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FIZIKA B 14 (2005) 4, 333 - 348
PHENOMENOLOGICAL LOCAL POTENTIAL ANALYSIS OF p+
SCATTERING
S. A. E. KHALLAF and A. A. EBRAHIM
Physics Department, Assiut University, Assiut 71516, Egypt
Received 9 October 2003; Accepted
12 September 2005
Online 16 February 2006
p+-nucleus scattering cross section are calculated by solving a Schrödinger
equation reduced from the Klein-Gordon equation. Local potentials are assumed, and
phenomenological potential parameters are searched energy dependently for p+ scattering from 12C, 40Ca, and 208Pb
to reproduce not only differential elastic cross sections but also inelastic and total and
reaction cross sections at 800 MeV/c pion laboratory momentum. The collective model is
used to calculate the angular distributions of differential inelastic cross sections for
pions leading to the lowest 2+ and 3-
states of 12C. The deformation parameters and lengths are extracted and
compared to the corresponding ones from other works. Local potentials well describe the
scattering of pions from nuclei.
PACS numbers: 24.10.Ht, 25.40.Ny, 25.80.Dj
UDC 539.126
Keywords: p+-nucleus scattering, elastic,
inelastic, differential cross sections, local potentials, collective model, scattering
from 12C, 40Ca, and 208Pb
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