English

Stress out of charmonia

High Energy Physics - Phenomenology 2024-08-20 v3 Nuclear Theory

Abstract

We investigate the gravitational form factors of charmonium. Our method is based on a Hamiltonian formalism on the light front known as basis light-front quantization. The charmonium mass spectrum and light-front wave functions were obtained from diagonalizing an effective Hamiltonian that incorporates confinement from holographic QCD and one-gluon exchange interaction from light-front QCD. We proposed a quantum many-body approach to construct the hadronic matrix elements of the energy momentum tensor T++T^{++} and T+T^{+-}, which are used to extract the gravitational form factors A(Q2)A(Q^2) and D(Q2)D(Q^2). The obtained form factors satisfy the known constraints, e.g. von Laue condition. From these quantities, we also extract the energy, pressure and light-front energy distributions of the system. We find that hadrons are multi-layer systems.

Keywords

Cite

@article{arxiv.2404.06259,
  title  = {Stress out of charmonia},
  author = {Siqi Xu and Xianghui Cao and Tianyang Hu and Yang Li and Xingbo Zhao and James P. Vary},
  journal= {arXiv preprint arXiv:2404.06259},
  year   = {2024}
}

Comments

19 pages, 9 figures; published in PRD under the title: Gravitational form factors of charmonia; Corrected a few typos in Table I