The Relaxing Tl2+ Defects in Crystals of β-K2O4 Group

Efimov, V. N.; Mamin, G. V.

doi:10.1142/s0217984997000712

Cited by 6 publications

(9 citation statements)

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“…We now discuss the Thomas collapse [51] and Efimov effect [3]. In momentum space the matrix elements of the Dirac δ-function potential are constant.…”

Section: Thomas-efimov Effect With a Squeezed Dimensionmentioning

confidence: 99%

“…However, they can be very hard to approach due to their intrinsically non-perturbative nature and often it is necessary to employ numerical simulations such as Monte Carlo [1] and/or lattice field theory techniques as done with great success in lattice QCD [2]. In the limit of few particles, strongly interacting systems can display truly remarkable features such as the Efimov effect [3] where a geometric series of three-body bound states of three bosons occur at the threshold for the binding of any two-body subsystem. This is a key insight into the often counterintuitive behavior of few-body systems that is extremely difficult to capture without analytical guidance.…”

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confidence: 99%

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Weakly bound states of two- and three-boson systems in the crossover from two to three dimensions

Yamashita

Bellotti

Frederico

et al. 2014

J. Phys. B: At. Mol. Opt. Phys.

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The spectrum and properties of quantum bound states is strongly dependent on the dimensionality of space. How this comes about and how one may theoretically and experimentally study the interpolation between different dimensions is a topic of great interest in different fields of physics. In this paper we study weakly bound states of non-relativistic two and three boson systems when passing continuously from a three (3D) to a two-dimensional (2D) regime within a 'squeezed dimension' model. We use periodic boundary conditions to derive a surprisingly simple form of the three-boson Schrödinger equation in momentum space that we solve numerically. Our results show a distinct dimensional crossover as three-boson states will either disappear into the continuum or merge with a 2D counterpart, and also a series of sharp transitions in the ratios of three-body and two-body energies from being purely 2D to purely 3D.

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“…We now discuss the Thomas collapse [51] and Efimov effect [3]. In momentum space the matrix elements of the Dirac δ-function potential are constant.…”

Section: Thomas-efimov Effect With a Squeezed Dimensionmentioning

confidence: 99%

mentioning

confidence: 99%

Weakly bound states of two- and three-boson systems in the crossover from two to three dimensions

Yamashita

Bellotti

Frederico

et al. 2014

J. Phys. B: At. Mol. Opt. Phys.

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“…The formation of the weakly bound triple-states (qqg) in the collisions of three particles when two-particle forces are too weak to produce bound dimers is known as Efimov effect [38,39]. In all the cases the role of the third component is crucial for experimental observation of this effect.…”

Section: Qcd Perspectivementioning

confidence: 99%

Asymmetric vector mesons produced in nuclear collisions

Dremin¹,

Nechitaǐlo²

2016

Eur. Phys. J. A

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It is argued that the experimentally observed phenomenon of asymmetric shapes of vector mesons produced in nuclear media during high energy nucleus-nucleus collisions can be explained as Fano-Feshbach resonances. It has been observed that the mass distributions of lepton pairs created at meson decays decline from the traditional Breit-Wigner shape with some excess in the low-mass wing of the resonance. It is clear that the whole phenomenon is related to some interaction with the nuclear medium. Moreover, it can be further detalized in quantum mechanics as the interference of direct and continuum states in Fano-Feshbach effect. To reveal the nature of the interaction it is proposed to use a phenomenological model of the additional contribution due to Cherenkov gluons. They can be created because of the excess of the refractivity index over 1 just in the low-mass wing as required by the classical Cherenkov treatment. In quantum mechanics, this requirement is related to the positive real part of the interaction amplitude in this wing. The corresponding parameters are found from the comparison with ρ-meson data and admit reasonable explanation.

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“…Both the states are stabilized by strand exchange of a single strand, and, in a sense, produced by the bubble fluctuations near the duplex melting point. The former one, occurring at or above the melting point on the unbound side, resembles * jayam@iiserb.ac.in † flavio.seno@pd.infn.it ‡ antonio.trovato@pd.infn.it § somen@iopb.res.in the well known Efimov effect [22,23] in quantum mechanics, and is called the Efimov-DNA. It is not a pure phase but a continuation of the three chain bound state.…”

Section: Introductionmentioning

confidence: 99%

“…The Efimov effect originates from quantum fluctuations at zero energy bound states of two attracting nonrelativistic particles. In a three particle system with pairwise critical potential, an effective long range 1/r 2 attraction appears between two particles at distance r due to the wide excursions of the third particle in the classically forbidden regions [22][23][24]. Consequently, there are an infinite number of bound states.…”

Section: Introductionmentioning

confidence: 99%

Bubble-bound state of triple-stranded DNA: Efimov physics in DNA with repulsion

Maji¹,

Seno²,

Trovato³

et al. 2017

J. Stat. Mech.

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The presence of a thermodynamic phase of a three-stranded DNA, namely, a mixed phase of bubbles of two bound strands and a single one, is established for large dimensions (d ≥ 5) by using exact real space renormalization group (RG) transformations and exact computations of specific heat for finite length chains. Similar exact computations for the fractal Sierpinski gasket of dimension d < 2 establish the stability of the phase in presence of repulsive three chain interaction. In contrast to the Efimov DNA, where three strands are bound though no two are bound, the mixed phase appears on the bound side of the two chain melting temperature. Both the Efimov-DNA and the mixed phase are formed due to strand exchange mechanism. arXiv:1703.09432v1 [cond-mat.soft]

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The Relaxing Tl²⁺ Defects in Crystals of β-K₂O₄ Group

Cited by 6 publications

References 0 publications

Weakly bound states of two- and three-boson systems in the crossover from two to three dimensions

Weakly bound states of two- and three-boson systems in the crossover from two to three dimensions

Asymmetric vector mesons produced in nuclear collisions

Bubble-bound state of triple-stranded DNA: Efimov physics in DNA with repulsion

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