Calculation of Wave Function at the Origin (WFO) for the Ground State of Doubly Heavy Mesons Based On the Variational Method

Authors: Maryam Momeni Feili, Mahvash Zandy Navgaran

Abstract:

The wave function at the origin is an important quantity in studying many physical problems concerning heavy quarkonia. This is because that it is using for calculating spin state hyperfine splitting and also crucial to evaluating the production and decay amplitude of the heavy quarkonium. In this paper, we present the variational method by using the single-parameter wave function to estimate the WFO for the ground state of heavy mesons.

Keywords: Wave function at the origin, heavy mesons, bound states, variational method, non-relativistic quark model, potential model, trial wave function.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1329801

References:

[1] S. J. Collins, T. D. Imbo, B. A. King and E. C. Martell, Phys. Lett. B393, 155 (1997).
[2] E. J. Eichten and C. Quigg, Phys. Rev. D52, 1726 (1995).
[3] Y. B. Ding, X. Q. Li and P. N. Shen, arXiv: hep-ph/9808264V1 (1998).
[4] E. J. Eichten, K. Gottfried, T. Kinoshita, K. D. Lane and T. M. Yan, Phys. Rev. D21, 203 (1980).
[5] A. Martin, Phys. Lett. B93, 338 (1980).
[6] C. Quigg and J. L. Rosner,, Phys. Lett. B71, 153 (1977).
[7] S. N. Gupta, S. F. Radford and W. W. Repko, Phys. Rev. D26, 3305 (1982).
[8] N. Zettili, Quantum Mechanics: Concepts and Applications, Copyright┬®2001 by John Wiley and Sons, Ltd, England.