Electromagnetic form factors of Ξc and Ξ′c in lattice QCD

The Standard Model (SM) is the theory to explain the strong, electromagnetic and weak forces and the interactions among all fundamental particles in nature. In order to understand the dynamics of these fundamental forces, there are a number of methods. One of the most successful theories is the Lattice Quantum Chromodynamics (LQCD). The method uses the Lattice Gauge Theory in the theoretical background. Furthermore, the Lattice Quantum Chromodynamics is not based on any approximate or effective model and it uses computational techniques effectively to make calculations. Lattice Gauge Theory is utilized with improvements in computational techniques and high-technology provides golden opportunities to compute the action of Quantum Chromodynamics (QCD) precisely. Electromagnetic form factors provide significant knowledge for understanding composite structure of baryons. Additionally, charmed baryons are an attractive field to investigate fundamental mechanism behind hadron structure. The charmed baryons are compact particles as compared to the proton. In this work, our aim is to compute the electromagnetic form factors of singly charmed Ξc and Ξ′c baryons from 2+1-flavor simulations of QCD. The bound states of two light (up and strange) and one heavy (charm) quark regime is very significant to obtain baryon structure and properties. We define a ratio to calculate the electromagnetic form factor and magnetic moment. We express our results of the mass spectrum of Ξc and Ξ′c as simulated on 163 × 32 lattices. We make the statistical analysis of data. We calculate magnetic moments of charmed baryons and discuss individual contribution of quarks to baryon structure. The magnetic moments of singly charmed baryons are found to be dominantly determined by the light quark contribution in aligned spin state of the light quarks. The role of the charm quark effects are mainly explicit when spins of the light quarks are anti-aligned. Our results also indicate that the singly charmed baryons have compact structure as compared to proton which consists of only light quarks.