Small-amplitude limit of the nuclear Born-Oppenheimer method

Journal Article · Sat Apr 01 04:00:00 EST 1995 · Physical Review, C (Nuclear Physics); (United States)

DOI:https://doi.org/10.1103/PhysRevC.51.1777· OSTI ID:6403419

Zettili, N ^[1]

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1. Department of Physics, King Fahd University of Petroleum and Minerals, Dhahran, 31261 (Saudi Arabia) Institut de Physique, Universite de Blida, Blida (Algeria)

We examine here how the nuclear Born-Oppenheimer (NBO) method describes the collective dynamics of nuclei undergoing small-amplitude oscillations around the equilibrium state. After specifying the NBO trial wave function, and assuming that the intrinsic state is not very different from the Hartree-Fock (HF) ground state, we show that the NBO method yields the random phase approximation (RPA) equations. We then derive an expression for the ground state energy. This expression, which contains zero-point energy correction terms, is smaller than the static HF energy. Next, we derive the correlated ground state energy and then show that it is identical with the corresponding expressions obtained from the generator-coordinate method, from the properly quantized adiabatic time-dependent Hartree-Fock approach, and from the RPA.

• OSTI ID: 6403419
• Journal Information: Physical Review, C (Nuclear Physics); (United States), Journal Name: Physical Review, C (Nuclear Physics); (United States) Vol. 51:4; ISSN 0556-2813; ISSN PRVCAN
• Country of Publication: United States
• Language: English

Related Subjects

663110 -- General & Average Properties of Nuclei & Nuclear Energy Levels-- (1992-)
663120* -- Nuclear Structure Models & Methods-- (1992-)
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
BORN-OPPENHEIMER APPROXIMATION
CALCULATION METHODS
COLLECTIVE EXCITATIONS
ENERGY
ENERGY LEVELS
ENERGY-LEVEL TRANSITIONS
EXCITATION
FUNCTIONS
GROUND STATES
HARTREE-FOCK METHOD
NUCLEI
OSCILLATIONS
RANDOM PHASE APPROXIMATION
TIME DEPENDENCE
WAVE FUNCTIONS