Excluded bound state in theS12α−Ninteraction and the three-body binding energies ofHe6andLi6

1982 ◽  
Vol 25 (6) ◽  
pp. 3146-3154 ◽  
Author(s):  
D. R. Lehman
Keyword(s):  
Bound State ◽  
Binding Energies ◽  
Three Body

scholarly journals Comment on “Three-dimensional study of the six-body bound-state for the case of effective three-body configuration model”

2017 ◽  
Vol 26 (11) ◽  
pp. 1750079 ◽  
Author(s):  
M. R. Hadizadeh ◽  
M. Radin ◽  
S. Bayegan
Keyword(s):  
Integral Equation ◽  
Three Dimensional ◽  
Bound State ◽  
Binding Energies ◽  
Numerical Calculations ◽  
Configuration Model ◽  
Three Body

The authors argue that the calculated binding energies of 6He obtained by the solution of the coupled Faddeev-Yakubovsky integral equation in a three-dimensional scheme reported by E. Ahmadi Pouya and A. A. Rajabi [Int. J. Mod. Phys. E 25(9) (2016) 1650072] are incorrect. The formalism of the paper has serious mistakes and the numerical calculations are quite misleading because such a calculation even with a small number of grids for Jacobi momenta and the angle variables leads to a huge memory of 37.8[Formula: see text]PB (petabyte) which cannot even be achieved on existing supercomputers.

scholarly journals T?Matrix Perturbation Theory in the Three?Nucleon Bound State

1973 ◽  
Vol 26 (4) ◽  
pp. 449 ◽  
Author(s):  
IR Afnan ◽  
JM Read
Keyword(s):  
Perturbation Theory ◽  
Bound State ◽  
Binding Energies ◽  
Matrix Perturbation ◽  
State Problem ◽  
Matrix Perturbation Theory ◽  
Local Potentials ◽  
T Matrix ◽  
Three Body ◽  
Bound State Problem

A T-matrix perturbation method has been used to calculate three-body binding energies for two local potentials. The results obtained indicate that the method provides one of the most attractive ways of solving by computation the three-body bound state problem for realistic interactions.

scholarly journals Numerical Study of a Model Three-Body System

1972 ◽  
Vol 25 (5) ◽  
pp. 507 ◽  
Author(s):  
LR Dodd
Keyword(s):  
Bound States ◽  
Numerical Solutions ◽  
Numerical Study ◽  
Bound State ◽  
Negative Parity ◽  
Binding Energies ◽  
Body System ◽  
Matrix Formulation ◽  
Wide Range ◽  
Three Body

An investigation is made of the properties of a simple three-body system consisting of three particles moving in one dimension and interacting through d-function potentials. The exact equations of three-particle scattering theory for this system are reduced without approximation to a set of three coupled one-dimensional integral equations which are solved numerically for a wide range of different potential strengths and particle masses. For the special case of identical particles the numerical solutions are compared with the exact solutions found previously by the author. The method of solution for general values of the parameters, which is based on computing the eigenvalue trajectories of the kernel of the scattering equations, allows a. systematic search for three-body bound states. In the case of nuclear or atomic-like configurations, a unique symmetric bound state is found and its binding energy computed. For molecular configurations, where there are two identical heavy particles interacting by the exchange of a third light particle, several excited states of both positive and negative parity are found and a comparison is made of their binding energies with the predictions of the adiabatic approximation. A reaction matrix formulation of the exact equations is used to calculate the probabilities of elastic and rearrangement scattering below the threshold for breakup. When the particles are identical, there is no elastic or rearrangement scattering in the backward direction. However, for particles of different mass or potentials of unequal strength, all kinematically possible scattering processes occur and the scattering properties of the model are quite complex. In particular an interesting feature of the calculations is the appearance of cusps in the elastic cross sections at the rearrangement threshold.

Derivation of the three-body bound-state equation from the effective action

1989 ◽  
Vol 40 (8) ◽  
pp. 2654-2661 ◽  
Author(s):  
M. Komachiya ◽  
M. Ukita ◽  
R. Fukuda
Keyword(s):  
Effective Action ◽  
Bound State ◽  
State Equation ◽  
Three Body

Note on radiationless transitions involving three-body collisions

1936 ◽  
Vol 32 (3) ◽  
pp. 482-485 ◽  
Author(s):  
R. A. Smith
Keyword(s):  
Continuous Spectrum ◽  
Negative Ions ◽  
Bound State ◽  
Excess Energy ◽  
Negative Ion ◽  
Positive Ions ◽  
Continuous State ◽  
Direct Formation ◽  
Three Body ◽  
Positive Ion

When an electron makes a transition from a continuous state to a bound state, for example in the case of neutralization of a positive ion or formation of a negative ion, its excess energy must be disposed of in some way. It is usually given off as radiation. In the case of neutralization of positive ions the radiation forms the well-known continuous spectrum. No such spectrum due to the direct formation of negative ions has, however, been observed. This process has been fully discussed in a recent paper by Massey and Smith. It is shown that in this case the spectrum would be difficult to observe.

scholarly journals Universality of excited three-body bound states in one dimension

2021 ◽  
Author(s):  
Lucas Happ ◽  
Matthias Zimmermann ◽  
Maxim A Efremov
Keyword(s):  
Excited States ◽  
Bound States ◽  
Space Dimension ◽  
Binding Energies ◽  
Wave Functions ◽  
One Dimension ◽  
Strong Indication ◽  
Body System ◽  
Weakly Bound ◽  
Three Body

Abstract We study a heavy-heavy-light three-body system confined to one space dimension in the regime where an excited state in the heavy-light subsystems becomes weakly bound. The associated two-body system is characterized by (i) the structure of the weakly-bound excited heavy-light state and (ii) the presence of deeply-bound heavy-light states. The consequences of these aspects for the behavior of the three-body system are analyzed. We find a strong indication for universal behavior of both three-body binding energies and wave functions for different weakly-bound excited states in the heavy-light subsystems.

Three-body forces and shell-model binding energies

1975 ◽  
Vol 57 (1) ◽  
pp. 24-26 ◽  
Author(s):  
B.J. Cole ◽  
A. Watt ◽  
R.R. Whitehead
Keyword(s):  
Shell Model ◽  
Binding Energies ◽  
Body Forces ◽  
Three Body

scholarly journals Numerical Simulations of Encounters of Hard Binaries

1985 ◽  
Vol 113 ◽  
pp. 335-338
Author(s):  
Seppo Mikkola
Keyword(s):  
Cross Sections ◽  
Transfer Rate ◽  
Binding Energies ◽  
Body System ◽  
Energy Transfer Rate ◽  
Orbital Elements ◽  
Numerical Integrations ◽  
Order Of Magnitude ◽  
Three Body ◽  
Theory And Experiments

Results from numerical integrations of random binary-binary encounters have been used to obtain various cross-sections and outcome distributions for the four-body scattering. The initial orbital elements were chosen randomly except the Kepler-energies for which various selected values were used. Rough estimates for mass effects were obtained by simulating encounters of binaries with unequal component masses.We developed a semi-analytical theory for obtaining the types and energies of the outcome configurations. The theory contains some adjustable parameters, the values of which we deduced by comparing the theory and experiments.The energy transfer rate by collisions (=outcome is not two binaries) dominates over that due to fly-by's by an order of magnitude, provided that the binaries are hard. The formation of a hierarchical three-body system is fairly common. In a collision of energetically similar very hard binaries the probability is about 20 percent, while it is greater than 50 percent if the binding energies differ by a factor of more than four.

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