STRUCTURE OF THE O$sup 16$ NUCLEUS

Journal Article · Sat Dec 01 04:00:00 EST 1962 · Nuclear Physics (Netherlands) Divided into Nucl. Phys. A and Nucl. Phys. B

DOI:https://doi.org/10.1016/0029-5582(62)90389-9· OSTI ID:4737110

Ullah, N; Nesbet, R K

An approximate Hartree-Fock self-consistent-field calculation is carried out for the ground state of the O/sup 16/ nucleus. The two-body interaction used has a finite hard core as well as exchange interaction. Our zeroth-order wave function gives an improved ground state energy of --116.3 Mev as compared to -- 87.8 Mev obtained with harmonic oscillator wave functions in zeroth order in a previous calculation using the same hamiltonian. The calculated value of the r.m.s. radius is 2.07 fm. Coulomb forces are neglected in zero order and contribute 18.2 Mev when treated as a first order perturbation. A projection operator technique is used to construct S/sup 1,1/ wave functions from the various excited configurations that interact with the ground state. The configuration interaction calculation yields --13.6 Mev as the correlation energy, giving a total binding energy nearly identical with that obtained in an earlier calculation which used harmonic oscillator wave functions in zeroth order. Thus the net correlation energy is found to be very much smaller than would appear from the simple shell model. The tensor force does not contribute to the energy of the S/sup 1,1/ ground state configuration, and the configuration interaction effects from the tensor force are found to be quite small ( approximately --0.2 Mev). The fact that total correlation energy including tensor force is small indicates that L-S coupling is a good approximation for the ground state of closed shell nuclei like O/sup 16/. The p/sup 3,1/ states arising from the configurations p/sup -1/d and p/sup -1/2s in L-S coupling are calculated. These states are associated with dipole resonance in 0/sup 16/. The calculation shows that most of the dipole sum is obtained from two P/sup 3,1/ states. The methods of calculation described are quite general and can be applied easily to either open or closed shell nuclei, if the two-body interaction has no worse than an integrable singularity (integrable hard core). (auth)

• Research Organization: Boston Univ.
• NSA Number: NSA-17-013504
• OSTI ID: 4737110
• Journal Information: Nuclear Physics (Netherlands) Divided into Nucl. Phys. A and Nucl. Phys. B, Journal Name: Nuclear Physics (Netherlands) Divided into Nucl. Phys. A and Nucl. Phys. B Vol. Vol: 39; ISSN NUPHA
• Country of Publication: Country unknown/Code not available
• Language: English

Related Subjects

ANGULAR MOMENTUM
ATOMIC MODELS
BINDING ENERGY
CIRCUITS
CONFIGURATION
DIFFERENTIAL EQUATIONS
DIPOLES
ELECTRIC FIELDS
ENERGY LEVELS
FIELD THEORY
HAMILTONIAN
HARTREE-FOCK METHOD
INTERACTIONS
MANY BODY PROBLEM
MATHEMATICS
MOMENTUM
NUCLEAR MODELS
NUCLEAR STRUCTURE
NUMERICALS
ORBITS
OSCILLATIONS
OSCILLATORS
OXYGEN 16
PERTURBATION THEORY
PHYSICS
QUANTUM MECHANICS
RESONANCE
S-WAVE
SCATTERING
SELF-CONSISTENT FIELD
SPIN