Perturbation corrections to the variational ground-state energy of liquid /sup 4/He

Journal Article · Wed Jun 01 04:00:00 EDT 1977 · Phys. Rev., B; (United States)

DOI:https://doi.org/10.1103/PhysRevB.15.5296· OSTI ID:7142270

Lee, F J; Lee, D K

The ground state of liquid /sup 4/He is studied by means of a variation-perturbation procedure based on the method of correlated basis functions. The main purpose of the study is to evaluate leading corrections to the variational ground-state energy optimized in the Bijl-Dingle-Jastrow (BDJ) type of trial-wave-function space. The total energy correction consists of: (i) a two-ring type of second-order perturbation energy calculated by including the leading correction to the convolution approximation for the three-particle distribution function, (ii) eight three-ring types of third- and fourth-order perturbation energies computed with the use of convolution approximations for the three- and four-particle distribution functions, and (iii) contribution from the triple-dipole three-body interaction evaluated with the use of the Kirkwood superposition approximation. The formulation for the perturbation energies is given in terms of the liquid-structure function generated by the optimum BDJ-type wave function. The numerical values of the energy corrections are obtained by using the liquid-structure function determined by Pokrant. The resulting ground-state energy per particle is -7.16 degreeK in close agreement with experimental value -7.20 degreeK.

• Research Organization: Department of Physics, National Tsing Hua University, Hsinchu, Taiwan, China
• OSTI ID: 7142270
• Journal Information: Phys. Rev., B; (United States), Journal Name: Phys. Rev., B; (United States) Vol. 15:11; ISSN PLRBA
• Country of Publication: United States
• Language: English

Related Subjects

640460* -- Fluid Physics-- Other Quantum Fluids
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
CORRELATION FUNCTIONS
CRYOGENIC FLUIDS
ENERGY LEVELS
EVEN-EVEN NUCLEI
FLUIDS
FUNCTIONS
GROUND STATES
HELIUM 4
HELIUM ISOTOPES
ISOTOPES
LIGHT NUCLEI
NUCLEI
PERTURBATION THEORY
STABLE ISOTOPES
VARIATIONAL METHODS