ABSTRACT
In principle, the integral equation that determines the nucleon–nucleon T-matrix has 256 elements with respect to the spin indices which renders its numerical calculation extremely complicated. One is therefore interested in introducing a basis which decouples the integral equations for these elements, and makes the two-particle propagators A diagonal. This can be achieved by introducing a complete particle basis made up of baryonantibaryon spinors Φ l B ( k ) https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9780203741719/f8dc2efb-bd0e-481f-aa88-08de0b259621/content/inq9_203_1.tif"/> and Θ l B ( k ) https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9780203741719/f8dc2efb-bd0e-481f-aa88-08de0b259621/content/inq9_203_2.tif"/> respectively [440], where the quantity l = ±1/2 stands for the helicity eigenvalues. We shall denote this helicity basis as { Φ l B , Θ l B } https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9780203741719/f8dc2efb-bd0e-481f-aa88-08de0b259621/content/inq9_203_3.tif"/> . For the baryon spinors we use their Dirac-to-Pauli reduced representation which is of the form [320]
