Exact Numerical Solution of a Three-Body Ground-State Problem

1962 ◽  
Vol 125 (5) ◽  
pp. 1754-1758 ◽  
Author(s):  
George A. Baker ◽  
J. L. Gammel ◽  
B. J. Hill ◽  
John G. Wills
Keyword(s):  
Numerical Solution ◽  
Ground State ◽  
State Problem ◽  
Exact Numerical Solution ◽  
Three Body

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.

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

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.

scholarly journals Impact of uncertainties of unbound 10Li on the ground state of two-neutron halo 11Li

2020 ◽  
Author(s):  
Jagit Singh ◽  
Wataru Horiuchi
Keyword(s):  
Ground State ◽  
Halo Nucleus ◽  
Transfer Reaction ◽  
Neutron Halo ◽  
Structure Model ◽  
Continuum States ◽  
Normal Core ◽  
Configuration Mixing ◽  
Three Body ◽  
Neutron Transfer Reaction

Recently, the energy spectrum of \boldsymbol{^{10}}10Li was measured upto \boldsymbol{4.6}4.6 MeV, via one-neutron transfer reaction \boldsymbol{d(^{9}\textrm{Li},~p)^{10}\textrm{Li}}𝐝(9Li,𝐩)10Li. Considering the ambiguities on the \boldsymbol{^{10}}10Li continuum spectrum with reference to new data, we report the configuration mixing in the ground state of the two-neutron halo nucleus \boldsymbol{^{11}}11Li for two different choices of the \boldsymbol{^{9}{\textrm{Li}}+n}9Li+𝐧 potential. For the present study, we employ a three-body (\boldsymbol{\textrm{core}+n+n}core+𝐧+𝐧) structure model developed for describing the two-neutron halo system by explicit coupling of unbound continuum states of the subsystem (\boldsymbol{\textrm{core}+n}core+𝐧), and discuss the two-neutron correlations in the ground state of \boldsymbol{^{11}}11Li.

Exact numerical solution for asymmetric charge transfer

1964 ◽  
Vol 10 (3) ◽  
pp. 284-285
Author(s):  
R.A. Willet ◽  
S.G. Elkomoss
Keyword(s):  
Charge Transfer ◽  
Numerical Solution ◽  
Exact Numerical Solution

scholarly journals The virial theorem and the ground state problem in polaron theory

2012 ◽  
Vol 114 (5) ◽  
pp. 867-869 ◽  
Author(s):  
N. I. Kashirina ◽  
V. D. Lakhno ◽  
A. V. Tulub
Keyword(s):  
Ground State ◽  
Virial Theorem ◽  
State Problem ◽  
Polaron Theory
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