Speaker
Meijian Li
(Iowa State University)
Description
We present calculations of radiative transitions between vector and pseudoscalar quarkonia in the light-front Hamiltonian
approach. The light-front wavefunctions of heavy quarkonia are obtained from the Basis Light-Front Quantization (BLFQ) approach
in a holographic basis. We study the transition form factor with both the traditionally used ``good current'' $J^+=J^0+J^z$ and the transverse current
$J^R=J^x+i J^y$. This allows us to investigate the role of rotational symmetry by considering vector mesons with different magnetic
projections ($m_j=0,\pm 1$). We use the longitudinally polarized state ($m_j=0$) of the vector meson to obtain the transition form factor,
since this procedure employs the dominant
components of the light-front wavefunctions and is more robust in practical calculations. While the transverse
polarizations ($m_j=\pm 1$) are also examined, transition form factors depend on the subdominant components of the light-front
wavefunctions and are less robust in consequnce.
In addition, we apply the transverse current to calculate the decay constant of vector mesons where we obtain consistent results between $m_j=0$ and
$m_j=1$. This consistency provides evidence for features of rotational symmetry within the model.
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.
Primary author
Meijian Li
(Iowa State University)
Co-authors
Prof.
James Vary
(Iowa State University)
Dr
Pieter Maris
(Iowa State University)
Dr
Yang Li
(College of William & Mary)
