Elastic and inelastic scattering of 100 MeV protons from the even-even titanium isotopes
The differential cross sections for elastic and inelastic scattering to the first excited (2/sup +/) states of 100 MeV protons from /sup 46,48,50/Ti were measured. The angular ranges covered were 9/sup 0/ to 110/sup 0/ for /sup 46,50/Ti and 9/sup 0/ to 168/sup 0/ for /sup 48/Ti. The elastic scattering data were analyzed with a local optical model potential. The quality of fits to the data covering the smaller angular range (<110/sup 0/) is good for all three isotopes, with chi/sup 2//Napprox.1.5; whereas the fit to the large angle data of /sup 48/Ti (< or approx. =168/sup 0/) is not as satisfactory (chi/sup 2//Napprox.3.75). Various modifications to the Woods-Saxon shape of the real central potential showed no real improvement. Nevertheless, the large angle data appear to favor a slightly sharper falloff in the real central potential near the surface, such as the Woods-Saxon-squared potential. Systematics of the phenomenological optical model potential of 100 MeV protons were studied. The derived volume integrals and rms radii seem to follow the usual A dependence. The isospin dependence of the real potential was also extracted. The mean free paths computed directly from the imaginary potential strength have large uncertainties due to the insensitivity of the data to the central region of the imaginary potential. Distorted-wave Born approximation and coupled-channels Born approximation calculations for the collective excitation of the target nuclei to the first 2/sup +/ states provided deformation parameters, ..beta../sub 2/, in agreement with those from other proton and alpha scattering data and electromagnetic measurements.
- Research Organization:
- Department of Physics and Astronomy, University of Maryland, College Park, Maryland 20742
- OSTI ID:
- 7185161
- Journal Information:
- Phys. Rev. C; (United States), Journal Name: Phys. Rev. C; (United States) Vol. 29:3; ISSN PRVCA
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
A=39-58
Experimental-- Nuclear Reactions & Scattering-- (-1987)
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ANGULAR DISTRIBUTION
ANGULAR MOMENTUM
BARYON REACTIONS
BORN APPROXIMATION
CHARGED-PARTICLE REACTIONS
COUPLED CHANNEL THEORY
CROSS SECTIONS
DATA
DIFFERENTIAL CROSS SECTIONS
DISTRIBUTION
DWBA
ELASTIC SCATTERING
ENERGY LEVELS
ENERGY RANGE
EXPERIMENTAL DATA
HADRON REACTIONS
INELASTIC SCATTERING
INFORMATION
MEV RANGE
MEV RANGE 10-100
NUCLEAR POTENTIAL
NUCLEAR REACTIONS
NUCLEON REACTIONS
NUMERICAL DATA
OPTICAL MODELS
PARITY
PARTICLE PROPERTIES
POTENTIALS
PROTON REACTIONS
SCATTERING
SPIN
TARGETS
TITANIUM 46 TARGET
TITANIUM 48 TARGET
TITANIUM 50 TARGET
WOODS-SAXON POTENTIAL