Ground state energy shift of charmonium on noncommutative space

Document Type : Full length research Paper

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Abstract

A nonrelativistic model was used to determine the energy shift of low lying states of meson charmonium with respect to the Cornell, Martin, logarithm and global potentials. It is shown that at the lowest order of perturbation, the ground state acquires an energy shift that is proportional to the inverse square of the noncommutative length scale. We estimated an upper bound on noncommutative scale of order 0.397_ 3.021GeV, by using the recent most accurate experimental data on ortho and paracharmonium meson spectra.

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References

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Journal of Research on Many-body Systems
Volume 6, Issue 12
December 2017
Pages 11-14

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History

  • Receive Date: 04 October 2015
  • Revise Date: 16 April 2016
  • Accept Date: 13 June 2016

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