We investigate the unequal-mass relativistic bound-state system, the Bc mesons, in a light-front Hamiltonian formalism. We adopt an effective Hamiltonian based on soft-wall light-front holography, together with a longitudinal confinement that was first introduced for heavy quarkonium. We also include the one-gluon-exchange interaction with a running coupling, which produces the spin structure. We present the mass spectrum and light-front wave functions. We also use the light-front wave functions to calculate decay constants, charge and momentum densities, as well as distribution amplitudes. The results are compared with experiments and other theoretical approaches, all of which are in reasonable agreement.
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We wish to thank Shaoyang Jia, Meijian Li, Wenyang Qian, and Anji Yu for valuable discussions. We also thank Dr. Zhigang Wang for clarifying the result from the QCD sum rule that we quote in Table . P. Maris thanks the Fundação de Amparo à Pesquisa do Estado de São Paulo for support under Grant No. 2017/19371-0. This work was supported in part by the U.S. Department of Energy under Grants No. DE-FG02-87ER40371, No. DE-SC0018223 (SciDAC-4/NUCLEI), No. DE-SC0015376 (DOE Topical Collaboration in Nuclear Theory for Double-Beta Decay and Fundamental Symmetries), and DE-FG02-04ER41302. Computational resources were provided by the National Energy Research Supercomputer Center, which is supported by the Office of Science of the U.S. Department of Energy under Contract No. DE-AC02-05CH11231.