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PreprintCC BY 4.0arXiv

Hyperfine Structure of B and D Mesons in a QCD-Inspired Potential Model

  • Krishna Kingkar Pathak
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Abstract

We investigate the hyperfine structure of B and D mesons within a QCD-inspired potential model based on the Cornell ansatz. The conventional contact spin--spin term is regularized with a Gaussian smearing to remove the short-distance singularity, and analytic wavefunctions are obtained using the Dalgarno--Lewis perturbative method with the Coulomb part as parent. The numerical study has been extended to include explicit 2S hyperfine predictions and results for the Bc system; these additions probe the stability of the potential parameter space (effective αs, confinement strength and smearing width) for unequal-mass systems and radial excitations. We also present a short sensitivity study of the fixed effective coupling αs and discuss the physical interpretation of the smearing parameter σ. The combined analytic and phenomenological framework provides compact, testable benchmarks for upcoming spectroscopy measurements.

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Cite

BibTeXRIS
BibTeX
@misc{pathak2026hyperfine,
  title = {{Hyperfine Structure of $B$ and $D$ Mesons in a QCD-Inspired Potential Model}},
  author = {Krishna Kingkar Pathak},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.28544},
  eprint = {2609.28544},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.28544},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Hyperfine Structure of B and D Mesons in a QCD-Inspired Potential Model
AU  - Krishna Kingkar Pathak
PY  - 2026
DA  - 2026/09/23
PB  - arXiv
DO  - 10.48550/arxiv.2609.28544
UR  - https://arxiv.org/abs/2609.28544
AB  - We investigate the hyperfine structure of B and D mesons within a QCD-inspired potential model based on the Cornell ansatz. The conventional contact spin--spin term is regularized with a Gaussian smearing to remove the short-distance singularity, and analytic wavefunctions are obtained using the Dalgarno--Lewis perturbative method with the Coulomb part as parent. The numerical study has been extended to include explicit 2S hyperfine predictions and results for the B_c system; these additions probe the stability of the potential parameter space (effective α_s, confinement strength and smearing width) for unequal-mass systems and radial excitations. We also present a short sensitivity study of the fixed effective coupling α_s and discuss the physical interpretation of the smearing parameter σ. The combined analytic and phenomenological framework provides compact, testable benchmarks for upcoming spectroscopy measurements.
ER  -