Local optical model calculations have been carried out for elastic and inelastic scattering of π ± from 40,42,44,48 Ca and 54 Fe at pion energies atop, above and below the resonance. The elastic studies resulted in considerable ambiguities in the parameter values. Using the best-fit parameters, zero-range DWBA calculations have been carried out for inelastic scattering of π ± leading to the lowest 2 + and 3 − states of these nuclei. Transition strengths extracted from inelastic scattering, compared with known values, remove the ambiguity found for elastic scattering, making the simple model useful for other reaction studies with pions.
The 209Bi(p,d) 208Bi reaction has been studied with 42 MeV protons. The laboratory angles are 25°, 30°, and 35°. Energy spectra have been calculated theoretically as an incoherent sum of many shell-orbits constituents based on the Distorted-Wave Born Approximation (DWBA). An asymmetric Lorentzian form strength response function having energy-dependent spreading width is adopted in this analysis. The calculated deuteron energy spectrum is reasonably well reproduced in the direct reaction region. The agreement between the experiment and the calculated double differentials cross-sections up to all experimental points is reasonable and satisfactory, thereby yielding confidence in the theoretical models used.
J. Bangladesh Acad. Sci. 45(2); 197-203: December 2021
Angular distribution data for the inelastic scattering of
pions on top and on either side of the Δ
resonance from 40,42,44,48Ca and 54Fe are
studied within the framework of the zero-range
distorted wave born approximately
(DWBA) method using parameters of the local optical model,
and the corresponding deformation
parameters are also extracted.
The double differential cross-section for the 58Ni(p,d)57Ni reaction has been studied with 68 MeV protons for the 25o, 30o, 35o, 45o, and 60o laboratory angles. The spectra have been calculated using DWBA-based cross-sections including an asymmetric form of the Lorentzian strength function containing energy-dependent spreading widths. The comparison between the measured spectra and the theoretical predictions is accomplished in the direct reaction region. The values of the calculated double differential cross-sections agree with those of the measured cross-sections as far as ~17 MeV deuteron excitation energies; the ejectile deuterons-energy for direct reactions at 68 MeV proton energy.
J. Bangladesh Acad. Sci. 46(1); 57-63: June 2022
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