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

Author(s):  
Yuji Naruse

<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>

2021 ◽  
Author(s):  
Yuji Naruse

<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>


2021 ◽  
Author(s):  
Yuji Naruse

<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>


1993 ◽  
Vol 87 (3) ◽  
pp. 195-213 ◽  
Author(s):  
Vladimir M. Azriel ◽  
Lev Yu. Rusin ◽  
Mikhail B. Sevryuk

Author(s):  
Jaume Carbonell ◽  
Emiko Hiyama ◽  
Rimantas Lazauskas ◽  
Francisco Miguel Marqués

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.


Author(s):  
Lucas Happ ◽  
Matthias Zimmermann ◽  
Maxim A Efremov

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.


1999 ◽  
Vol 8 (5) ◽  
pp. 1010-1022 ◽  
Author(s):  
Donna K. Hendrix ◽  
Teri E. Klein ◽  
Irwin D. Kuntz

2018 ◽  
Vol 20 (4) ◽  
pp. 2872-2879
Author(s):  
Eyad H. Al-Samra ◽  
Nicholas J. B. Green

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


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