https://doi.org/10.1140/epjc/s10052-020-8319-6
Regular Article - Theoretical Physics
Mass spectra of heavy pseudoscalars using instantaneous Bethe–Salpeter equation with different kernels
1
Department of Physics, Hebei University, Baoding, 071002, China
2
Key Laboratory of High-Precision Computation and Application of Quantum Field Theory of Hebei Province, Baoding, China
* e-mail: gl_wang@hit.edu.cn
Received:
29
June
2020
Accepted:
1
August
2020
Published online:
11
August
2020
We solved the instantaneous Bethe–Salpeter equation for heavy pseudoscalars in different kernels, where the kernels are obtained using linear scalar potential plus one gluon exchange vector potentials in Feynman gauge, Landau gauge, Coulomb gauge and time-component Coulomb gauge. Since we cannot give a complete QCD-based calculation, the results are gauge dependent. We compared the obtained mass spectra of heavy pseudoscalars between different kernels, found that using the same parameters we obtain the smallest mass splitting in time-component Coulomb gauge, the similar largest mass splitting in Feynman and Coulomb gauges, middle size splitting in Landau gauge.
© The Author(s), 2020
