TY - JOUR
T1 - Parity violation asymmetry in nucleon-nucleon scattering
AU - Avishai, Y.
AU - Grangé, P.
N1 - Funding Information:
One of us (Y.A.) would like to thank the joint Israeli-French exchange program and the theoretical physics group at Strasbourg for arranging a visit to CRN on the summer of 1987 when this work has been initiated. We would like to thank the referee for locating several mistakes at an earlier version of this work. This work was supported in part by a grant from the Israeli Academy of Science.
PY - 1989/1/23
Y1 - 1989/1/23
N2 - We evaluate the helicity dependence of the differential and total cross section for the scattering of longitudinally polarized neutrons on unpolarized neutrons at E = 45 MeV following a SIN experiment and at E = 230 MeV in anticipation of an experiment at TRIUMF. (Both experiments study proton-proton scattering of course, namely p+p→p+p). Calculations are based on the Desplanques, Donoghue and Holstein (DDH) theory for the weak NN interaction and on the Paris potential for the strong NN force. The results can be expressed as a linear combination in the (DDH) weak parameters hρ0, hρ2 and hω0, corresponding to exchanges of isoscalar ρ-, isotensor ρ-, and isoscalar ω- mesons, respectively. For the asymmetry in the total cross section we have found, using DDH suggested "best values", Az (45 MeV) = -2.62 × 10-7 and Az (230 MeV) = 0.07 × 10-7. The small value of Az at 230 MeV is due to a sign change in the differential asymmetry. As for the asymmetry in the differential cross section we notice that even at the lower energy E = 45 MeV, the asymmetry in the differential cross section deviates from isotropy, since J > 0 weak amplitudes cannot be neglected.
AB - We evaluate the helicity dependence of the differential and total cross section for the scattering of longitudinally polarized neutrons on unpolarized neutrons at E = 45 MeV following a SIN experiment and at E = 230 MeV in anticipation of an experiment at TRIUMF. (Both experiments study proton-proton scattering of course, namely p+p→p+p). Calculations are based on the Desplanques, Donoghue and Holstein (DDH) theory for the weak NN interaction and on the Paris potential for the strong NN force. The results can be expressed as a linear combination in the (DDH) weak parameters hρ0, hρ2 and hω0, corresponding to exchanges of isoscalar ρ-, isotensor ρ-, and isoscalar ω- mesons, respectively. For the asymmetry in the total cross section we have found, using DDH suggested "best values", Az (45 MeV) = -2.62 × 10-7 and Az (230 MeV) = 0.07 × 10-7. The small value of Az at 230 MeV is due to a sign change in the differential asymmetry. As for the asymmetry in the differential cross section we notice that even at the lower energy E = 45 MeV, the asymmetry in the differential cross section deviates from isotropy, since J > 0 weak amplitudes cannot be neglected.
UR - https://www.scopus.com/pages/publications/45249129352
U2 - 10.1016/0375-9474(89)90524-1
DO - 10.1016/0375-9474(89)90524-1
M3 - Article
AN - SCOPUS:45249129352
SN - 0375-9474
VL - 491
SP - 677
EP - 683
JO - Nuclear Physics A
JF - Nuclear Physics A
IS - 4
ER -