TY - JOUR
T1 - Connected kernel equations for the coupled πNNN-NNN systems
AU - Avishai, Y.
AU - Mizutani, T.
N1 - Funding Information:
This work is supported in part by the German Bundesministerium ffir Forschung und Technologie.
PY - 1983/2/7
Y1 - 1983/2/7
N2 - Starting from a realistic hamiltonian describing the system of three nucleons and a pion, we have derived for the first time a set of integral equations for the coupled πNNN-NNN system. Specifically, the disconnected structure originating from the explicit consideration of the absorption and emission of the pion by nucleons, which is outside the scope of the ordinary many-body potential scattering theories, has been carefully studied. The final equations thus found, have connected kernels, respect time-reversal invariance and should allow one to study various processes like 3He-π± elastic scattering, pd → 3He-π-, pd → NNN etc. in a unified and unitary manner.
AB - Starting from a realistic hamiltonian describing the system of three nucleons and a pion, we have derived for the first time a set of integral equations for the coupled πNNN-NNN system. Specifically, the disconnected structure originating from the explicit consideration of the absorption and emission of the pion by nucleons, which is outside the scope of the ordinary many-body potential scattering theories, has been carefully studied. The final equations thus found, have connected kernels, respect time-reversal invariance and should allow one to study various processes like 3He-π± elastic scattering, pd → 3He-π-, pd → NNN etc. in a unified and unitary manner.
UR - http://www.scopus.com/inward/record.url?scp=0001070098&partnerID=8YFLogxK
U2 - 10.1016/0375-9474(83)90151-3
DO - 10.1016/0375-9474(83)90151-3
M3 - Article
AN - SCOPUS:0001070098
VL - 393
SP - 429
EP - 468
JO - Nuclear Physics A
JF - Nuclear Physics A
SN - 0375-9474
IS - 3
ER -