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Perturbed energy eigenvalues of the Salpeter equation in the oscillator-representation method

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Il Nuovo Cimento A (1971-1996)

Summary

On the basis of the oscillator-representation method, we obtain the energy eigenvalue formulae upto the second order in the perturbation Hamiltonian for the 1S-6S, 1P, 2P, 1D and 2D states of the heavy quarkonia. The application of the formulae to the 1S-6S states in the linear confining potential suggests that we cannot neglect the effect of the relativistic kinetic terms on the energy eigenvalues in the excited states of the charmonia.

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Authors and Affiliations

  1. Department of Physics, Meiji-Gakuin University, 244-8539, Totsuka, Yokohama, Japan

    C. Itoh

  2. Department of Physics, Tokyo University of Mercantile Marine, 135-8533, Etchujima, Tokyo, Japan

    T. Minamikawa

  3. Department of Physics, Nippon Ika University, 211-0063, Kawasaki, Japan

    K. Miura

  4. Department of Physics, Asia University, 180-8629, Musasino, Tokyo, Japan

    T. Watanabe

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  1. C. Itoh
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  2. T. Minamikawa
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  3. K. Miura
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  4. T. Watanabe
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Itoh, C., Minamikawa, T., Miura, K. et al. Perturbed energy eigenvalues of the Salpeter equation in the oscillator-representation method. Il Nuovo Cimento A (1971-1996) 112, 205–224 (1999). https://doi.org/10.1007/BF03035843

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  • DOI: https://doi.org/10.1007/BF03035843

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PACS 12.39.Ki

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