Equilibrium deformation calculations of the ground state energies of 1p shell nuclei

Dec, 1965
26 pages
Published in:
  • Nucl.Phys. 74 (1965) 33-58

Citations per year

1967198219972012202505101520
Abstract: (Elsevier)
The equilibrium ground state energies of the 1p shell nuclei are calculated by diagonalizing the full many-particle Hamiltonian with saturating forces in an M , rather than J , Slater determinant representation. The single-particle wave functions have variable oscillator constants which preserve cylindrical symmetry. The ground state energy is minimized with respect to the different oscillator constants. This is equivalent to minimizing the ground state energy with respect to nuclear volume, nuclear deformation, and, in a limited sense, to the form of the single-particle radial functions. In the zero-deformation limit, the diagonalization and minimization with respect to nuclear size is equivalent to finding the best intermediate coupling result for the ground state energy consistent with the force being used. Most 1p shell nuclei are found to be deformed with the deformation being a sensitive function of the amount of Majorana exchange in the force mixture. For light 1p shell nuclei the 1p orbitals are considerably larger relative to the 1s orbitals than predicted by the usual simple harmonic single-particle potential.
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