Relativistic Two-body Wave Equation and the Short-range Interaction of Quarkonium

  • The Feynman-Hellmann theorem widely used in nonrelativistic quantum mechanics is applied to relativistic two-body wave equations from which we obtain the meson mass formula It is shown that wave equations considered here are unable to describe the short-range interaction of quarkonium reasonably.
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  • [1] H. W. Crater and P. V. Alstine, Phys, Rev., D37(1988), 1982[2] D. P. Stanley and D. Robson, Phys. Rev., D21(1980), 3180; S. Godftey and N. Isgur, Phys.Rev., D32(1985), 189.[3] D. D. Brayshow, Phys. Rev., D36(1987), 1465.[4] C. Quigg and J. L. Rosner, Phys, Rev., 56(1979), 167.[5] D. B. Lichtenberg, phys. Rev., D40(1989), 4196.[6] W. Lucha and F. F. Schoberl, Phys. Rev. Lett., 64(1990), 2733.[7] J. Richardson, Phys. Lett., 82B(1979), 272.
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LUO Zhen-Fei and QIU Xi-Jun. Relativistic Two-body Wave Equation and the Short-range Interaction of Quarkonium[J]. Chinese Physics C, 1991, 15(10): 953-955.
LUO Zhen-Fei and QIU Xi-Jun. Relativistic Two-body Wave Equation and the Short-range Interaction of Quarkonium[J]. Chinese Physics C, 1991, 15(10): 953-955. shu
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Received: 1900-01-01
Revised: 1900-01-01
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Relativistic Two-body Wave Equation and the Short-range Interaction of Quarkonium

    Corresponding author: LUO Zhen-Fei,
  • Shanghai Institute of Nuclear Research,Academia Sinica,201800

Abstract: The Feynman-Hellmann theorem widely used in nonrelativistic quantum mechanics is applied to relativistic two-body wave equations from which we obtain the meson mass formula It is shown that wave equations considered here are unable to describe the short-range interaction of quarkonium reasonably.

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