The description of polarization analyzing powers for three-body breakup reactions

Vector analyzing powers of the deuteron-proton elastic scattering and breakup at 100 MeV

“…After normalization, the rates of events N ξ P (N ξ 0 ) for the selected polarization state P (unpolarized beam) and a kinematical point ξ = (θ 1 , θ 2 , ϕ 12 , S) were obtained as a function of an angle φ (definition of an angle φ and overall convention as in ref. [64], see also ref. [42]).…”

“…(2)). Applying the formulae for the yield of the three-body breakup reaction induced by vector and tensor polarized spin-1 particles [64], f ξ P (φ) can be written in Cartesian coordinates as…”

“…which, when including indications resulting from the parity conservation rules [64], can be expressed as…”

Vector and tensor analyzing powers in deuteron-proton breakup at 130 MeV

“…1, some terms of the general formula given in Ref. [32] vanish, leading to a simpler dependence of I (ξ ) The laboratory system (x , y , z ), with z along the beam momentum direction (p d ) and y vertically upward, is used to define the angular configuration of the outgoing protons (with momenta p 1 and p 2 ). The reaction coordinate system is defined according to Ref.…”

“…The reaction coordinate system is defined according to Ref. [32], with z along the beam momentum direction and x obtained by projection of p 1 onto the plane perpendicular to z. The angle φ is defined as the angle between the y axis and the spin quantization axis s, which in the studied case is vertical (parallel to y ).…”