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Radiative transitions for the ground and excited charmonia states

Anurag Yadav*, Satyajit Puhan†, and Harleen Dahiya‡

  • *Contact author: anuragyadav1431905@gmail.com
  • †Contact author: puhansatyajit@gmail.com
  • ‡Contact author: dahiyah@nitj.ac.in
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Phys. Rev. D 114, 074047 – Published 21 October, 2026

DOI: https://doi.org/10.1103/jsm8-d14d

Abstract

In this work, we have investigated the physical properties like decay constants, radiative transitions, decay widths, and branching ratios for the ground and radially excited charmonia states. For the numerical calculations, we have adopted the light-front quark model. We have studied χc0→J/ψ+γ and ψ(2S)→χc0+γ, hc(1P)→ηc(1S)+γ, and ηc(2S)→hc(1P)+γ transitions in this work. We have also studied the Q2 dependence of the electric dipole transition form factors (TFFs) for all four transitions and compared them with the available lattice QCD and basis light-front quantization results. Using the TFF results, we have calculated the decay widths and branching ratios for these transitions. The electric dipole matrix element is decomposed into its Lorentz structures and E1(Q2) is extracted from a combination of the longitudinal and transverse plus-current amplitudes canceling the accompanying Coulomb form factor identically. The light-front spin-orbit wave functions of the P-wave states χc0 (P03) and hc (P11) are constructed from the Melosh transformation of the corresponding |(LS)JJz⟩ states, rather than from the S-wave pseudoscalar and vector ones. The charm quark mass and the harmonic scale are fixed by a variational fit to the two 1S masses alone. Our numerical results of decay constants, decay widths, and branching ratios are overall in good agreement with available experimental, theoretical, and lattice simulation data.

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Phys. Rev. D 114, 074047– Published 21 October, 2026
  • Received 17 April 2025
  • Revised 14 September 2026
  • Accepted 6 October 2026
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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.

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