Energy-independent separable potentials for the pion-nucleon P 33 channel
1982; American Institute of Physics; Volume: 26; Issue: 4 Linguagem: Inglês
10.1103/physrevc.26.1761
ISSN1538-4497
AutoresH. Garcilazo, Leopold Mathelitsch, B. J. VerWest,
Tópico(s)High-Energy Particle Collisions Research
ResumoWe have constructed three rank-one energy-independent separable potentials for the pion-nucleon ${P}_{33}$ channel which reproduce the scattering volume and phase shift up to 350 MeV. The amplitudes were calculated from these potentials using the Blankenbecler-Sugar equation approach and are appropriate for relativistic three-body calculations of the $\ensuremath{\pi}\mathrm{NN}$ system. An interesting feature of resulting potentials is the appearance of two very different ranges in each. The low-momentum parts of the different potentials are essentially the same but there are significant differences in their high-momentum behavior. Information from $\mathrm{NN}$ pion-production supports the two-range feature of these potentials and favors one of the potentials over the others.NUCLEAR REACTIONS $N(\ensuremath{\pi}, \ensuremath{\pi})N$; separable potentials for ${P}_{33}$ channel; calculated $\ensuremath{\delta}(E)$, $E=0\ensuremath{-}350$ MeV.
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