Semiclassical distorted wave model of nucleon inelastic scattering to continuum

Journal Article · Wed May 01 04:00:00 EDT 1991 · Physical Review, C (Nuclear Physics); (USA)

DOI:https://doi.org/10.1103/PhysRevC.43.2367· OSTI ID:5571250

Luo, Y L; Kawai, M ^[1]

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1. Department of Physics, Kyushu University 33, Fukuoka 812, Japan (JP)

A semiclassical distorted wave model is presented for one-step nucleon inelastic-scattering process leading to the continuous states of residual nucleus. The model is based on semiclassical approximations for the distorted waves and the Thomas-Fermi model of the nuclear states. The squared modulus of the matrix elements of nucleon-nucleon ({ital N}-{ital N}) interaction is substituted by the corresponding {ital N}-{ital N} scattering cross section in the free space. The model gives a closed-form expression with no adjustable free parameter for the double-differential cross section. We apply the model to the proton inelastic scattering from {sup 120}Sn, {sup 197}Au, and {sup 209}Bi at 62 MeV, and {sup 58}Ni at 100 and 164 MeV. Experimental data are reproduced very well at high emission energies except in small- and large-angle regions. The cross sections of the neutron inelastic scattering from {sup 90}Zr,{sup 120}Sn, and {sup 208}Pb at 60 and 160 MeV, for which no experimental data are available, are predicted to be quite similar to the cross sections of the proton inelastic scattering. Calculations are also compared with the exciton model and the multistep direct reaction theory.

• OSTI ID: 5571250
• Journal Information: Physical Review, C (Nuclear Physics); (USA), Journal Name: Physical Review, C (Nuclear Physics); (USA) Vol. 43:5; 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
ANGULAR DISTRIBUTION
ATOMIC MODELS
BARYON REACTIONS
BARYON-BARYON INTERACTIONS
BISMUTH 209 TARGET
CHARGED-PARTICLE REACTIONS
CROSS SECTIONS
DIFFERENTIAL CROSS SECTIONS
DISTORTED WAVE THEORY
DISTRIBUTION
ENERGY RANGE
EVEN-EVEN NUCLEI
GOLD 197 TARGET
HADRON REACTIONS
HADRON-HADRON INTERACTIONS
INELASTIC SCATTERING
INTERACTIONS
INTERMEDIATE MASS NUCLEI
ISOTOPES
LEAD 208 TARGET
MATHEMATICAL MODELS
MATRIX ELEMENTS
MEV RANGE
MEV RANGE 10-100
MEV RANGE 100-1000
NEUTRON REACTIONS
NICKEL 58
NICKEL ISOTOPES
NUCLEAR REACTIONS
NUCLEI
NUCLEON REACTIONS
NUCLEON-NUCLEON INTERACTIONS
PARTICLE INTERACTIONS
PAULI PRINCIPLE
PROTON REACTIONS
SCATTERING
SEMICLASSICAL APPROXIMATION
STABLE ISOTOPES
TARGETS
THOMAS-FERMI MODEL
TIN 120 TARGET
ZIRCONIUM 90 TARGET