inelastic Scattering
• Nucleon Tensor Charge from Exclusive ${\pi }^o$ Electroproduction
• Nucleon structure from basis light-front quantization
• Transverse Spin Structure of the Nucleon through Target Single Spin Asymmetry in Semi-Inclusive Deep-Inelastic $(e,e^{\prime }{\pi }^{\pm })$ Reaction at Jefferson Lab
• Nucleon tensor charges and electric dipole moments
• Unveiling the nucleon tensor charge at Jefferson Lab: A study of the SoLID case
• A mechanism for the T-odd pion fragmentation function
• Contact-interaction Faddeev equation and, inter alia, proton tensor charges
• Transversity GPD in photo- and electroproduction of two vector mesons
• Observation of Transverse Spin-Dependent Azimuthal Correlations of Charged Pion Pairs in $p^{\uparrow }+p$ at $\sqrt{s}=200$ GeV
• Nucleon matrix elements of the antisymmetric quark tensor
• Tensor charges and form factors of SU(3) baryons in the self-consistent SU(3) chiral quark-soliton model
• Tensor charges of light baryons in the Infinite Momentum Frame
• One-loop corrections to omega photoproduction near threshold
• Regge phenomenology of pion photoproduction off the nucleon at forward angles
• Experimental constraint on quark electric dipole moments
• Transversity distributions and tensor charges of the nucleon: extraction from dihadron production and their universal nature
• First simultaneous global QCD analysis of dihadron fragmentation functions and transversity parton distribution functions
• Nucleon tensor form factors induced by isovector and isoscalar currents in QCD
• Tensor form factors of nucleon in QCD
• Collinear parton distributions and the structure of the nucleon sea in a light-front meson-cloud model
• Electron-Ion Collider impact study on the tensor charge of the nucleon
• Tensor form factors of the octet hyperons in QCD
• Second-class current effects from isospin breaking in tau-->omega pi nu_tau
• Hadron Spin Dynamics
• Role of scalar mesons in the beam asymmetry of $p\bar{p}$ and $\Lambda \bar{\Lambda }$ photoproduction at JLab
• Isovector and isoscalar tensor form factors of $N(1535)\to N$ transition in light-cone QCD
• Nucleon matrix elements and baryon masses in the Dirac orbital model
• Probing Transversity GPDs in Photo and Electroproduction of Two Vector Mesons
• Flavor-Spin Symmetry and the Tensor Charge
• New ways to access the transverse spin content of the nucleon