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Title: Crossover in the Efimov spectrum

Abstract

A filtering method is introduced for solving the zero-range three-boson problem. This scheme permits solving the original Skorniakov Ter-Martirosian integral equation for an arbitrary large ultraviolet cutoff and avoiding the Thomas collapse of the three particles. The method is applied to a more general zero-range model including a finite-background two-body scattering length and the effective range. A crossover in the Efimov spectrum is found in such systems and a specific regime emerges where Efimov states are long-lived.

Authors:
 [1]
  1. Laboratoire de Physique Theorique de la Matiere Condensee, Universite Pierre et Marie Curie and CNRS, 4 place Jussieu, F-75252 Paris Cedex 05 (France)
Publication Date:
OSTI Identifier:
21456993
Resource Type:
Journal Article
Journal Name:
Physical Review. A
Additional Journal Information:
Journal Volume: 82; Journal Issue: 4; Other Information: DOI: 10.1103/PhysRevA.82.043633; (c) 2010 The American Physical Society; Journal ID: ISSN 1050-2947
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 74 ATOMIC AND MOLECULAR PHYSICS; BOSONS; EFIMOV EFFECT; ENERGY LEVELS; INTEGRAL EQUATIONS; SCATTERING LENGTHS; THREE-BODY PROBLEM; TWO-BODY PROBLEM; ULTRAVIOLET RADIATION; DIMENSIONS; ELECTROMAGNETIC RADIATION; EQUATIONS; LENGTH; MANY-BODY PROBLEM; RADIATIONS

Citation Formats

Pricoupenko, Ludovic. Crossover in the Efimov spectrum. United States: N. p., 2010. Web. doi:10.1103/PHYSREVA.82.043633.
Pricoupenko, Ludovic. Crossover in the Efimov spectrum. United States. doi:10.1103/PHYSREVA.82.043633.
Pricoupenko, Ludovic. Fri . "Crossover in the Efimov spectrum". United States. doi:10.1103/PHYSREVA.82.043633.
@article{osti_21456993,
title = {Crossover in the Efimov spectrum},
author = {Pricoupenko, Ludovic},
abstractNote = {A filtering method is introduced for solving the zero-range three-boson problem. This scheme permits solving the original Skorniakov Ter-Martirosian integral equation for an arbitrary large ultraviolet cutoff and avoiding the Thomas collapse of the three particles. The method is applied to a more general zero-range model including a finite-background two-body scattering length and the effective range. A crossover in the Efimov spectrum is found in such systems and a specific regime emerges where Efimov states are long-lived.},
doi = {10.1103/PHYSREVA.82.043633},
journal = {Physical Review. A},
issn = {1050-2947},
number = 4,
volume = 82,
place = {United States},
year = {2010},
month = {10}
}