Transversity generalized parton distributions in spin-3/2 particles

Abstract

The definitions of the quark and gluon transversity generalized parton distributions (GPDs) in spin-3/2 particles are obtained in the light-cone gauge. It is found that they contain 16 independent components for each parton. Their even or odd property is found in terms of skewness variable, and the odd transversity GPDs vanish in the forward limit. There are 16 amplitudes with helicity flip of quark or gluon. We conclude that all the amplitudes, unpolarized, polarized, and transversity amplitudes, have a common factor $F(\zeta )$ carrying all the complex part. Here, the variable $\zeta$ is the helicity difference $\zeta =({\lambda }^{\prime }-\lambda )-({\mu }^{\prime }-\mu )$ for the amplitude ${\mathcal{A}}_{{\lambda }^{\prime }{\mu }^{\prime },\lambda \mu }$. This kinematical factor is associated with the transfer of the orbital angular momentum in the quark- and gluon-spin-3/2 particle scattering amplitudes. We also derive another main physical quantity, transversity distribution, from the transversity GPDs in the forward limit for the spin-3/2 particles.

arXiv comment22 pages, 2 figures

References in corpus (42)

• Gauge-Invariant Decomposition of Nucleon Spin and Its Spin-Off
• Wave Functions, Evolution Equations and Evolution Kernels from Light-Ray Operators of QCD
• Generalized Parton Distributions
• Deeply Virtual Compton Scattering
• Fragmentation of Transversely Polarized Quarks Probed in Transverse Momentum Distributions
• Nonforward Parton Distributions
• Electric dipole moments as probes of new physics
• Scaling Limit of Deeply Virtual Compton Scattering
• Off-Forward Parton Distributions
• Transverse Polarisation of Quarks in Hadrons
• Electron-Ion Collider in China
• Asymmetric Gluon Distributions and Hard Diffractive Electroproduction
• First Measurement of the Transverse Spin Asymmetries of the Deuteron in Semi-Inclusive Deep Inelastic Scattering
• Generalized parton correlation functions for a spin-1/2 hadron
• Generalized parton distributions with helicity flip
• Measurement of Azimuthal Asymmetries in Inclusive Production of Hadron Pairs in e+e- Annihilation at \sqrt{s} = 10.58 GeV
• Nucleon form factors, generalized parton distributions and quark angular momentum
• Generalized parton distributions in the deuteron
• Hadron tomography by generalized distribution amplitudes in pion-pair production process ${\gamma }^{\ast }\gamma \to {\pi }^0{\pi }^0$ and gravitational form factors for pion
• Helicity-Flip Off-Foward Parton Distributions of the Nucleon
• The Quark Spin Distributions of the Nucleon
• Study of ${\pi }^0$ pair production in single-tag two-photon collisions
• Transversity quark distributions in a covariant quark-diquark model
• Pionic and Hidden-Color, Six-Quark Contributions to the Deuteron b1 Structure Function
• Single diffractive hard exclusive processes for the study of generalized parton distributions
• Covariant multipole expansion of local currents for massive states of any spin
• Accessing proton generalized parton distributions and pion distribution amplitudes with the exclusive pion-induced Drell-Yan process at J-PARC
• Exclusive production of a pair of high transverse momentum photons in pion-nucleon collisions for extracting generalized parton distributions
• Unveiling the nucleon tensor charge at Jefferson Lab: A study of the SoLID case
• Proton tensor charges from a Poincaré-covariant Faddeev equation
• New explicit expressions for Dirac bilinears
• A quark model analysis of the transversity distribution
• Pion Generalized Parton Distributions within a fully covariant constituent quark model
• Novel two-to-three hard hadronic processes and possible studies of generalized parton distributions at hadron facilities
• $\rho$ meson unpolarized generalized parton distributions with a light-front constituent quark model
• Transversity generalized parton distributions for the deuteron
• Chiral Odd Structure Functions from a Chiral Soliton
• Gluon transversity in polarized proton-deuteron Drell-Yan process
• Chiral-odd transversity spin structure function $h_1(x)$ of the nucleon in a constituent quark model
• Generalized parton distributions in spin-3/2 particles
• Hard exclusive neutrino production of a light meson
• Generalized parton distributions of $\Delta$ resonance in a diquark spectator approach

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