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We solve the Bethe-Salpeter equation for two-particle scattering in a field-theoretical model using two lagrangians related by a field transformation. The kernel of the equation consists of the sum of all tree-level diagrams for each…

Nuclear Theory · Physics 2009-11-07 S. Kondratyuk , A. D. Lahiff , H. W. Fearing

Response functions of infinite nuclear matter with arbitrary isospin asymmetry are studied in the framework of the random phase approximation. The residual interaction is derived from a general nuclear Skyrme energy density functional.…

Nuclear Theory · Physics 2015-06-11 A. Pastore , D. Davesne , J. Navarro

A finite element approach for approximating the solution of a mathematical model for the response of a penetrable, bounded object (obstacle) to the excitation by an external electromagnetic field is presented and investigated. The model…

Numerical Analysis · Mathematics 2026-04-16 Lutz Angermann

The linear response of the nucleus to an external field contains unique information about the effective interaction, correlations, and properties of its excited states. To characterize the response, it is useful to use its energy-weighted…

Nuclear Theory · Physics 2015-04-28 Nobuo Hinohara , Markus Kortelainen , Witold Nazarewicz , Erik Olsen

The Bethe-Salpeter equation (BSE) is currently the state of the art in the description of neutral electron excitations in both solids and large finite systems. It is capable of accurately treating charge-transfer excitations that present…

The Bethe-Salpeter approach allows for quantum-field-theoretic descriptions of relativistic bound states; its inherent complexity, however, usually prevents to find its exact solutions. Under suitable simplifying assumptions about the…

High Energy Physics - Phenomenology · Physics 2013-05-30 Wolfgang Lucha , Franz F. Schoberl

In previous publications dressed coordinates and dressed states has been introduced. Specifically, a system composed by a harmonic oscillator interacting linearly with an infinity set of other oscillators has been treated. In this paper we…

Atomic Physics · Physics 2009-11-10 G. Flores Hidalgo , Y. W. Milla

Nuclear response theory beyond the one-loop approximation is formulated for the case of finite temperature. For this purpose, the time blocking approximation to the time-dependent part of the in-medium nucleon-nucleon interaction amplitude…

Nuclear Theory · Physics 2018-08-29 Elena Litvinova , Herlik Wibowo

We consider the exact solution of a model of correlated particles, which is presented as a system of interacting XX and Fateev-Zamolodchikov chains. This model can also be considered as a generalization of the multiband anisotropic $t-J$…

Statistical Mechanics · Physics 2009-10-31 F. C. Alcaraz , R. Z. Bariev

The gap equation with dressed propagators is solved in symmetric nuclear matter. Nucleon self-energies are obtained within the self-consistent in medium T matrix approximation. The off-shell gap equation is compared to an effective…

Nuclear Theory · Physics 2009-11-07 P Bozek

Many quantum field theoretical models possess non-trivial solutions which are stable for topological reasons. We construct a self-consistent example for a self-interacting scalar field--the quantum (or dressed) kink--using a two particle…

High Energy Physics - Theory · Physics 2009-11-10 Y. Bergner , Luis M. A. Bettencourt

The equation of state of symmetric nuclear matter is addressed starting both from a realistic interaction derived from nucleon-nucleon scattering processes and from a low-momentum effective potential. The approach is based on finite…

Nuclear Theory · Physics 2008-12-18 V. Soma

The Bethe-Salpeter equation provides the most widely used technique to extract bound states and resonances in a relativistic Quantum Field Theory. Nevertheless a thorough discussion how to identify its solutions with physical states is…

High Energy Physics - Theory · Physics 2009-10-31 S. Ahlig , R. Alkofer

The Bethe-Salpeter equation (BSE) is the key equation in many-body perturbation theory based on Green's functions to access response properties. Within the $GW$ approximation to the exchange-correlation kernel, the BSE has been successfully…

Chemical Physics · Physics 2023-02-15 Roberto Orlando , Pina Romaniello , Pierre-François Loos

The effect of correlations between the slope and the curvature of the symmetry energy on ground state nuclear observables is studied within the extended Thomas-Fermi approximation. We consider different isovector probes of the symmetry…

Nuclear Theory · Physics 2018-06-20 Ad. R. Raduta , F. Gulminelli

It is demonstrated that the "dressed particle" approach to relativistic local quantum field theories does not contradict Haag's theorem. On the contrary, "dressing" is the way to overcome the difficulties revealed by Haag's theorem.

Mathematical Physics · Physics 2007-05-23 M. I. Shirokov

Treating the quark and diquark as elementary particles, the Bethe-Salpeter equation for the nucleon is solved numerically. The dependence of the mass on the diquark mass and on the coupling constants is investigated. The resulting…

Nuclear Theory · Physics 2009-10-28 H. Meyer

A quantum-field approach for describing many-particle Fermi systems at finite temperatures and with spontaneously broken symmetry has been proposed. A generalized model of self-consistent field (SCF), which allows one to describe the states…

Statistical Mechanics · Physics 2013-03-21 Yu. M. Poluektov

We explore the connection between the four-dimensional Minkowski-space Bethe-Salpeter equation and its light-front projection, emphasizing the implications for bound-state dynamics. Our approach incorporates dressed particles, such as…

High Energy Physics - Phenomenology · Physics 2026-01-21 Wayne de Paula , Tobias Frederico

The response function to an external prove is evaluated using the ring approximation in nuclear matter. Contrary to what it is usually assumed, it is shown that the summation of the ring series and the solution of the Dyson's equation are…

Nuclear Theory · Physics 2008-05-02 E. Bauer