14th Conference on the Intersections of Particle and Nuclear Physics (CIPANP 2022)

A basis approach of heavy quarkonia wavefunctions on light-front

Sep 3, 2022, 2:30 PM

30m

Palm Ballroom 4

Parallel session talk QCD, Hadron Spectroscopy, and Exotics QCD: QCD, Hadron Spectroscopy, and Exotics

Speaker

Guangyao Chen (Jacksonville University)

Description

We construct the light-front wavefunctions (LFWFs) of charmonium and bottomonium states on a small-sized basis function representation. In this work, we modeled the LFWFs for four charmonium states and three bottomonium states, ${\eta }_c$, $J/\psi$, ${\psi }^{\prime }$, and $\psi (3770)$,as well as ${\eta }_b$, $\mathrm{{\rm Y}}$, $\mathrm{{\rm Y}}(2s)$, based on a set of orthonormal basis functions.The basis functions are eigenfunctions of an effective Hamiltonian, which has a longitudinal confining potential in addition to the transverse confining potential from light-front holographic QCD. We employ the experimental measurements of heavy quarkonium decay widths as well as input from NRQCD to determine the basis function parameters and superposition coefficients.
We study the features of those heavy quarkonium states using the obtained wavefunctions, including charge radii and parton distribution functions. Additionally, we use the vector meson LFWF to calculate the meson production in diffractive deep inelastic scattering and ultra-peripheral heavy-ion collisions at LHC, and the ${\eta }_c$ LFWF to calculate its diphoton transition form factor. Both results show agreement with experiments.

Presentation materials

smallbasis.pdf

smallbasis.pptx