Variational Estimation of the Wave Function at Origin for Heavy Quarkonium 1

Yi-Bing Dinga,b,c,d, Xue-Qian Lie,a,c, Peng-Nian Shenf,a,


Abstract

The wave function at the origin (WFO) is an important quantit y in studying many physical problems concerning heavy quarkonia. However, when one used the variational method with fewer parameters, in general, the deviation of resultant WFO from the ”accurate” solution was not well estimated. In this paper, we discuss this issue by employing several potential forms and trial wave functions in detail and study the relation between WFO and th e reduced mass.

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https://arxiv.org/pdf/hep-ph/9808264.pdf