Polarization analysis of two baryons with various spin combinations produced in electron-positron annihilation

We develop a systematic approach to analyze polarization correlations of two baryons <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"><a:msub><a:mi>B</a:mi><a:mn>1</a:mn></a:msub><a:msub><a:mover accent="true"><a:mi>B</a:mi><a:mo stretchy="false">¯</a:mo></a:mover><a:mn>2</a:mn></a:msub></a:math> produced in the electron-positron annihilation process. With spin density matrices for arbitrary spin particles established in the standard, the Cartesian, and the helicity forms, we provide analyses of polarization correlations for two baryons with various spin combinations. This framework can be applied to determine the spin and the parity of excited baryons, and therefore offers opportunities for the investigation of baryon spectrum and transition form factors in present and future electron-positron annihilation experiments.