Quarkonium and hydrogen spectra with spin-dependent relativistic wave equation |
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Authors: | V H Zaveri |
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Institution: | 1.Sion, Mumbai,India |
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Abstract: | The non-linear non-perturbative relativistic atomic theory introduces spin in the dynamics of particle motion. The resulting
energy levels of hydrogen atom are exactly the same as that of Dirac theory. The theory accounts for the energy due to spin-orbit
interaction and for the additional potential energy due to spin and spin-orbit coupling. Spin angular momentum operator is
integrated into the equation of motion. This requires modification to classical Laplacian operator. Consequently, the Dirac
matrices and the k operator of Dirac’s theory are dispensed with. The theory points out that the curvature of the orbit draws on certain amount
of kinetic and potential energies affecting the momentum of electron and the spin-orbit interaction energy constitutes a part
of this energy. The theory is developed for spin-1/2 bound state single electron in Coulomb potential and then extended further
to quarkonium physics by introducing the linear confining potential. The unique feature of this quarkonium model is that the
radial distance can be exactly determined and does not have a statistical interpretation. The established radial distance
is then used to determine the wave function. The observed energy levels are used as the input parameters and the radial distance
and the string tension are predicted. This ensures 100% conformance to all observed energy levels for the heavy quarkonium. |
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Keywords: | |
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