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Title: Radiative transitions between 0 - + and 1 - - heavy quarkonia on the light front

Abstract

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, J R = J x + iJ y). This allows us to investigate the role of rotational symmetry by considering vector mesons with different magnetic projections (m j = 0 , ± 1 ). We use the m j = 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 m j = ± 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 m j = 0 or m j = 1 light-front wave functions. This consistency provides evidence for features of rotational symmetry within the model.

Authors:
 [1];  [2];  [1];  [1]
  1. Iowa State Univ., Ames, IA (United States). Dept. of Physics and Astronomy
  2. College of William and Mary, Williamsburg, VA (United States). Dept. of Physics
Publication Date:
Research Org.:
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 Org.:
USDOE
OSTI Identifier:
1466449
Alternate Identifier(s):
OSTI ID: 1498960
Grant/Contract Number:  
FG02-04ER41302; FG02-87ER40371; SC0015376; SC0018223
Resource Type:
Published Article
Journal Name:
Physical Review D
Additional Journal Information:
Journal Volume: 98; Journal Issue: 3; Journal ID: ISSN 2470-0010
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 73 NUCLEAR PHYSICS AND RADIATION PHYSICS

Citation Formats

Li, Meijian, Li, Yang, Maris, Pieter, and Vary, James P. Radiative transitions between 0-+ and 1-- heavy quarkonia on the light front. United States: N. p., 2018. Web. doi:10.1103/physrevd.98.034024.
Li, Meijian, Li, Yang, Maris, Pieter, & Vary, James P. Radiative transitions between 0-+ and 1-- heavy quarkonia on the light front. United States. doi:10.1103/physrevd.98.034024.
Li, Meijian, Li, Yang, Maris, Pieter, and Vary, James P. Wed . "Radiative transitions between 0-+ and 1-- heavy quarkonia on the light front". United States. doi:10.1103/physrevd.98.034024.
@article{osti_1466449,
title = {Radiative transitions between 0-+ and 1-- heavy quarkonia on the light front},
author = {Li, Meijian and Li, Yang and Maris, Pieter and Vary, James P.},
abstractNote = {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.},
doi = {10.1103/physrevd.98.034024},
journal = {Physical Review D},
number = 3,
volume = 98,
place = {United States},
year = {2018},
month = {8}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
DOI: 10.1103/physrevd.98.034024

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Cited by: 5 works
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