Properties of bottomonium in a semi-relativistic model

被引:5
作者
Bhaghyesh [1 ]
Kumar, K. B. Vijaya [1 ]
机构
[1] Mangalore Univ, Dept Phys, Mangalagangothri 574199, Karnataka, India
关键词
bottomonium; semi-relativistic model; decay rates; RELATIVIZED QUARK-MODEL; HEAVY-QUARK; DECAY; MESONS; CHARMONIUM; SPECTRUM; SYSTEMS;
D O I
10.1088/1674-1137/37/2/023103
中图分类号
O57 [原子核物理学、高能物理学];
学科分类号
070202 ;
摘要
Using a semi-relativistic potential model we investigate the spectra and decays of the bottomonium (b (b) over bar) system. The Hamiltonian of our model consists of a relativistic kinetic energy term, a vector Coulomb-like potential and a scalar confining potential. Using this Hamiltonian, we obtain a spinless wave equation, which is then reduced to the form of a single particle Schrodinger equation. The spin dependent potentials are introduced as a perturbation. The three-dimensional harmonic oscillator wave function is employed as a trial wave function and the b (b) over bar mass spectrum is obtained by the variational method. The model parameters and the wave function that reproduce the the b (b) over bar spectrum are then used to investigate some of their decay properties. The results obtained are then compared with the experimental data and with the predictions of other theoretical models.
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页数:6
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