ABSTRACT

In this chapter we describe the partial-wave decomposition of the q-space one-boson-exchange interaction as well as of the scattering matrix. Since the nucleon matrix elements (5.151) are invariant under Lorentz transformations, we perform the partial-wave expansions in the center-of-mass system. The Pauli helicity spinors of a baryon B in its initial and ∣l 2〉) and final ( | l ′ 1 〉 https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9780203741719/f8dc2efb-bd0e-481f-aa88-08de0b259621/content/inq10_220_1.tif"/> and | l ′ 2 〉 https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9780203741719/f8dc2efb-bd0e-481f-aa88-08de0b259621/content/inq10_220_2.tif"/> ) states can then be represented as