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Chiral-odd generalized parton distributions of spin-1/2 baryons

Navpreet Kaur, Monika Randhawa, Harleen Dahiya

TL;DR

This work addresses the relatively unexplored chiral-odd generalized parton distributions of spin-1/2 baryons by computing the four leading-twist distributions $H_T$, $E_T$, $\tilde{H}_T$, and $\tilde{E}_T$ using a diquark spectator model in light-front dynamics at zero skewness $\xi=0$. An asymmetric frame with momenta $P$ and $P'$ is employed, modeling the baryon as a quark plus spectator diquark in scalar and axial-vector channels with light-cone wave functions $\psi^{\lambda}_{\lambda_q}$ and $\psi^{\lambda}_{\lambda_q \lambda_{\mathfrak{a}}}$ and a mixing angle $\theta$. Numerical results for the $u$-quark GPDs in the proton, $\Sigma^+$, and $\Xi^0$ reveal that $\tilde{E}_T(x,0,t)=0$ at $\xi=0$, while flavor structure drives differences in $H_T$ and in the combination $E_T+2\tilde{H}_T$, with $\Xi^0$ generally showing smaller magnitudes and lower-$x$ peaks; increasing $-t$ suppresses the distributions and shifts peaks to higher $x$, more rapidly for the proton. The study provides tomographic insights into baryon transverse-spin structure and offers flavor-sensitive predictions to guide future experiments and lattice studies.

Abstract

We present the tomographical structure of baryons by studying the nonforward matrix elements of lightlike correlation functions of the tensor current. At the leading twist, with the tensor current, four chiral-odd distributions are in count. We calculate these distributions in a diquark spectator model with light-front formalism by considering purely transverse momentum transfer, i.e., zero skewness. Predictions for the nucleons and light hyperons are studied, emphasizing the difference arising from their different quark flavors.

Chiral-odd generalized parton distributions of spin-1/2 baryons

TL;DR

This work addresses the relatively unexplored chiral-odd generalized parton distributions of spin-1/2 baryons by computing the four leading-twist distributions , , , and using a diquark spectator model in light-front dynamics at zero skewness . An asymmetric frame with momenta and is employed, modeling the baryon as a quark plus spectator diquark in scalar and axial-vector channels with light-cone wave functions and and a mixing angle . Numerical results for the -quark GPDs in the proton, , and reveal that at , while flavor structure drives differences in and in the combination , with generally showing smaller magnitudes and lower- peaks; increasing suppresses the distributions and shifts peaks to higher , more rapidly for the proton. The study provides tomographic insights into baryon transverse-spin structure and offers flavor-sensitive predictions to guide future experiments and lattice studies.

Abstract

We present the tomographical structure of baryons by studying the nonforward matrix elements of lightlike correlation functions of the tensor current. At the leading twist, with the tensor current, four chiral-odd distributions are in count. We calculate these distributions in a diquark spectator model with light-front formalism by considering purely transverse momentum transfer, i.e., zero skewness. Predictions for the nucleons and light hyperons are studied, emphasizing the difference arising from their different quark flavors.
Paper Structure (3 sections, 6 equations, 2 figures)

This paper contains 3 sections, 6 equations, 2 figures.

Table of Contents

  1. Introduction
  2. Formalism
  3. Results and Discussions

Figures (2)

  • Figure 1: Comparison of chiral odd GPDs $H_T(x,\xi,t)$ as a function of longitudinal momentum fraction $x$ at fixed transverse momentum transfer (a) $-t=0$ (GeV$^2$), (b) $-t=0.5$ (GeV$^2$) and (c) $-t=1$ (GeV$^2$) for $u$ quark flavor of proton, $\Sigma^+$, and $\Xi^0$.
  • Figure 2: Comparison of chiral odd GPDs $E_T(x,\xi,t)+2 \tilde{H}_T(x,\xi,t)$ as a function of longitudinal momentum fraction $x$ at fixed transverse momentum transfer (a) $-t=0$ (GeV$^2$), (b) $-t=0.5$ (GeV$^2$) and (c) $-t=1$ (GeV$^2$) for $u$ quark flavor of proton, $\Sigma^+$, and $\Xi^0$.