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Binding energies calculated from using the Bethe-Salpeter equation in the simplest ladder approximation significantly differ from those obtained in the non-relativistic standard instantaneous approximation. While they should a priori be…

Nuclear Theory · Physics 2007-05-23 G. Le Gorrec , B. Desplanques

It is known that binding energies calculated from the Bethe-Salpeter equation in ladder approximation can be reasonably well accounted for by an energy-dependent interaction, at least for the lowest states. It is also known that none of…

Nuclear Theory · Physics 2009-11-06 A. Amghar , B. Desplanques , L. Theussl

Bethe-Salpeter and light-front bound state equations for three scalar particles interacting by scalar exchange-bosons are solved in ladder truncation. In contrast to two-body systems, the three-body binding energies obtained in these two…

High Energy Physics - Phenomenology · Physics 2009-08-05 V. A. Karmanov , P. Maris

In relativistic frameworks, given by the Bethe-Salpeter and light-front bound state equations, the binding energies of system of three scalar particles interacting by scalar exchange particles are calculated. In contrast to two-body…

High Energy Physics - Phenomenology · Physics 2009-02-19 V. A. Karmanov , P. Maris

We extend the Bethe-Salpeter formalism to systems made of five valence particles. Restricting ourselves to two-body interactions, we derive the subtraction terms necessary to prevent overcounting. We solve the five-body Bethe-Salpeter…

High Energy Physics - Phenomenology · Physics 2025-02-26 Gernot Eichmann , M. T. Peña , Raul D. Torres

The Bethe-Salpeter equation for three bosons with zero-range interaction is solved for the first time. For comparison the light-front equation is also solved. The input is the two-body scattering length and the outputs are the three-body…

Nuclear Theory · Physics 2017-05-24 E. Ydrefors , J. H. Alvarenga Nogueira , V. Gigante , T. Frederico , V. A. Karmanov

It is shown that field-theory based single boson exchange potentials cannot be identified to those of the Yukawa or Coulomb type that are currently inserted in the Schr\"odinger equation. The potential which is obtained rather corresponds…

Nuclear Theory · Physics 2009-10-31 A. Amghar , B. Desplanques

We consider a generalization of the spin-boson model in which two different two-level systems are coupled to an oscillator, under conditions where the oscillator energy is much less than the two-level system energies, and where the…

Quantum Physics · Physics 2009-11-13 Peter L. Hagelstein , Irfan U. Chaudhary

The ladder Bethe-Salpeter Equation of a bound (1/2)+ system, composed by a fermion and a scalar boson, is solved in Minkowski space, for the first time. The formal tools are the same already successfully adopted for two-scalar and…

High Energy Physics - Phenomenology · Physics 2019-08-07 J. H. Alvarenga Nogueira , D. Colasante , V. Gherardi , T. Frederico , E. Pace , G. Salmè

The deuteron charge - exchange reaction pD->n(pp) for the low values of momentum transfer and small excitation energies of final pp - pair is considered in the framework of Bethe - Salpeter approach. The method of calculation of the…

Nuclear Theory · Physics 2008-11-26 S. M. Dorkin , L. P. Kaptari , B. Kaempfer , S. S. Semikh

Treating the trion problem as an effective two-body system with exciton and electron components, we identify component exchange as the reason leading to trion formation. This mechanism can be visualized as a hole that toggles back and forth…

Materials Science · Physics 2025-03-04 Dinh Van Tuan , Hanan Dery

In recent studies of the one and two-body Greens' function for scalar interactions it was shown that crossed ladder and ``crossed rainbow'' (for the one-body case) exchanges play a crucial role in nonperturbative dynamics. In this letter we…

Nuclear Theory · Physics 2014-11-18 Cetin Savkli , Franz Gross , John Tjon

A three-dimensional reduction of the two-particle Bethe-Salpeter equation is proposed. The proposed reduction is in the framework of light-front dynamics. It yields auxiliary quantities for the transition matrix and the bound state. The…

Nuclear Theory · Physics 2009-10-31 J. H. O. Sales , T. Frederico , B. V. Carlson , P. U. Sauer

The pole of the two-particle T-matrix including the influence of the surrounding medium is analyzed for an interacting Bose gas. The phase diagram of the Bose -Einstein condensation (BEC) depending on the temperature, density, scattering…

Other Condensed Matter · Physics 2016-09-08 K. Morawetz M. Männel , M. Schreiber , P. Lipavský

The problem of calculating of the mass spectrum of the two-body Bethe-Salpeter equation is studied with no reduction to the three-dimensional ("quasipotential") equation. The method to find the ground state and excited states for a channel…

High Energy Physics - Phenomenology · Physics 2015-06-25 A. Yu. Umnikov , F. C. Khanna

The elastic backward proton-deuteron scattering is analyzed within a covariant approach based on the Bethe-Salpeter equation with realistic meson-exchange interaction. Contributions of the one-nucleon and one-pion exchange mechanisms to the…

Nuclear Theory · Physics 2009-09-25 L. P. Kaptari , B. Kaempfer , S. M. Dorkin , S. S. Semikh

An effective action for Bose-Hubbard model with two- and three-body on-site interaction in a square optical lattice is derived in the frame of a strong-coupling approach developed by Sengupta and Dupuis. From this effective action,…

Quantum Gases · Physics 2015-06-12 Beibing Huang , Shaolong Wan

Two-body and three-body systems of scalar bosons are considered in the framework of covariant constraint dynamics. The reduced equation obtained after eliminating redundant degrees of freedom can be viewed as an eigenvalue equation for an…

High Energy Physics - Theory · Physics 2009-11-07 Philippe Droz-Vincent

Understanding non-equilibrium quantum dynamics of many-body systems is one of the most challenging problems in modern theoretical physics. While numerous approximate and exact solutions exist for systems in equilibrium, examples of…

Quantum Gases · Physics 2010-12-09 Vladimir Gritsev , Peter Barmettler , Eugene Demler

Medium modification of scattering properties in interacting Bose systems are considered by solving the Bethe-Salpeter equation. An equation of state for the normal phase (generalized Beth-Uhlenbeck formula) is given using the in-medium…

Atomic Physics · Physics 2009-10-31 H. Stein , K. Morawetz , G. Röpke
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