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Study of the two-nucleon mechanism of pion absorption in nuclei

Journal Article · · Ann. Phys. (N.Y.); (United States)
; ;
The two-nucleon mechanism of pion absorption by nuclei is investigated in the energy region of the ..pi..NP/sub 33/..lambda..-resonance. The basic absorption process is governed by a ..pi..NNbold-arrow-left-rightN..delta..bold-arrow-left-rightNN transition matrix, derived from the phenomenological Hamiltonian of M. Betz and T.-S. H. Lee (Phys. Rev. C23 (1981), 375), which was constructed to describe NN scattering phase-shift up to 1 GeV. The model allows a realistic description of pion absorption on a pair of bound nucleons with quantum numbers and relative radial wave functions different from those of the physical deuteron. The deuteron-like /sup 3/S/sub 1/(T = 0) pairs are shown to play a privileged role, in accordance with the assumption underlying the conventional quasi-deuteron model. We then embed the two-nucleon mechanism into complex nuclei, using the impulse approximation. The many-body effects on the two-body absorption mechanism are analyzed in detail by using the Faddeev wavefunction for /sup 3/He and harmonic oscillator shell-model wavefunction for 1p-shell target nuclei in our calculations. All nonlocal effects owing to nucleon Fermi motion and N..delta.. off-shell propagation are treated rigorously. The main features of (..pi../sup +/,p) reactions on /sup 3/He, /sup 4/He, and /sup 12/C are predicted correctly, when large pion distortion effects are taken into account by using the isobar-hole model with all of the parameters predetermined from earlier studies of pion nucleus scattering.
Research Organization:
Natuarkundig Laboratorium der Vrije Universiteit, Amsterdam, The Netherlands
OSTI ID:
6443980
Journal Information:
Ann. Phys. (N.Y.); (United States), Journal Name: Ann. Phys. (N.Y.); (United States) Vol. 163:2; ISSN APNYA
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)
651315 -- Nuclear Properties & Reactions
A=6-19
Theoretical-- Nuclear Reactions & Scattering-- (-1987)
653003* -- Nuclear Theory-- Nuclear Reactions & Scattering
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
BARYON RESONANCES
BARYONS
CAPTURE
CARBON 12 TARGET
CHARGED-PARTICLE REACTIONS
CROSS SECTIONS
DELTA-1236 RESONANCES
ELEMENTARY PARTICLES
ENERGY RANGE
EQUATIONS
FADDEEV EQUATIONS
FERMIONS
FUNCTIONS
GREEN FUNCTION
HADRON REACTIONS
HADRON-HADRON INTERACTIONS
HADRONS
HAMILTONIANS
HELIUM 3 TARGET
HELIUM 4 TARGET
IMPULSE APPROXIMATION
INTERACTIONS
MANY-BODY PROBLEM
MATHEMATICAL OPERATORS
MESON REACTIONS
MESON-BARYON INTERACTIONS
MEV RANGE
MEV RANGE 100-1000
N RESONANCES
NUCLEAR REACTIONS
NUCLEONS
OXYGEN 16 TARGET
PARTICLE INTERACTIONS
PION REACTIONS
PION-DEUTERON INTERACTIONS
PROTONS
QUANTUM OPERATORS
RESONANCE PARTICLES
TARGETS
WAVE FUNCTIONS