LiquidHe3. II. Three-Body Correlations and their Contribution to the Binding Energy

1968 ◽  
Vol 171 (1) ◽  
pp. 248-262 ◽  
Author(s):  
E. Østgaard
Keyword(s):  
Binding Energy ◽  
Three Body

scholarly journals The Binding-Energy Distribution of the Binaries in a Star Cluster

1980 ◽  
Vol 85 ◽  
pp. 363-364
Author(s):  
John M. Retterer
Keyword(s):  
Kinetic Equation ◽  
Binding Energy ◽  
Energy Distribution ◽  
Numerical Solution ◽  
Star Cluster ◽  
Initial State ◽  
Encounter Rates ◽  
Self Similar Solution ◽  
Self Similar ◽  
Three Body

In order to study the development of the binding-energy distribution of hard binaries in a star cluster, solutions of the appropriate kinetic equation have been obtained, using the three-body encounter rates calculated by Heggie (1975). The binaries in a homogeneous, time-independent stellar medium are considered first. We calculate an analytical solution, of self-similar form, that can be applied to very hard binaries. Integrated forward in time from an initial state containing no hard binaries, a numerical solution of the kinetic equation rapidly approaches the equilibrium ‘Saha’ form of the energy distribution at small energies, while at high energies the numerical solution behaves like our analytical self-similar solution. The fluctuations in the distribution, due to the stochastic nature of binary creation and evolution, are analyzed. We calculate the rate of exchange encounters when stars of different masses are present; these rates are then combined with the other Heggie rates to find the binary distribution in a multi-mass environment. Next, the creation rate as a function of energy is obtained for the binaries that form in two-body, tidally dissipative encounters. This rate is combined with the three-body encounter rates to calculate how the energy distribution of the tidal binaries evolves. Finally, the binding-energy distribution of hard binaries is obtained in a more realistic inhomogeneous, time-dependent cluster model. Although the evolution of the cluster is governed primarily by the effects of two-body relaxation, the influence of the binaries on the cluster is considered as well. A detailed report of this study has been submitted to The Astronomical Journal.

NON-ADIABATIC COUPLED REARRANGEMENT CHANNEL CALCULATION OF ENERGY FOR MUONIC MOLECULE ttμ IN THE HYPER-SPHERICAL APPROACH

2006 ◽  
Vol 15 (01) ◽  
pp. 247-254
Author(s):  
M. MAHDAVI
Keyword(s):  
Binding Energy ◽  
Ground State ◽  
Bound States ◽  
Adiabatic Approximation ◽  
Spherical Surface ◽  
Molecular Ions ◽  
Adiabatic Expansion ◽  
Muonic Molecule ◽  
Channel Calculation ◽  
Three Body

The hyper-spherical adiabatic expansion is a representation for the investigation of the muonic three-body bound states. In this research, we have used the method of hyper-spherical "surface" functions for the muonic molecule, tritium-tritium-muon. Through this approach, the binding energy of the ground state and the lowest eigenpotentials for the muonic molecular ions are calculated in the extreme adiabatic approximation. The results obtained are close to the calculation of other researchers.

CALCULATION OF BINDING ENERGY FOR THE CHARGE-NONSYMMETRIC MUONIC MOLECULES IN THE HYPER-SPHERICAL APPROACH

2005 ◽  
Vol 20 (02) ◽  
pp. 145-153 ◽  
Author(s):  
M. R. ESKANDARI ◽  
M. MAHDAVI
Keyword(s):  
Binding Energy ◽  
Ground State ◽  
Bound States ◽  
Adiabatic Approximation ◽  
Spherical Surface ◽  
Molecular Ions ◽  
Adiabatic Expansion ◽  
Three Body

The hyper-spherical adiabatic expansion is a representation for the investigation of the muonic three-body bound states. In this research we have used the method of hyper-spherical "surface" functions for charge-nonsymmetric muonic molecules (isotopes of helium-deuterium-muon). Through this approach, the binding energy of the ground state and the lowest eigenpotentials for the muonic molecular ions are calculated in extreme adiabatic approximation. The obtained results are close to other's calculation.

NEUTRON-DEUTERON SCATTERING PREDICTED BY THE QUARK-MODEL BARYON-BARYON INTERACTION

2010 ◽  
Vol 25 (21n23) ◽  
pp. 2006-2007
Author(s):  
K. FUKUKAWA ◽  
Y. FUJIWARA
Keyword(s):  
Elastic Scattering ◽  
Binding Energy ◽  
Quark Model ◽  
Cross Sections ◽  
Differential Cross ◽  
Scattering Length ◽  
Deuteron Scattering ◽  
Baryon Interaction ◽  
Spin Observables ◽  
Three Body

We apply our quark-model NN interaction fss2 to the nd scattering in the Faddeev formalism. A consistent description of the triton binding energy, the nd scattering length, the differential cross sections, and spin observables of the elastic scattering up to 65 MeV is achieved without introducing three-body forces.

Sign in / Sign up

Export Citation Format

Share Document