Elastic and inelastic scattering of 100 MeV protons from the even-even titanium isotopes
Using two high purity Ge crystals and a magnetic spectrometer, the differential cross sections for 100 MeV proton elastic and inelastic scattering to the first excited (2/sup +/) states from /sup 46/ /sup 48/ /sup 50/Ti, were measured. Cross sections as low as 10/sup -33/ cm/sup 2//Sr were extracted. The angular ranges covered are 9/sup 0/ to 110/sup 0/ for /sup 46/ /sup 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 (OMP). The quality of fits to the data covering the smaller angular range (<110/sup 0/) was good for all 3 isotopes: chi/sup 2//N approx. 1.5; whereas the fit to the large angle data of /sup 48/Ti (less than or equal to 168/sup 0/) was not as satisfactory (chi/sup 2//N approx. 3.75), primarily due to the poor fit at angles larger than 135/sup 0/. Various modifications to the shape of the real central potential and the incorporation of an exchange potential of the Majorana type affect the cross section prediction but show no real improvement in the fit at large angles. In particular, the minimum at approx. 155/sup 0/ was not reproduced. Nevertheless, the large angle data appear to favor a slightly sharper fall-off in the real central potential near the surface. DWBA and coupled-channels Born approximation (CCBA) calculations for the collective excitation of the target to the first 2+ state were compared with the inelastic scattering data. The resulting quadrupole deformation parameters ..beta../sub 2/, or the deformation lengths, ..beta..R, were compared with those from other proton and alpha scattering data, and electromagnetic measurement. The agreement among the different measurements is satisfactory.
- Research Organization:
- Maryland Univ., Baltimore (USA)
- OSTI ID:
- 6259369
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
A=39-58
Theoretical-- Nuclear Reactions & Scattering-- (-1987)
651525* -- Nuclear Properties & Reactions
A=39-58
Experimental-- Nuclear Reactions & Scattering-- (-1987)
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
BARYON REACTIONS
BORN APPROXIMATION
CHARGED-PARTICLE REACTIONS
COLLECTIVE EXCITATIONS
COUPLED CHANNEL BORN APPROXIMATION
CROSS SECTIONS
DATA
DIFFERENTIAL CROSS SECTIONS
DWBA
ELASTIC SCATTERING
ENERGY RANGE
ENERGY-LEVEL TRANSITIONS
EXCITATION
EXPERIMENTAL DATA
HADRON REACTIONS
INELASTIC SCATTERING
INFORMATION
MEV RANGE
MEV RANGE 10-100
NUCLEAR REACTIONS
NUCLEON REACTIONS
NUMERICAL DATA
OPTICAL MODELS
PROTON REACTIONS
SCATTERING
TARGETS
TITANIUM 46 TARGET
TITANIUM 48 TARGET
TITANIUM 50 TARGET