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Angular distribution functions for the decay of charmonium states directly produced by polarized proton-antiproton collisions

Journal Article · · Physical Review, D (Particles Fields); (United States)
 [1];  [2]
  1. Penn State University at New Kensington, New Kensington, Pennsylvania 15068 (United States)
  2. University of Massachusetts, Lowell, Lowell, Massachusetts 01854 (United States)
We calculate the combined angular distribution functions in the cascade process [ital p[bar p]][r arrow][chi][sub [ital J]][r arrow][psi][gamma][r arrow]([ital e][sup +][ital e][sup [minus]])[gamma] ([ital J]=0,1,2) in terms of the complex angular momentum helicity amplitudes or equivalently in terms of the multipole transition amplitudes in [chi][sub [ital J]][r arrow][psi][gamma], when the proton ([ital p]) and the antiproton ([ital [bar p]]) are both arbitrarily polarized. The results are expressed as a sum over products of linearly independent spherical harmonics. We discuss the results for the special cases when neither particle is polarized, a single particle is polarized, and both particles are polarized. In general, by measuring the angular distributions in polarized [ital p[bar p]] collisions we are not only able to get the magnitudes, but also the relative phases of the decay amplitudes in the process [chi][sub [ital J]][r arrow][psi][gamma] and of the production amplitudes in [ital p[bar p]][r arrow][chi][sub [ital J]].
OSTI ID:
7050482
Journal Information:
Physical Review, D (Particles Fields); (United States), Journal Name: Physical Review, D (Particles Fields); (United States) Vol. 49:11; ISSN PRVDAQ; ISSN 0556-2821
Country of Publication:
United States
Language:
English