2011/04/27 by Zhong-Bo Kang, Jacques Soffer
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph
paper · pdf · doi:10.1103/physrevd.83.114020
published as Phys.Rev.D83:114020,2011 · 12 pages, 3 figures, version to be published in Physical Review D
arxiv created 2011/04/27 · openalex publication_date 2011/06/08 · arxiv updated 2011/06/24 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
Positivity constraints, derived initially assuming parity conservation, for the inclusive reaction of the type A(spin1/2)+B(spin1/2)\ensuremath→C+X, where the spins of both initial spin\mathrm\text\ensuremath-1/2 particles can be in any possible directions and no polarization is observed in the final state, are generalized to the case of parity violation. By means of a systematic method, we obtain nontrivial bounds involving all the spin observables of the reaction and we discuss some relevant physics processes. Particularly, we discover a nontrivial positivity constraint for the processes pp\ensuremath→W^\ifmmode±\else\textpm\fi/Z0+X or pp\ensuremath→\ensuremathℓ^\ifmmode±\else\textpm\fi+X where \ensuremathℓ^\ifmmode±\else\textpm\fi decayed from W^\ifmmode±\else\textpm\fi/Z0, which could be checked at the ongoing longitudinal spin program at Relativistic Heavy Ion Collider.