Multiquark Cluster Form Factors In the Relativistic Harmonic Oscillator Model

TL;DR

This paper uses the relativistic harmonic oscillator potential model to predict electromagnetic form factors of hadrons and nuclei, showing good agreement with experimental data and potential applications in studying multiquark clusters in light nuclei.

Contribution

It introduces the RHOPM to calculate form factors of hadrons and nuclei, providing a new approach to explore multiquark cluster probabilities in light nuclei.

Findings

Good agreement between theoretical predictions and experimental data for pion, proton, and deuteron form factors.

The model can be applied to study neutron properties and multiquark clusters in light nuclei.

Potential to estimate six-quark and nine-quark cluster probabilities in helium and tritium.

Abstract

A QCD multiquark cluster system is studied in the relativistic harmonic oscillator potential model (RHOPM), and the electromagnetic form factors of the pion, proton and deuteron in the RHOPM are predicted. The calculated theoretical results are then compared with existing experimental data, finding very good agreement between the theoretical predictions and experimental data for these three target particles. We claim that this model can be applied to study QCD hadronic properties, particularly neutron properties, and to find six-quark cluster and/or nine-quark cluster probabilities in light nuclei such as helium $^{3}He$ and tritium $^{3}H$. This is a problem of particular importance and interest in quark nuclear physics.