A three-body Gaussian model of solid helium

1984 ◽  
Vol 62 (7) ◽  
pp. 683-687 ◽  
Author(s):  
Douglas P. Locke
Keyword(s):  
Ground State ◽  
Reasonable Agreement ◽  
Particle Distribution ◽  
Solid Helium ◽  
Gaussian Model ◽  
Distribution Functions ◽  
Liquid Transition ◽  
Wide Range ◽  
Three Body ◽  
Ground State Energies

A simple, analytic set of three-body models is used to calculate ground state energies and single-particle distribution functions for solid 3He and 4He. Reasonable agreement with other models and experiments over a wide range of molar bolumes (10 cm3 to the liquid transition) is demonstrated.

AB INITIO NO CORE METHODS: APPLICATIONS TO LIGHT NUCLEI

2008 ◽  
Vol 17 (supp01) ◽  
pp. 109-121 ◽  
Author(s):  
JAMES P. VARY ◽  
PIETER MARIS ◽  
ANDREY SHIROKOV
Keyword(s):  
Binding Energy ◽  
Ab Initio ◽  
Shell Model ◽  
Ground State ◽  
Reasonable Agreement ◽  
Light Nuclei ◽  
Core Shell ◽  
Ground State Energies

We introduce a no-core full configuration (NCFC) approach and present results for 4 He , 12 C , 14 F and some other nuclei with the realistic NN interaction, JISP16. We obtain ground state energies and their uncertainties through exponential extrapolations that we demonstrate are reliable in 4 He where fully converged results are obtained. We find 12 C is overbound by 1.7 MeV and we predict the yet-to-be-measured binding energy of 14 F to be 70.2±3.5 MeV. The extrapolated spectrum of 14 F is in reasonable agreement with known features of the 14 B spectrum. Distinctions are drawn between this approach and the no-core shell model (NCSM).

THE ANGULAR MOMENTUM DEPENDENT CALCULATION OF THE GROUND STATE ENERGY OF LIQUID 3He

2005 ◽  
Vol 19 (30) ◽  
pp. 1793-1802 ◽  
Author(s):  
M. MODARRES
Keyword(s):  
Angular Momentum ◽  
Ground State Energy ◽  
Ground State ◽  
Correlation Functions ◽  
State Energy ◽  
Interatomic Potentials ◽  
Channel Correlation ◽  
P Waves ◽  
Effective Interactions ◽  
Three Body

We investigate the possible angular momentum, l, dependence of the ground state energy of normal liquid 3 He . The method of lowest order constrained variational (LOCV) which includes the three-body cluster energy and normalization constraint (LOCVE) is used with angular momentum dependent two-body correlation functions. A functional minimization is performed with respect to each l-channel correlation function. It is shown that this dependence increases the binding energy of liquid 3 He by 8% with respect to calculations without angular momentum dependent correlation functions. The l=0 state has completely different behavior with respect to other l-channels. It is also found that the main contribution from potential energy comes from the l=1 state (p-waves) and the effect of l≥11 is less than about 0.1%. The effective interactions and two-body correlations in different channels are being discussed. Finally we conclude that this l-dependence can be verified experimentally by looking into the magnetization properties of liquid helium 3 and interatomic potentials.

TABLE OF GROUND STATE PROPERTIES OF NUCLEI IN THE RMF MODEL

2013 ◽  
Vol 28 (16) ◽  
pp. 1350068 ◽  
Author(s):  
TUNCAY BAYRAM ◽  
A. HAKAN YILMAZ
Keyword(s):  
Ground State ◽  
Mean Field ◽  
Properties Of Nuclei ◽  
Relativistic Mean Field ◽  
Ground State Properties ◽  
Pairing Correlations ◽  
Ground State Energies ◽  
Rmf Model

The ground state energies, sizes and deformations of 1897 even–even nuclei with 10≤Z ≤110 have been carried out by using the Relativistic Mean Field (RMF) model. In the present calculations, the nonlinear RMF force NL3* recent refitted version of the NL3 force has been used. The BCS (Bardeen–Cooper–Schrieffer) formalism with constant gap approximation has been taken into account for pairing correlations. The predictions of RMF model for the ground state properties of some nuclei have been discussed in detail.

Accurate ground state wavefunctions for several three-body systems

2009 ◽  
Vol 193 (1-3) ◽  
pp. 147-151 ◽  
Author(s):  
K. V. Rodriguez ◽  
Y. V. Gonzalez ◽  
G. Gasaneo ◽  
L. U. Ancarani ◽  
D. M. Mitnik
Keyword(s):  
Ground State ◽  
Three Body ◽  
State Wavefunctions

Dynamical Evolution of Globular Clusters with Mass Spectrum

1991 ◽  
Vol 9 (1) ◽  
pp. 41-44
Author(s):  
Hyung Mok Lee
Keyword(s):  
Mass Spectrum ◽  
Globular Clusters ◽  
Numerical Models ◽  
Relaxation Times ◽  
Dynamical Evolution ◽  
Planck Equation ◽  
Mass Function ◽  
Low Mass Stars ◽  
Wide Range ◽  
Three Body

AbstractWe present a series of numerical models describing the dynamical evolution of globular clusters with a mass spectrum, based on integration of the Fokker-Planck equation. We include three-body binary heating and a steady galactic tidal field. A wide range of initial mass functions is adopted and the evolution of the mass function is examined. The mass function begins to change appreciably during the post-collapse expansion phase due to the selective evaporation of low mass stars through the tidal boundary. One signature of highly evolved clusters is thus the significant flattening of the mass function. The age (in units of the half-mass relaxation time) increases very rapidly beyond about 100 signifying the final stage of cluster disruption. This appears to be consistent with the sharp cut-off of half-mass relaxation times at near 108 years for the Galactic globular clusters.

scholarly journals Electromagnetic transition form factors of baryons in a relativistic Faddeev approach

2018 ◽  
Vol 181 ◽  
pp. 01013 ◽  
Author(s):  
Reinhard Alkofer ◽  
Christian S. Fischer ◽  
Hèlios Sanchis-Alepuz
Keyword(s):  
Ground State ◽  
Bound States ◽  
Body Wave ◽  
Form Factors ◽  
Wave Functions ◽  
Electromagnetic Form Factors ◽  
Transition Form ◽  
Electromagnetic Transition ◽  
Three Body ◽  
Gluon Interaction

The covariant Faddeev approach which describes baryons as relativistic three-quark bound states and is based on the Dyson-Schwinger and Bethe-Salpeter equations of QCD is briefly reviewed. All elements, including especially the baryons’ three-body-wave-functions, the quark propagators and the dressed quark-photon vertex, are calculated from a well-established approximation for the quark-gluon interaction. Selected previous results of this approach for the spectrum and elastic electromagnetic form factors of ground-state baryons and resonances are reported. The main focus of this talk is a presentation and discussion of results from a recent investigation of the electromagnetic transition form factors between ground-state octet and decuplet baryons as well as the octet-only Σ0 to Λ transition.

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