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Pis'ma v Zhurnal Èksperimental'noi i Teoreticheskoi Fiziki, 2005, Volume 82, Issue 5, Pages 306–311
(Mi jetpl1552)
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This article is cited in 49 scientific papers (total in 49 papers)
CONDENSED MATTER
Bound states of three and four resonantly interacting particles
I. V. Brodskya, A. V. Klaptsovb, M. Yu. Kagana, R. Combescotc, X. Leyronasc a P. L. Kapitza Institute for Physical Problems
b Russian Research Centre "Kurchatov Institute"
c Laboratoire de Physique Statistique, Ècole Normale Supérieure, 75231 Paris Cedex 05, France
Abstract:
We present an exact diagrammatic approach for the problem of dimer-dimer scattering in 3D for dimers being a resonance bound state of two fermions in a spin-singlet state, with corresponding scattering length $a_F$. Applying this approach to the calculation of the dimer-dimer scattering length $a_B$, we recover exactly the already known result $a_B=0.6\,a_F$. We use the developed approach to obtain new results in 2D for fermions as well as for bosons. Namely, we calculate bound state energies for three $bbb$ and four $bbbb$ resonantly interacting bosons in 2D. For the case of resonance interaction between fermions and bosons we calculate exactly bound state energies of the following complexes: two bosons plus one fermion $bbf$, two bosons plus two fermions $bf_{\uparrow}bf_{\downarrow}$, and three bosons plus one fermion $bbbf$.
Received: 12.07.2005
Citation:
I. V. Brodsky, A. V. Klaptsov, M. Yu. Kagan, R. Combescot, X. Leyronas, “Bound states of three and four resonantly interacting particles”, Pis'ma v Zh. Èksper. Teoret. Fiz., 82:5 (2005), 306–311; JETP Letters, 82:5 (2005), 273–278
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https://www.mathnet.ru/eng/jetpl1552 https://www.mathnet.ru/eng/jetpl/v82/i5/p306
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Abstract page: | 249 | Full-text PDF : | 77 | References: | 49 |
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