Microscopic s -wave optical potential for slow pions scattered by a nucleus

Journal Article · Fri Sep 01 04:00:00 EDT 1989 · Physical Review (Section) C: Nuclear Physics; (USA)

DOI:https://doi.org/10.1103/PhysRevC.40.1308· OSTI ID:5395265

Garcia-Recio, C ^[1]; Oset, E ^[2]

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1. Center for Theoretical Physics, Laboratory for Nuclear Science Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139 (US)
2. Departamento de Fisica Teorica, Facultad de Ciencias Fisica, Universidad de Valencia, Burjassot, Valencia, Spain

We have done a microscopic calculation of the {ital s}-wave optical potential for the pion-nucleus system at low energies, 0{le}{ital T}{sub {pi}}{le}100 MeV, using a description based on hadronic degrees of freedom. We have obtained, separately, the real and imaginary parts of the optical potential coming from one-body and two-body processes. We have also separated the imaginary part of the potential associated to absorption and to quasielastic channels. We find that the imaginary part of the absorption channel is independent of the energy (within the range of energies considered here) in agreement with a recent empirical determination. We compare our results with phenomenological potentials obtained by fits to the empirical data. The comparison shows a good qualitative agreement. We discuss the dependence of the optical potential on the {pi}{ital N} amplitudes, taken as an input in this model, and we find that a more repulsive isoscalar {pi}{ital N} {ital s}-wave amplitude would provide better consistency between the {pi}-nucleus theoretical results and the {pi}-nucleus data. New experiments to provide more accurate {pi}{ital N} phase shifts at low energies would be welcome.

• OSTI ID: 5395265
• Journal Information: Physical Review (Section) C: Nuclear Physics; (USA), Journal Name: Physical Review (Section) C: Nuclear Physics; (USA) Vol. 40:3; ISSN 0556-2813; ISSN PRVCA
• Country of Publication: United States
• Language: English

Related Subjects

653003* -- Nuclear Theory-- Nuclear Reactions & Scattering
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
CHARGED-PARTICLE REACTIONS
CROSS SECTIONS
DIFFERENTIAL CROSS SECTIONS
ENERGY RANGE
FIELD THEORIES
HADRON REACTIONS
MESON REACTIONS
MEV RANGE
MEV RANGE 01-10
MEV RANGE 10-100
NUCLEAR REACTIONS
OPTICAL MODELS
PARTIAL WAVES
PHASE SHIFT
PION REACTIONS
QUANTUM CHROMODYNAMICS
QUANTUM FIELD THEORY
S WAVES