2016/01/31 by Tianhong Wang, Hui-Feng Fu, Yue Jiang +2
Physics and Astronomy · #Amplitude #Annihilation #Atomic and Molecular Physics #Excited state #Formalism (music) #Mass spectrum #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #Quarkonium #Spectral line #Wave function #hep-ex #hep-ph
paper · pdf · doi:10.1142/s0217751x1750035x
published as Int. J. Mod. Phys. A 32 (2017) Nos. 6&7, 1750035 · 12 pages, 4 figures, 2 tables
openalex created_date 2016/06/24 · arxiv created 2016/09/16 · openalex publication_date 2017/03/01 · arxiv updated 2021/11/05 · openalex updated_date 2026/08/05
We calculate the annihilation decay rates of the [Formula: see text] and [Formula: see text] charmonia and bottomonia by using the instantaneous Bethe–Salpeter (BS) method. The wave functions of states with quantum numbers [Formula: see text] and [Formula: see text] are constructed. By solving the corresponding instantaneous BS equations, we obtain the mass spectra and wave functions of the quarkonia. The annihilation amplitude is written within Mandelstam formalism and the relativistic corrections are taken into account properly. This is important, especially for high excited states, since their relativistic corrections are large. The results for the [Formula: see text] channel are as follows: [Formula: see text] keV, [Formula: see text] keV, [Formula: see text] keV and [Formula: see text] keV.