zhangyang
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If I want to calculate a decay of excited nucleons,sometimes I must treat the spin 3/2 field operator.
If I use CG coefficient method, for example
http://arxiv.org/abs/hep-ph/0210164 (page 3,the third equation)
But it is a result,not the starting.The thought looks like a synthesis between a vector particle and a spinor one.But how about the expension of original field operator in momentum space into annihilation and creation operators?We will see a direct product of two ladder operator?But the CG coefficient must has its status,so the summation rule of polarization vector and Dirac spinor must be very complicated,is there any established work?
If I use CG coefficient method, for example
http://arxiv.org/abs/hep-ph/0210164 (page 3,the third equation)
But it is a result,not the starting.The thought looks like a synthesis between a vector particle and a spinor one.But how about the expension of original field operator in momentum space into annihilation and creation operators?We will see a direct product of two ladder operator?But the CG coefficient must has its status,so the summation rule of polarization vector and Dirac spinor must be very complicated,is there any established work?