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Письма в Журнал экспериментальной и теоретической физики, 2005, том 82, выпуск 5, страницы 306–311
(Mi jetpl1552)
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Эта публикация цитируется в 49 научных статьях (всего в 49 статьях)
КОНДЕНСИРОВАННЫЕ СРЕДЫ
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
Аннотация:
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 $bbbf$.
Поступила в редакцию: 12.07.2005
Образец цитирования:
I. V. Brodsky, A. V. Klaptsov, M. Yu. Kagan, R. Combescot, X. Leyronas, “Bound states of three and four resonantly interacting particles”, Письма в ЖЭТФ, 82:5 (2005), 306–311; JETP Letters, 82:5 (2005), 273–278
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/jetpl1552 https://www.mathnet.ru/rus/jetpl/v82/i5/p306
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Страница аннотации: | 261 | PDF полного текста: | 88 | Список литературы: | 63 |
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