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Calculating the Relativistic Wave Functions of 11S0 and 13S1 Positronium
Authors:QIN Gan WAN Shao-Long HAN Rong-Dian WANG Ke-Lin
Affiliation:CCAST (World Laboratory), P.O. Box 8730, Beijing 100080, China Department of Astronomy and Applied Physics, University of Science and Technology of China, Hefei 230026, Chinat Department of Astronomy and Applied Physics, University of Science and Technology of China, Hefei 230026, Chinat Department of Modern Physics, University of Science and Technology of China, Hefei 230026, China Department of Astronomy and Applied Physics, University of Science and Technology of China, Hefei 230026, Chinat
Abstract:Based cn the relativistic Bethe-Salpeter (BS) equation, the positronium wavefunctions in Euclidean momentum space are obtained. Meanwhile the energy levels of positronium ground states 11S0 and 13S1 are fitted to be 6.7934 eV and 6.7929 eV respectively, which qualitatively agree with the previous theoretical values. It is shown that the BS theory is valid and reliable to treat positronium.
Keywords:positronium   Bethe-Salpeter equation
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