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For a system of fermions with a three-body contact interaction the second-order contributions to the energy per particle $\bar E(k_f)$ are calculated exactly. The three-particle scattering amplitude in the medium is derived in closed…

核理论 · 物理学 2015-06-04 N. Kaiser

The study of the three-body problem with short-range attractive two-body forces has a rich history going back to the 1930's. Recent applications of effective field theory methods to atomic and nuclear physics have produced a much improved…

核理论 · 物理学 2009-11-11 R. F. Mohr , R. J. Furnstahl , H. -W. Hammer , R. J. Perry , K. G. Wilson

In the three-body problem with positive energy, solutions which avoid triple collision have the property that the size of the triangle formed by the bodies tends to infinity as $t\rightarrow \pm\infty$. Furthermore, the triangles have…

动力系统 · 数学 2026-02-20 Richard Moeckel

We develop a theoretical method within the framework of relativistic many-body theory to accurately treat correlation corrections in atoms with few valence electrons. This method combines the all-order approach currently used in precision…

原子物理 · 物理学 2009-09-01 M. S. Safronova , M. G. Kozlov , W. R. Johnson , Dansha Jiang

The scattering of a weakly bound three-body system by a target is discussed. A transformed harmonic oscillator basis is used to provide an appropriate discrete and finite basis for treating the continuum part of the spectrum of the…

We study the scattering of a particle from a bound pair in an effective field theory using a distorted-wave renormalisation group method to find the power-counting for the three-body force terms. We find that three-body terms appear at…

核理论 · 物理学 2007-05-23 T. Barford , M. C. Birse

In this paper, we study the relativistic effects in a three-body bound state. For this purpose, the relativistic form of the Faddeev equations is solved in momentum space as a function of the Jacobi momentum vectors without using a partial…

核理论 · 物理学 2020-02-10 M. R. Hadizadeh , M. Radin , K. Mohseni

Most of our quantitative understanding of disorder-induced metal-insulator transitions comes from numerical studies of simple noninteracting tight-binding models, like the Anderson model in three dimensions. An important outstanding problem…

量子气体 · 物理学 2020-10-07 Filippo Stellin , Giuliano Orso

We study the phase diagram of ultra-cold bosonic polar molecules loaded on a two-dimensional optical lattice of hexagonal symmetry controlled by external electric and microwave fields. Following a recent proposal in Nature Physics…

量子气体 · 物理学 2011-05-11 Lars Bonnes , Hanspeter Büchler , Stefan Wessel

A three-body scattering process in the presence of Coulomb interaction can be decomposed formally into a two-body single channel, a two-body multichannel and a genuine three-body scattering. The corresponding integral equations are coupled…

原子物理 · 物理学 2009-11-07 Z. Papp , C-. Y. Hu , Z. T. Hlousek , B. Kónya , S. L. Yakovlev

Dynamically exact calculations of a quasi-bound state in the $\bar{K}\bar{K}N$ three-body system are performed using Faddeev-type AGS equations. As input two phenomenological and one chirally motivated $\bar{K}N$ potentials are used, which…

核理论 · 物理学 2015-10-21 N. V. Shevchenko , J. Haidenbauer

Four-body equations in momentum space are solved for neutron-$\He$, proton-$\Hh$, and deuteron-deuteron scattering; all three reactions are coupled. The Coulomb interaction between the protons is included using the screening and…

核理论 · 物理学 2008-11-26 A. Deltuva , A. C. Fonseca

We compute the energy per particle of infinite symmetric nuclear matter from chiral N3LO (next-to-next-to-next-to-leading order) two-body potentials plus N2LO three-body forces. The low-energy constants of the chiral three-nucleon force…

核理论 · 物理学 2014-04-28 L. Coraggio , J. W. Holt , N. Itaco , R. Machleidt , L. E. Marcucci , F. Sammarruca

Background: Theoretical calculations of the four-particle scattering above the four-cluster breakup threshold are technically very difficult due to nontrivial singularities or boundary conditions. Further complications arise when the…

核理论 · 物理学 2017-06-05 A. Deltuva , A. C. Fonseca

This work presents three-body calculations of the cross sections for the $^3$He+T $\to$ n+p+$^4$He fusion reaction. These calculations were performed by solving a set of six coupled Faddeev integral equations, utilizing a cluster…

核理论 · 物理学 2025-12-19 M. V. Egorov

We report on microscopic calculations for the 4He compound system in the framework of the resonating group model employing realistic nucleon-nucleon and three nucleon forces. The resulting scattering phase shifts are compared to those of a…

核理论 · 物理学 2008-11-26 Hartmut M. Hofmann , Gerald M. Hale

The interaction of an $\eta$-meson with two nucleons is studied within a three-body approach. The major features of the $\eta NN$-system in the low-energy region are accounted for by using a s-wave separable ansatz for the two-body $\eta…

核理论 · 物理学 2011-07-19 A. Fix , H. Arenhoevel

We present a method for treatment of three charged particles. The proposed method has universal character and is applicable both for bound and continuum states. A finite rank approximation is used for Coulomb potential in three-body system…

核理论 · 物理学 2010-12-16 Vladimir B. Belyaev , Andrey A. Naumkin

We study the scattering of a light particle on a bound pair of heavy particles (e.g., the deuteron) within the fixed center approximation in the case of light-heavy attraction, solving the integral equation for the three-body Green's…

核理论 · 物理学 2016-12-08 Alexander E. Kudryavtsev , Vakhid A. Gani , Alexander I. Romanov

The properties and the isospin dependence of the liquid-gas phase transition in hot asymmetric nuclear matter have been investigated within the framework of the finite temperature Brueckner-Hartree-Fock approach extended to include the…

核理论 · 物理学 2008-11-26 W. Zuo , Z. H. Li , A. Li , U. Lombardo