Transverse momentum structure of strange and charmed baryons: a light-front Hamiltonian approach

TL;DR

This paper investigates the transverse-momentum-dependent parton distribution functions of strange and charmed baryons using a light-front Hamiltonian approach, providing insights into their internal spin and momentum structures.

Contribution

It introduces a light-front Hamiltonian method to compute TMDs for $b1$ and $b1_c$ baryons, comparing their spin structures with the proton.

Findings

TMDs for $b1$ and $b1_c$ baryons are calculated using light-front wave functions.

Spin densities of quarks in momentum space are analyzed for different polarizations.

Comparison of strange, charmed baryons, and proton TMDs reveals differences in their internal spin-momentum correlations.

Abstract

Under the basis light-front quantization framework, we investigate the leading-twist transverse-momentum-dependent parton distribution functions (TMDs) for $\Lambda$ and $\Lambda_c$ baryons, the spin-1/2 composite systems consisting of two light quarks ($u$ and $d$) and a $s/c$ quark. We evaluate the TMDs using the overlaps of the light-front wave functions in the leading Fock sector, which are obtained by solving the light-front eigenvalue equation. We also study the spin densities of quarks in momentum space for various polarizations. In the same model, we compare the TMDs of the strange and charmed baryons and the proton by reviewing their spin structures in the quark model and the probabilistic interpretations of their TMDs.