Gravitational wave forms for a three-body system in Lagrange’s orbit: Parameter determinations and a binary source test

<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>

Download Full-text

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

SciPost Physics Proceedings ◽

10.21468/scipostphysproc.3.008 ◽

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.

Download Full-text

Universality of excited three-body bound states in one dimension

Journal of Physics B Atomic Molecular and Optical Physics ◽

10.1088/1361-6455/ac3cc8 ◽

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.

Download Full-text