Abstract
A more general form of the Bethe-Salpater wavefunction for a quark-antiquark bound state, in accordance with the spirit of nonrelativistic approximation, is constructed, and the relativistic Salpeter equation is reduced to two 2×2 matrix equations under an instantaneous approximation, which includes not only the contributions comming from a positive energy state but also ones of a negative energy state, and has no anomalous solution.
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Supported by the National Natural Science of Foundation of China (No. 19475029)
Liu Jueping: born in 1945, Professor
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Jueping, L., Xiaoling, C. & Ying, H. A new form for the full Salpeter equation. Wuhan Univ. J. Nat. Sci. 3, 297–303 (1998). https://doi.org/10.1007/BF02829978
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DOI: https://doi.org/10.1007/BF02829978