Heavy-ion fusion using a parabolic barrier with Coulomb interaction
In this work, we describe the fusion mechanism between two heavy ions as penetration through a parabolic barrier in the presence of a proper Coulomb interaction with appropriate boundary conditions. The parabolic potential is matched to the Coulomb potential in order to avoid any discontinuity of the potential surface. The Schroedinger equation in the exterior and interior regions containing, respectively, the Coulomb and the parabolic potentials are solved and the penetrability function is calculated from the logarithmic derivative at the matching radius. The theory is then applied to calculate the fusion cross sections for the reactions /sup 16/O+ /sup 16/O, /sup 12/C+ /sup 28en-dash30/Si, /sup 16/O+ /sup 24,26/Mg, /sup 16/O+/sup 28en-dash30/Si, and /sup 40/Ca+ /sup 40/Ca and are found to reproduce the data quite well. The theory is valid for energies both below and above the barrier.
- Research Organization:
- Department of Physics and Astronomy, Southern Illinois University-Carbondale, Carbondale, Illinois 62901
- OSTI ID:
- 5029762
- Journal Information:
- Phys. Rev. C; (United States), Vol. 26:1
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
CALCIUM 40 REACTIONS
FUSION REACTIONS
CALCIUM 40 TARGET
CARBON 12 REACTIONS
MAGNESIUM 24 TARGET
OXYGEN 16 REACTIONS
MAGNESIUM 26 TARGET
OXYGEN 16 TARGET
SILICON ISOTOPES
BOUNDARY CONDITIONS
COULOMB FIELD
CROSS SECTIONS
HEAVY ION REACTIONS
NUCLEAR POTENTIAL
SCHROEDINGER EQUATION
CHARGED-PARTICLE REACTIONS
DIFFERENTIAL EQUATIONS
ELECTRIC FIELDS
EQUATIONS
ISOTOPES
NUCLEAR REACTIONS
PARTIAL DIFFERENTIAL EQUATIONS
POTENTIALS
TARGETS
WAVE EQUATIONS
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