The Calculate of binding energy and wave function of tetraquark bbss from lattice QCD potential with analytically approach

Document Type : Full length research Paper

Authors

1 Department of Physics, Faculty of science, University of Kashan, Kashan, Iran

2 Department of Physics, Faculty of Science, University of Kashan, Iran

3 Department of Physics, Faculty of Science, University of Kashan, Kashan, Iran

Abstract

In this paper, Tetraquark is considered as a bound state of 4-quark systems containing two
heavy-heavy antiquarks and two light-light quarks ss. Tetraquark is also assumed as a 2-body
system consisting of two mesons; each containing a light quark and a heavy quark. BornOppenheimer approximation could be employed due to the mesons’ heavy weight. Hence, the
Schrödinger equation may be solved by replacing the ensuing potential from lattice QCD. Having
solved the equations, the binding energy and tetraquark wave function are then obtained in scalar
ss channel. Finally, obtained values for binding energy are compared with those reported in the
literature, and considering the wave function diagrams for the particle, its tetraquark radius is
estimated.

Keywords

Main Subjects

References

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Journal of Research on Many-body Systems
Volume 9, Issue 4 - Serial Number 23
February 2020
Pages 77-85

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History

  • Receive Date: 27 June 2018
  • Revise Date: 21 September 2019
  • Accept Date: 28 December 2019

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