Existence of bound states for double well potentials and the Efimov effect

1990 ◽  
pp. 173-186 ◽  
Author(s):  
Hideo Tamura
Keyword(s):  
Bound States ◽  
Efimov Effect

scholarly journals On the Discrete Spectrum of a Model Operator in Fermionic Fock Space

2013 ◽  
Vol 2013 ◽  
pp. 1-12 ◽  
Author(s):  
Zahriddin Muminov ◽  
Fudziah Ismail ◽  
Zainidin Eshkuvatov ◽  
Jamshid Rasulov
Keyword(s):  
Bound States ◽  
Fock Space ◽  
Critical Value ◽  
Efimov Effect ◽  
Model Operator ◽  
The Third ◽  
Direct Sum ◽  
Friedrichs Model ◽  
Number Of Particles ◽  
Generalized Friedrichs Model

We consider a model operatorHassociated with a system describing three particles in interaction, without conservation of the number of particles. The operatorHacts in the direct sum of zero-, one-, and two-particle subspaces of thefermionic Fock space ℱa(L2(𝕋3))overL2(𝕋3). We admit a general form for the "kinetic" part of the HamiltonianH, which contains a parameterγto distinguish the two identical particles from the third one. (i) We find a critical valueγ*for the parameterγthat allows or forbids the Efimov effect (infinite number of bound states if the associated generalized Friedrichs model has a threshold resonance) and we prove that only forγ<γ*the Efimov effect is absent, while this effect exists for anyγ>γ*. (ii) In the caseγ>γ*, we also establish the following asymptotics for the numberN(z)of eigenvalues ofHbelowz<Emin=infσessH:limz→EminNz/logEmin-z=𝒰0γ  𝒰0γ>0, for allγ>γ*.

scholarly journals Fermions Meet Two Bosons—the Heteronuclear Efimov Effect Revisited

2020 ◽  
Author(s):  
Binh Tran ◽  
Michael Rautenberg ◽  
Manuel Gerken ◽  
Eleonora Lippi ◽  
Bing Zhu ◽  
...  
Keyword(s):  
Infinite Series ◽  
Bound States ◽  
Scattering Length ◽  
Mass Difference ◽  
Scaling Law ◽  
Scaling Factor ◽  
Binding Energies ◽  
Efimov Effect ◽  
Three Body ◽  
Efimov States

Abstract In this article, we revisit the heteronuclear Efimov effect in a Bose-Fermi mixture with large mass difference in the Born-Oppenheimer picture. As a specific example, we consider the combination of bosonic 133Cs and fermionic 6Li. In a system consisting of two heavy bosons and one light fermion, the fermion-mediated potential between the two heavy bosons gives rise to an infinite series of three-body bound states. The intraspecies scattering length determines the three-body parameter and the scaling factor between consecutive Efimov states. In a second scenario, we replace the single fermion by an entire Fermi Sea at zero temperature. The emerging interaction potential for the two bosons exhibits long-range oscillations leading to a weakening of the binding and a breakup of the infinite series of Efimov states. In this scenario, the binding energies follow a modified Efimov scaling law incorporating the Fermi momentum. The scaling factor between deeply bound states is governed by the intraspecies interaction, analogous to the Efimov states in vacuum.

scholarly journals Efimov effect and higher bound states in a three-particle system

1976 ◽  
Vol 265 (3) ◽  
pp. 365-375 ◽  
Author(s):  
Antonio Carlos Antunes ◽  
Vera Lucia Baltar ◽  
Erasmo M. Ferreira
Keyword(s):  
Bound States ◽  
Particle System ◽  
Efimov Effect

Recent Radiative and Collisional Atomic Data of Astrophysical Interest

1988 ◽  
Vol 102 ◽  
pp. 129-132
Author(s):  
K.L. Baluja ◽  
K. Butler ◽  
J. Le Bourlot ◽  
C.J. Zeippen
Keyword(s):  
Mass Production ◽  
Bound States ◽  
Physical Models ◽  
Impact Excitation ◽  
Electron Impact Excitation ◽  
Atomic Data ◽  
Isoelectronic Sequence ◽  
Astrophysical Interest ◽  
Radiative Transitions ◽  
Forbidden Transitions

SummaryUsing sophisticated computer programs and elaborate physical models, accurate radiative and collisional atomic data of astrophysical interest have been or are being calculated. The cases treated include radiative transitions between bound states in the 2p4and 2s2p5configurations of many ions in the oxygen isoelectronic sequence, the photoionisation of the ground state of neutral iron, the electron impact excitation of the fine-structure forbidden transitions within the 3p3ground configuration of CℓIII, Ar IV and K V, and the mass-production of radiative data for ions in the oxygen and fluorine isoelectronic sequences, as part of the international Opacity Project.

Magnetically stabilized multiparticle bound states in semiconductors

2003 ◽  
Vol 173 (9) ◽  
pp. 999 ◽  
Author(s):  
Nikolai N. Sibel'din
Keyword(s):  
Bound States

Spectrum of Bound States of Nucleus 10B in a Three-Cluster Microscopic Model

2014 ◽  
Vol 59 (11) ◽  
pp. 1065-1077 ◽  
Author(s):  
A.V. Nesterov ◽  
◽  
V.S. Vasilevsky ◽  
T.P. Kovalenko ◽  
◽  
...  
Keyword(s):  
Bound States ◽  
Microscopic Model

Bound States and Resonance States of H^- and He Embedded in Debye Plasma Environments

PIERS Online ◽  
2007 ◽  
Vol 3 (3) ◽  
pp. 343-346 ◽  
Author(s):  
Sabyasachi Kar ◽  
Y. K. Ho
Keyword(s):  
Bound States ◽  
Resonance States ◽  
Debye Plasma

Strong Coupling Effects on Bound States in Plasmas.

1985 ◽  
Author(s):  
G. J. Kalman
Keyword(s):  
Strong Coupling ◽  
Bound States ◽  
Coupling Effects
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