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Second-order pion-nucleus optical potential

Journal Article · · Phys. Rev., C; (United States)
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The second-order pion-nucleus optical potential is expressed in momentum space in terms of the ..pi..N off-shell t matrix and the NN correlation function. The dependence of the ..pi..N t matrix on the total ..pi..N momentum is determined within the framework of relativistic particle quantum mechanics. Numerical results are presented for ..pi..-/sup 4/He scattering. It is found that the NN correlations tend to decrease the forward elastic cross sections by a factor of about 1.5 at low energy, E/sub ..pi../MeV. At higher energies the main effect of the NN correlations is to increase the differential cross section at large angles. The effect of NN correlations on the total cross section and the pion wave function is also found to be important. A study of the dependence of the calculated cross sections on the range parameters of the ..pi..N t matrix and of the NN correlations suggests that the low-energy pion-nucleus scattering data cannot be adequately described by an optical model constructed from the first- and second-order terms in an expansion in terms of the ..pi..N t matrix.

Research Organization:
Argonne National Laboratory, Argonne, Illinois 60439
OSTI ID:
7093903
Journal Information:
Phys. Rev., C; (United States), Journal Name: Phys. Rev., C; (United States) Vol. 16:1; ISSN PRVCA
Country of Publication:
United States
Language:
English

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Related Subjects

651215* -- Nuclear Properties & Reactions
A=1-5
Theoretical-- Nuclear Reactions & Scattering-- (-1987)
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
CHARGED-PARTICLE REACTIONS
CORRELATION FUNCTIONS
CROSS SECTIONS
DIFFERENTIAL CROSS SECTIONS
ENERGY RANGE
FUNCTIONS
HADRON REACTIONS
HELIUM 4 TARGET
MATRICES
MESON REACTIONS
MEV RANGE
MEV RANGE 10-100
MULTIPLE SCATTERING
NUCLEAR POTENTIAL
NUCLEAR REACTIONS
OPTICAL MODELS
PION REACTIONS
S MATRIX
SCATTERING
TARGETS
TOTAL CROSS SECTIONS
WAVE FUNCTIONS