Studying the $D_1D$ molecule in the Bethe-Salpeter equation approach
High Energy Physics - Phenomenology
2020-08-19 v2
Abstract
We study the possible bound states of the system in the Bethe-Salpeter (BS) formalism in the ladder and instantaneous approximations. By solving the BS equation numerically with the kernel containing one-particle exchange diagrams and introducing three different form factors (monopole, dipole, and exponential form factors) at the vertices, we investigate whether the isoscalar and isovector bound states may exist, respectively. We find that could be accommodated as a molecule, whereas the interpretation of as a molecule is disfavored. The bottom analog of may exist but that of does not.
Cite
@article{arxiv.2004.14085,
title = {Studying the $D_1D$ molecule in the Bethe-Salpeter equation approach},
author = {Zhen-Yang Wang and Jing-Juan Qi and Jing Xu and Xin-Heng Guo},
journal= {arXiv preprint arXiv:2004.14085},
year = {2020}
}
Comments
17 pages, 6 figures, and 4 tables