Abstract
We apply matrix Numerov’s method to obtain the radial wave functions; from these wave functions we calculate the root mean square radius rms and β coefficients of bottomonium . The obtained results have implications for decay constants, decay widths and differential cross sections of heavy mesons.
Highlights
Quarkonium in particle physics refers to meson whose constituents are a quark and its own antiquark
The main aim of our work is to study the spectra of heavy mesons and the corresponding wave functions
The normalized radial wave functions for bottomonium mesons are graphically represented in Figures 1-3 respectively
Summary
Quarkonium in particle physics refers to meson whose constituents are a quark and its own antiquark. A number of botommonium properties are well described by the quark model [2]-[8] where mesons have quantum numbers J= L ⊕ S , P = (−1)L+1 and C = (−1)L+S ; L and S are the quantum numbers for the quark-antiquark orbital angular momentum and their net spin angular momentum respectively [9]. The main aim of our work is to study the spectra of heavy mesons and the corresponding wave functions. Bottomonium bb spectra, as an example of heavy meson, are investigated by using matrix Numerov’s method [10] [11] via non-relativistic potential model [12]-[14]. Here we show that the matrix Numerov’s algorithm is a more efficient and fast one to achieve our goal; we hope this approximation gives the reliability features of heavy meson investigation.
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