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Title: Microscopic description of {sup 4}He + {sup 4}He elastic scattering over the energy range E=100-280 MeV

Abstract

Analysis of the differential cross sections for {sup 4}He +{sup 4}He elastic scattering is performed within the framework of the double-folding optical model. Two appropriate effective nucleon-nucleon interactions are employed to generate the {alpha}-{alpha} folded real potentials. The obtained potentials in conjunction with phenomenological Woods-Saxon (WS) derivative imaginary potentials are used to investigate six sets of the elastic scattering data through the energy range 100-280 MeV. Successful reproduction of the data is obtained by both considered interactions. In addition, real phenomenological potentials expressed in a squared WS form are successfully used to reproduce these data.

Authors:
 [1]
  1. Physics Department, Assiut University, Assiut 71516 (Egypt)
Publication Date:
OSTI Identifier:
20864221
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. C, Nuclear Physics; Journal Volume: 74; Journal Issue: 6; Other Information: DOI: 10.1103/PhysRevC.74.064616; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; ALPHA REACTIONS; DIFFERENTIAL CROSS SECTIONS; ELASTIC SCATTERING; ENERGY DEPENDENCE; HELIUM 4; HELIUM 4 TARGET; MEV RANGE; NUCLEON-NUCLEON INTERACTIONS; OPTICAL MODELS; WOODS-SAXON POTENTIAL

Citation Formats

El-Azab Farid, M. Microscopic description of {sup 4}He + {sup 4}He elastic scattering over the energy range E=100-280 MeV. United States: N. p., 2006. Web. doi:10.1103/PHYSREVC.74.064616.
El-Azab Farid, M. Microscopic description of {sup 4}He + {sup 4}He elastic scattering over the energy range E=100-280 MeV. United States. doi:10.1103/PHYSREVC.74.064616.
El-Azab Farid, M. Fri . "Microscopic description of {sup 4}He + {sup 4}He elastic scattering over the energy range E=100-280 MeV". United States. doi:10.1103/PHYSREVC.74.064616.
@article{osti_20864221,
title = {Microscopic description of {sup 4}He + {sup 4}He elastic scattering over the energy range E=100-280 MeV},
author = {El-Azab Farid, M.},
abstractNote = {Analysis of the differential cross sections for {sup 4}He +{sup 4}He elastic scattering is performed within the framework of the double-folding optical model. Two appropriate effective nucleon-nucleon interactions are employed to generate the {alpha}-{alpha} folded real potentials. The obtained potentials in conjunction with phenomenological Woods-Saxon (WS) derivative imaginary potentials are used to investigate six sets of the elastic scattering data through the energy range 100-280 MeV. Successful reproduction of the data is obtained by both considered interactions. In addition, real phenomenological potentials expressed in a squared WS form are successfully used to reproduce these data.},
doi = {10.1103/PHYSREVC.74.064616},
journal = {Physical Review. C, Nuclear Physics},
number = 6,
volume = 74,
place = {United States},
year = {Fri Dec 15 00:00:00 EST 2006},
month = {Fri Dec 15 00:00:00 EST 2006}
}
  • A partial-wave analysis of elastic {sup 4}He{sup 4}He scattering is performed in the energy range 40-50 MeV.
  • A partial-wave analysis of elastic {sup 4}He{sup 4}He scattering is performed in the energy range 40-50 MeV.
  • An efficient method for construction of an analytic {ital S} matrix from experimental data based on the use of the statistical Pade approximation is proposed. The method is applied to the energy-dependent phase-shift analysis of the elastic scattering of deuterons by alpha particles in the energy range 0.87{lt}{ital E}{sub {ital d}}{lt}5.24 MeV, and partial-wave phase shifts for {ital l}=0,1,2 are obtained. In addition, the energies and widths of the three known {sup 6}Li resonances are obtained, together with the energy of the {sup 6}Li bound state and the vertex constant of the virtual decay {sup 6}Li{r arrow}{sup 2}H+{sup 4}He.
  • Measurements have been made of the p + /sup 4/He elastic scattering angular distributions at T = 21.85, 23.90, 25.75, 28.10, 30.35, 32.15, 34.25, 36.90, 39.75, 42.45, 44.05, 44.95, and 47.65 MeV in the angular range 10/sup 0/ < or approx. = theta/sub c.m./ < or approx. = 170/sup 0/. The data obtained have in general relative errors smaller than 2%, while the absolute scale of the measurements has an uncertainty of less than 2.5%. These data together with differential cross sections and analyzing power angular distributions elected from the literature, as well as total reaction cross section information havemore » been subjected to a phase shift analysis. Up to 45 MeV a single, continuous solution could be determined using phase shifts up through G-waves. As in an earlier phase shift analysis the phase shifts exhibit a smooth variation with energy except for the well-known resonance region around 23.4 MeV. Above 45 MeV some improvement was obtained with the inclusion of a small H-wave contribution. New total reaction cross section data were employed as a constraint on the imaginary parts of the phase shifts. The new analsis corroborates an early finding that the inelasticity is mainly associated with the even partial waves.« less