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A numerically implementable Multi-scale Many-Body approach to strongly correlated electron systems is introduced. An extension to quantum cluster methods, it approximates correlations on any given length-scale commensurate with the strength…

Strongly Correlated Electrons · Physics 2012-01-04 C. Slezak , M. Jarrell , Th. Maier , J. Deisz

The Faddeev technique is employed to address the problem of describing the influence of both particle-particle and particle-hole phonons on the single-particle self-energy. The scope of the few-body Faddeev equations is extended to describe…

Nuclear Theory · Physics 2009-11-06 C. Barbieri , W. H. Dickhoff

In this paper, we present an energy method for the system of Boltzmann equations in the multicomponent mixture case, based on a micro-macro decomposition. More precisely, the perturbation of a solution to the Boltzmann equation around a…

Analysis of PDEs · Mathematics 2023-05-24 Laurent Boudin , Bérénice Grec , Milana Pavić-Čolić , Srboljub Simić

The Faddeev-Yakubovsky equations have been solved in configuration space for the four nucleon system. The n+t elastic cross section has been calculated using several realistic interactions and a phenomenological three-nucleon force. Special…

Nuclear Theory · Physics 2009-10-31 F. Ciesielski , J. Carbonell , C. Gignoux

The constant pairing Hamiltonian holds exact solutions worked out by Richardson in the early Sixties. This exact solution of the pairing Hamiltonian regained interest at the end of the Nineties. The discret complex-energy states had been…

Mathematical Physics · Physics 2017-07-12 Rodolfo M. Id Betan

We reconsider the homogeneous Faddeev-Merkuriev integral equations for three-body Coulombic systems with attractive Coulomb interactions and point out that the resonant solutions are contaminated with spurious resonances. The spurious…

Atomic Physics · Physics 2009-11-07 Z. Papp , J. Darai , A. Nishimura , Z. T. Hlousek , C. -Y. Hu , S. L. Yakovlev

The recent calculation of the four nucleon continuum spectrum are reviewed. Faddeev-Yakubovsky equations in configuration space have been solved for the four nucleon system with special interest in their scattering states. We present…

Nuclear Theory · Physics 2009-11-07 J. Carbonell

The polarization transfer coefficient $K_y^{y'}$ for the $^2$H$(\vec{d}, \vec{p})^3$H reaction at energies $E_{\rm lab.} = 30$, 50, 70, and 90keV is calculated using the four-body Faddeev-Yakubovsky equation. We employ a separable type of…

Nuclear Theory · Physics 2007-05-23 Eizo Uzu

We implement complex scaling of Faddeev equations using hyper-spheric coordinates and adiabatic expansion. Complex scaling of coordinates allows convenient calculations of three-body resonances. We derive the necessary equations and…

Nuclear Theory · Physics 2009-11-10 D. V. Fedorov , E. Garrido , A. S. Jensen

Electron-hydrogen scattering is studied in the Faddeev-Merkuriev integral equation approach. The equations are solved by using the Coulomb-Sturmian separable expansion technique. We present $S$- and $P$-wave scattering and reactions cross…

Atomic Physics · Physics 2009-11-07 Z. Papp , C-. Y. Hu

The authors argue that the calculated $^6$He binding energies by the solution of the coupled Faddeev-Yakubovsky integral equation in a Three-dimensional scheme reported by E. Ahmadi Pouya and A. A. Rajabi [Int. J. Mod. Phys. E 25, 9 (2016)…

Nuclear Theory · Physics 2017-11-17 M. R. Hadizadeh , M. Radin , S. Bayegan

We derive the dynamical equations which consistently couple the four--body ($\pi$NNN) system to the underlying three--nucleon system. Our treatment can be considered the proper generalization of the Afnan--Blankleider equations for the…

Nuclear Theory · Physics 2008-11-26 L. Canton , G. Cattapan

A recently developed three-dimensional Faddeev integral equations for three-nucleon bound state with two-nucleon interactions have been solved in momentum space for Bonn-B potential.

Nuclear Theory · Physics 2009-01-16 S. Bayegan , M. R. Hadizadeh , M. Harzchi

A numerical method close to the Strutinsky procedure (but better) is proposed to calculate the deformation energy of nuclei. Quadrupole (triaxial) deformations are considered. Theoretical as well as practical aspects of the method are…

Nuclear Theory · Physics 2015-06-04 B. Mohammed-Azizi

Development of the method of CDCC (Continuum-Discretized Coupled-Channels) from the level of three-body CDCC to that of four-body CDCC is reviewed. Introduction of the pseudo-state method based on the Gaussian expansion method for…

Nuclear Theory · Physics 2015-06-26 M. Kamimura , T. Matsumoto , E. Hiyama , K. Ogata , Y. Iseri , M. Yahiro

A recently developed three-dimensional formalism for the nucleon-deuteron breakup channel initially considered only the leading-order term of the Faddeev equations, using the nucleon-nucleon T-matrix to compute the breakup amplitude. In the…

Nuclear Theory · Physics 2026-01-01 Reza Ramazani-Sharifabadi , Iman Ziaeian

In the past, several efficient methods have been developed to solve the Schroedinger equation for four-nucleon bound states accurately. These are the Faddeev-Yakubovsky, the coupled-rearrangement-channel Gaussian-basis variational, the…

A novel method for calculating resonances in three-body Coulombic systems is presented. The Faddeev-Merkuriev integral equations are solved by applying the Coulomb-Sturmian separable expansion method. To show the power of the method we…

Atomic Physics · Physics 2007-05-23 Z. Papp , S. L. Yakovlev , C-. Y. Hu , J. Darai , I. N. Filikhin , B. Kónya

The book covers the certain questions of nuclear physics and nuclear astrophysics of light atomic nuclei and their processes at low and ultralow energies. Some methods of calculation of nuclear characteristics of the thermonuclear processes…

Nuclear Theory · Physics 2012-01-18 S. B. Dubovichenko

This work concerns the numerical approximation with a finite volume method of inviscid, nonequilibrium, high-temperature flows in multiple space dimensions. It is devoted to the analysis of the numerical scheme for the approximation of the…

Numerical Analysis · Mathematics 2021-03-08 Claude Marmignon , Fabio Naddei , Florent Renac
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