Unified nuclear potential for heavy-ion elastic scattering, fusion, fission, and ground-state masses and deformations

Journal Article · Sat Sep 01 04:00:00 EDT 1979 · Phys. Rev., C; (United States)

DOI:https://doi.org/10.1103/PhysRevC.20.992· OSTI ID:5923592

Krappe, H J; Nix, J R; Sierk, A J

We develop a unified nuclear potential for the description of large-scale nuclear collective motion and find that it satisfactorily reproduces experimental data for heavy-ion elastic scattering, fusion, fission, and ground-state masses. Obtained by generalizing the modified liquid-drop model so that two semi-infinite slabs of constant-density nuclear matter have minimum energy at zero separation, this potential is given in terms of a double volume integral of a Yukawa-plus-exponential folding function. For heavy nuclear systems the resulting heavy-ion interaction potential is similar to the proximity potential of Swiatecki and co-workers. However, for light nuclear systems our potential lies slightly below the proximity potential at all nuclear separations. For heavy nuclei fission barriers calculated with our Yukawa-plus-exponential model are similar to those calculated with the liquid-drop model. However, for light nuclei the finite range of the nuclear force and the diffuse nuclear surface lower the fission barriers relative to those calculated with the liquid-drop model. Use of a Wigner term proportional to absolute value (N - Z)/A in the nuclear mass formula resolves the major part of the anomaly between nuclear radii derived from elastic electron scattering on the one hand and from ground-state masses and fission-barrier heights on the other.

• Research Organization: Hahn-Meitner-Institut fuer Kernforschung, Berlin, Germany
• OSTI ID: 5923592
• Journal Information: Phys. Rev., C; (United States), Journal Name: Phys. Rev., C; (United States) Vol. 20:3; ISSN PRVCA
• Country of Publication: United States
• Language: English

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73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ALPHA REACTIONS
ALUMINIUM 27 TARGET
ANGULAR DISTRIBUTION
CARBON 12 TARGET
CHARGED-PARTICLE REACTIONS
CHLORINE 35 REACTIONS
COMPOUND-NUCLEUS REACTIONS
DEFORMATION
DISTRIBUTION
ELASTIC SCATTERING
ENERGY LEVELS
FISSION
FUSION REACTIONS
GROUND STATES
HEAVY ION REACTIONS
KRYPTON 84 REACTIONS
LEAD 208 TARGET
MASS
MATHEMATICAL MODELS
NICKEL 62 TARGET
NUCLEAR DEFORMATION
NUCLEAR MODELS
NUCLEAR POTENTIAL
NUCLEAR REACTIONS
OPTICAL MODELS
OXYGEN 16 REACTIONS
POTENTIALS
SCATTERING
SILICON 28 TARGET
SULFUR 32 REACTIONS
TARGETS