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The solution to the ‘1/2 vs 3/2’ puzzle

The solution to the ‘1/2 vs 3/2’ puzzle

Abstract Using an almost complete relativistic method based on the Bethe–Salpeter equation, we study the mixing angle $$\theta $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>θ</mml:mi> </mml:math> , the mass splitting $$\bigtriangleup M$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mo>△</mml:mo> <mml:mi>M</mml:mi> </mml:mrow> </mml:math> , the strong decay widths $$\Gamma (D^{({\prime })}_1)$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>Γ</mml:mi> <mml:mo>(</mml:mo> <mml:msubsup> …