A geometric setting for internal motions of the quantum three‐body system

1987 ◽  
Vol 28 (6) ◽  
pp. 1315-1326 ◽  
Author(s):  
Toshihiro Iwai
Keyword(s):  
Body System ◽  
Internal Motions ◽  
Geometric Setting ◽  
Three Body

Multiple impacts and energy transfer in a three-body system for noncollinear collisions

1993 ◽  
Vol 87 (3) ◽  
pp. 195-213 ◽  
Author(s):  
Vladimir M. Azriel ◽  
Lev Yu. Rusin ◽  
Mikhail B. Sevryuk
Keyword(s):  
Energy Transfer ◽  
Body System ◽  
Multiple Impacts ◽  
Three Body

scholarly journals Requirements of Orbital Phase Continuity Revisited: A FMO Approach

2021 ◽  
Author(s):  
Yuji Naruse
Keyword(s):  
Orbital Interaction ◽  
Body System ◽  
Orbital Phase ◽  
Three Body

<div> <p>Cyclic orbital interaction, in which a series of orbitals interact with each other so as to make a monocyclic system, affords stabilization if the requirements of orbital phase continuity are satisfied. Initially, these requirements were derived from the consideration of a three-body system. Here I propose that these requirements can be easily derived by considering FMO theory. </p> </div>

scholarly journals Low-energy neutron scattering on light nuclei and $^{19}$B as a $^{17}$B-$n$-$n$ three-body system in the unitary limit

2020 ◽  
Author(s):  
Jaume Carbonell ◽  
Emiko Hiyama ◽  
Rimantas Lazauskas ◽  
Francisco Miguel Marqués
Keyword(s):  
Scattering Length ◽  
Nucleon Nucleon ◽  
Light Nuclei ◽  
Unitary Limit ◽  
Body System ◽  
Resonant States ◽  
Pauli Repulsion ◽  
Nucleus Scattering ◽  
Nucleon Nucleon Interaction ◽  
Three Body

We consider the evolution of the neutron-nucleus scattering length for the lightest nuclei. We show that, when increasing the number of neutrons in the target nucleus, the strong Pauli repulsion is weakened and the balance with the attractive nucleon-nucleon interaction results into a resonant virtual state in ^{18}18B. We describe ^{19}19B in terms of a ^{17}17B-nn-nn three-body system where the two-body subsystems ^{17}17B-nn and nn-nn are unbound (virtual) states close to the unitary limit. The energy of ^{19}19B ground state is well reproduced and two low-lying resonances are predicted. Their eventual link with the Efimov physics is discussed. This model can be extended to describe the recently discovered resonant states in ^{20,21}20,21B.

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.

scholarly journals Macromolecular docking of a three-body system: The recognition of human growth hormone by its receptor

1999 ◽  
Vol 8 (5) ◽  
pp. 1010-1022 ◽  
Author(s):  
Donna K. Hendrix ◽  
Teri E. Klein ◽  
Irwin D. Kuntz
Keyword(s):  
Growth Hormone ◽  
Human Growth Hormone ◽  
Human Growth ◽  
Body System ◽  
Three Body

scholarly journals On the approximation of independent pairs in diffusion kinetics: correlation of distances in a three-body system

2018 ◽  
Vol 20 (4) ◽  
pp. 2872-2879
Author(s):  
Eyad H. Al-Samra ◽  
Nicholas J. B. Green
Keyword(s):  
Chemical Kinetics ◽  
Diffusion Kinetics ◽  
Body System ◽  
Radiation Chemical ◽  
System P ◽  
Three Body

This study investigates the problem of diffusion kinetics in a three-body system, motivated by the theory of radiation chemical kinetics.

scholarly journals THE THREE-BODY SYSTEM δ CIRCINI

2014 ◽  
Vol 148 (6) ◽  
pp. 114 ◽  
Author(s):  
Pavel Mayer ◽  
Petr Harmanec ◽  
Hugues Sana ◽  
Jean-Baptiste Le Bouquin
Keyword(s):  
Body System ◽  
Three Body

scholarly journals Zur Lösung des quantenmechanischen Drei-Körper-Problems

1968 ◽  
Vol 23 (4) ◽  
pp. 579-596
Author(s):  
H. Ruder
Keyword(s):  
Ground State ◽  
Physical Meaning ◽  
State Energy ◽  
Differential Operators ◽  
Perturbation Expansion ◽  
Reflection Symmetry ◽  
Body System ◽  
Rapid Convergence ◽  
Symmetry Properties ◽  
Three Body

For the description of a three-body-system 6 coordinates are introduced which take full advantage of the symmetry properties of the system. The Schrödinger equation in these coordinates is derived. Using rotational and reflection symmetry one obtains a set of l respectively l+1 coupled differential equations containing only the 3 coordinates of the triangle formed by the 3 masses. Solutions are given for special potentials and arbitrary l. The physical meaning of the differential operators appearing in the equations becomes evident from their application to the solution functions. This leads to a rearrangement of the Hamiltonian in a very transparent form and gives a hint how to get the most effective perturbation expansion. A simple example is worked out. For systems with Coulomb interaction a modification of the method is suggested by physical considerations. The calculation of the ground state energy of the Helium atom shows the rapid convergence of the procedure.

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