Calculation of Wave Function at the Origin (WFO) for Heavy Mesons by Numerical Solving of the Schrodinger Equation
Many recent high energy physics calculations
involving charm and beauty invoke wave function at the origin
(WFO) for the meson bound state. Uncertainties of charm and beauty
quark masses and different models for potentials governing these
bound states require a simple numerical algorithm for evaluation of
the WFO's for these bound states. We present a simple algorithm for
this propose which provides WFO's with high precision compared
with similar ones already obtained in the literature.
[1] C. Quigg and J. L. Rosner,, Phys. Rep. 56 , 1979, pp. 167.
[2] J. H. Kuhn, J. Kaplan and E. G. O. Safiani, Nucl. Phys. B157, 1979, pp.
125; B. Gubrina, et al., Nucl. Phys. B174, 1980, pp. 137.
[3] P. A. Rapidis et al., Phys. Rev. Lett. 39, 1977, pp. 526.
[4] J. J. Aubert et al., Phys. Rev. Lett. 33, 1974, pp.1404.
[5] S. W. Herb et al., Phys. Rev. Lett. 39, 1977, pp. 252.
[6] E. J. Eichten and C. Quigg, Phys. Rev. D49, 1994, PP. 5845.
[7] Y. B. Ding, X. Q. Li and D. N. Shem, Phys. Rev. D60, 1999.
[8] S. E. Koonin and D. C. Meredit, " Computational Physics , Fortran
Version", Addison-Wesley, 1990.
[9] A. Martin, Phys. Lett. B93, 1980, PP. 338.
[10] C. Quigg and J. L. Rosner, Phys. Lett. B71, 1977, pp. 153.
[11] E. J. Eichten and C. Quigg, Phys. Rev. D52, 1995, PP. 1726.
[1] C. Quigg and J. L. Rosner,, Phys. Rep. 56 , 1979, pp. 167.
[2] J. H. Kuhn, J. Kaplan and E. G. O. Safiani, Nucl. Phys. B157, 1979, pp.
125; B. Gubrina, et al., Nucl. Phys. B174, 1980, pp. 137.
[3] P. A. Rapidis et al., Phys. Rev. Lett. 39, 1977, pp. 526.
[4] J. J. Aubert et al., Phys. Rev. Lett. 33, 1974, pp.1404.
[5] S. W. Herb et al., Phys. Rev. Lett. 39, 1977, pp. 252.
[6] E. J. Eichten and C. Quigg, Phys. Rev. D49, 1994, PP. 5845.
[7] Y. B. Ding, X. Q. Li and D. N. Shem, Phys. Rev. D60, 1999.
[8] S. E. Koonin and D. C. Meredit, " Computational Physics , Fortran
Version", Addison-Wesley, 1990.
[9] A. Martin, Phys. Lett. B93, 1980, PP. 338.
[10] C. Quigg and J. L. Rosner, Phys. Lett. B71, 1977, pp. 153.
[11] E. J. Eichten and C. Quigg, Phys. Rev. D52, 1995, PP. 1726.
@article{"International Journal of Engineering, Mathematical and Physical Sciences:49604", author = "M. Momeni Feyli", title = "Calculation of Wave Function at the Origin (WFO) for Heavy Mesons by Numerical Solving of the Schrodinger Equation", abstract = "Many recent high energy physics calculations
involving charm and beauty invoke wave function at the origin
(WFO) for the meson bound state. Uncertainties of charm and beauty
quark masses and different models for potentials governing these
bound states require a simple numerical algorithm for evaluation of
the WFO's for these bound states. We present a simple algorithm for
this propose which provides WFO's with high precision compared
with similar ones already obtained in the literature.", keywords = "Mesons, Bound states, Schrodinger equation, Nonrelativistic
quark model.", volume = "4", number = "11", pages = "1401-4", }