TY - JOUR
T1 - The πNN bound-state problem
AU - Garcilazo, Humberto
N1 - Funding Information:
’ Work supported in part by the United States Department of Energy under contract No, DE-ASOS-76ERO5223. * On leave from Escuela Superior de Fisica y Matem&icas, Institute Politecnico National, Mexico 14 D.F., Mexico. Present Address: Institut fiir Theoretische Physik, Universitlt Graz, A-8010 Graz, Austria.
PY - 1983/11/7
Y1 - 1983/11/7
N2 - Bound-state solutions for the system composed of a pion and two nucleons are studied, and it is shown that their existence is essentially determined by the range of the πN interaction in momentum space. The relativistic Faddeev equations are solved to search for bound-state solutions of a negative pion and two neutrons, using the newly constructed πN separable potentials that reproduce the phase shift of the P33 channel from 0 to 350 MeV, and realistic NN interactions such as the Reid soft-core, Paris, and Malfliet-Tjon potentials. It is found that bound-state solutions are possible for some of the πN interactions that have very long range in momentum space.
AB - Bound-state solutions for the system composed of a pion and two nucleons are studied, and it is shown that their existence is essentially determined by the range of the πN interaction in momentum space. The relativistic Faddeev equations are solved to search for bound-state solutions of a negative pion and two neutrons, using the newly constructed πN separable potentials that reproduce the phase shift of the P33 channel from 0 to 350 MeV, and realistic NN interactions such as the Reid soft-core, Paris, and Malfliet-Tjon potentials. It is found that bound-state solutions are possible for some of the πN interactions that have very long range in momentum space.
UR - http://www.scopus.com/inward/record.url?scp=30244449125&partnerID=8YFLogxK
U2 - 10.1016/0375-9474(83)90245-2
DO - 10.1016/0375-9474(83)90245-2
M3 - Artículo
SN - 0375-9474
VL - 408
SP - 559
EP - 572
JO - Nuclear Physics, Section A
JF - Nuclear Physics, Section A
IS - 3
ER -