Radiative transitions between and heavy quarkonia on the light front
We present calculations of radiative transitions between vector and pseudoscalar quarkonia in the light-front Hamiltonian approach. The valence sector light-front wave functions of heavy quarkonia are obtained from the Basis Light-Front Quantization approach in a holographic basis. We study the transition form factor with both the traditional “good current” J+ and the transverse current $$→\atop{J}_⊥$$ (in particular, JR = Jx + iJy). This allows us to investigate the role of rotational symmetry by considering vector mesons with different magnetic projections (mj = 0 , ± 1 ). We use the mj = 0 state of the vector meson to obtain the transition form factor, since this procedure employs the dominant spin components of the light-front wave functions and is more robust in practical calculations. While the mj = ± 1 states are also examined, transition form factors depend on subdominant components of the light-front wave functions and are less robust. Transitions between states below the open-flavor thresholds are computed, including those for excited states. Comparisons are made with the experimental measurements, as well as with lattice QCD and quark model results. In addition, we apply the transverse current to calculate the decay constant of vector mesons where we obtain consistent results using either mj = 0 or mj = 1 light-front wave functions. This consistency provides evidence for features of rotational symmetry within the model.
- Research Organization:
- College of William and Mary, Williamsburg, VA (United States); Iowa State Univ., Ames, IA (United States); Univ. of North Carolina at Chapel Hill; Univ. of Tennessee, Knoxville, TN (United States)
- Sponsoring Organization:
- USDOE
- Grant/Contract Number:
- FG02-87ER40371; SC0018223; SC0015376; FG02-04ER41302
- OSTI ID:
- 1466449
- Alternate ID(s):
- OSTI ID: 1498960
- Journal Information:
- Physical Review D, Journal Name: Physical Review D Vol. 98 Journal Issue: 3; ISSN 2470-0010
- Publisher:
- American Physical SocietyCopyright Statement
- Country of Publication:
- United States
- Language:
- English
Web of Science
Heavy quarkonia production at energies available at the CERN Large Hadron Collider and future electron-ion colliding facilities using basis light-front quantization wave functions
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journal | August 2019 |
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