Abstract
In this work, we systematically study the and systems with the Bethe-Salpeter equation in the ladder and instantaneous approximations for the kernel. By solving the Bethe-Salpeter equation numerically with the kernel containing the direct and crossed one-particle exchange diagrams and introducing three different form factors (monopole, dipole, and exponential form factors) at the vertices, we find only the isoscalar and systems can exist as bound states. This indicate that the and could be accommodated as and bound states while the bound-state explanations for and are excluded.
- Received 25 December 2021
- Accepted 26 April 2022
DOI:https://doi.org/10.1103/PhysRevD.105.096016
Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.
Published by the American Physical Society