Radiative decays in bottomonium beyond the long wave length approximation

Abstract

We revisit the nonrelativistic quark model description of electromagnetic radiative decays in bottomonium. We show that even for the simplest spectroscopic quark model the calculated widths can be in good agreement with data once the experimental masses of bottomonium states and the photon energy are properly implemented in the calculation. For transitions involving the lower lying spectral states this implementation can be easily done via the Long Wave Length approximation. For transitions where this approximation does not apply we develop a new method of implementing the experimental energy dependencies.

arXiv comment28 pages, 7 tables

References in corpus (15)

• QCD forces and heavy quark bound states
• Mesons with Beauty and Charm: Spectroscopy
• Quarkonia and their transitions
• Charmonium levels near threshold and the narrow state $X(3872) \to π^{+}π^{-}\jpsi$
• Bottomonium spectrum revisited
• Interpretation of the X(3872) as a charmonium state plus an extra component due to the coupling to the meson-meson continuum
• Higher mass bottomonia
• Quark structure of the $X(3872)$ and ${\chi }_b(3P)$ resonances
• Radiative transitions of heavy quarkonium states
• The $l=1$ Hyperfine Splitting in Bottomium as a Precise Probe of the QCD Vacuum.
• Electric dipole transitions of $1P$ bottomonia
• Generalized screened potential model
• A plausible explanation of ${\rm Y}(10860)$
• Charmonium description from a generalized screened potential model
• Quark model description of $\psi (4260)$

Cited by in corpus (1)

• Radiative decays in charmonium beyond the p/m approximation