The three-body problem with short-range interactions

Nielsen, Esben; Fedorov, D. V.; Jensen, A. S.; Garrido, E.

doi:10.1016/s0370-1573(00)00107-1

Cited by 443 publications

(438 citation statements)

References 74 publications

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“…On the other hand, if ℓ (2) sc is finite and nonzero, this estimate describes the number of energy levels in the Thomas effect going to −∞ as r 0 → 0. That the Efimov and Thomas effects are nothing but the two sides of the same coin was noted, in particular, in [76] and [77] (see also [78,Section 5] and references therein). Currently, there are a lot of discussions on the universal properties of three-body systems at ultralow energies, and there is a tendency (see, e.g.…”

Section: Efimov Effectmentioning

confidence: 93%

The 4He Trimer as an Efimov System

Kolganova¹,

Мотовилов²,

Sandhas

2011

Few-Body Syst

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Section: Efimov Effectmentioning

confidence: 93%

The 4He Trimer as an Efimov System

Kolganova¹,

Мотовилов²,

Sandhas

2011

Few-Body Syst

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“…This unusual type of binding is related to finely correlated motion of the strands. Such Borromean states, where binding is due to the cumulative effect of several potentials, first appeared in nuclear physics [15,16], but their detection in that field is difficult. Their observation in polymer physics might be easier, since the involved scales are mesoscopic.…”

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confidence: 99%

Adhesion-Induced DNA Naturation

Allahverdyan

Gevorkian

et al. 2006

Phys. Rev. Lett.

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DNA adsorption and naturation is modeled via two interacting flexible homopolymers coupled to a solid surface. DNA denatures if the entropy gain for unbinding the two strands overcomes the loss of binding energy. When adsorbed to a surface, the entropy gain is smaller than in the bulk, leading to a stronger binding and, upon neglecting self-avoidance, absence of a denatured phase. Now consider conditions where the binding potentials are too weak for naturation, and the surface potential too weak to adsorb single strands. In a variational approach it is shown that their combined action may lead to a naturated adsorbed phase. Conditions for the absence of naturation and adsorption are derived too. The phase diagram is constructed qualitatively.

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“…Developed methods in this field are based on detailed three-body equations which provide a correct description of the quantum mechanical three-body systems (Takahashi & Takatsuka, 2006;Kilic, Karr & Hilico, 2004;Nielsen et al, 2001;Pahlavani, 2010). Theoretical study of muonic three-body system comprises different theoretical methods, e.g.…”

Section: Discussionmentioning

confidence: 99%