Mixing effects on spectroscopy and partonic observables of heavy mesons with logarithmic confining potential in a light-front quark model

Journal Article · 11 November 2024 · Physical Review. D.

DOI: https://doi.org/10.1103/PhysRevD.110.094021 · OSTI ID:2477083

Pandya, Bhoomika ; Gurjar, Bheemsehan ; Chakrabarti, Dipankar ; Choi, Ho-Meoyng ; Ji, Chueng-Ryong

Using the variational principle, we systematically investigate the mass spectra and wave functions of both $1S$ and $2S$ state heavy pseudoscalar ( $P$ ) and vector ( $V$ ) mesons within the light-front quark model. This approach incorporates a Coulomb plus logarithmic confinement potential to accurately describe the constituent quark and antiquark dynamics. Additionally, spin hyperfine interactions are introduced perturbatively to compute the masses of pseudoscalar and vector mesons. The present analyses of the $1S$ and $2S$ states require the consideration of mixing between them to account for empirical constraints. These constraints include the mass gap $\mathrm{\Delta }{M}_P>\mathrm{\Delta }{M}_V$ , where $\mathrm{\Delta }{M}_{P\left(V\right)}=M_{P\left(V\right)}^{2S}-M_{P\left(V\right)}^{1S}$ and the hierarchy of the decay constants $f_{1S}>f_{2S}$ . We find the optimal value of the mixing angle to be $\theta =18°$ , significantly enhancing the consistency between our spectroscopic predictions and the experimental data compiled by the Particle Data Group. Furthermore, based on the predicted mass, the newly observed resonance $B_J\left(5840\right)$ could be assigned as a $2^1{S}_0$ state in the $B$ meson family. The study also reports various pertinent observables, including twist-two distribution amplitudes, electromagnetic form factors, charge radii, $\xi$ moments, and transition form factors that are found to be consistent with both available lattice simulations and experimental data. In addition, our predicted branching ratios for the channels of $B^{+}\to {\tau }^{+}{\nu }_{\tau }$ as well as rare decays of $B^0$ and $B_s^0$ appear in accordance with experimental data. Published by the American Physical Society 2024

• Sponsoring Organization: USDOE
• Grant/Contract Number: FG02-03ER41260; SC0023646; AC02-05CH11231
• OSTI ID: 2477083
• Journal Information: Physical Review. D., Journal Name: Physical Review. D. Journal Issue: 9 Vol. 110; ISSN PRVDAQ; ISSN 2470-0010
• Publisher: American Physical SocietyCopyright Statement
• Country of Publication: United States
• Language: English