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A new method for solving the Bethe-Salpeter equation is developed. It allows to find the Bethe-Salpeter amplitudes both in Minkowski and in Euclidean spaces and, as a by product, the light-front wave function. The method is valid for any…

Nuclear Theory · Physics 2009-11-11 V. A. Karmanov , J. Carbonell

Both the no-core shell model and the effective interaction hyperspherical harmonic approaches are applied to the calculation of different response functions to external electromagnetic probes, using the Lorentz integral transform method.…

The Bethe-Salpeter equation plays a crucial role in understanding the physics of correlated fermions, relating to optical excitations in solids as well as resonances in high-energy physics. Yet, it is notoriously difficult to control…

Strongly Correlated Electrons · Physics 2021-08-25 Markus Wallerberger , Hiroshi Shinaoka , Anna Kauch

The delta-shell representation of the nuclear force allows a simplified treatment of nuclear correlations. We show how this applies to the Bethe-Goldstone equation as an integral equation in coordinate space with a few mesh points, which is…

Nuclear Theory · Physics 2017-12-06 I. Ruiz Simo , R. Navarro Perez , J. E. Amaro , E. Ruiz Arriola

For the coefficients of the amplitude a set of simultaneous equations is derived in momentum space. By the auxiliary conditions they are equivalent to nonrelativistic equations and suitable for the investigation of two-nucleon system.

Nuclear Theory · Physics 2016-09-13 Susumu Kinpara

Asymmetric nuclear matter is studied in the frame of relativistic mean-field theory, using scalar-isoscalar sigma, vector-isoscalar omega meson together with their selfinteractions, vector-isovector rho meson with its cross-interaction with…

Nuclear Theory · Physics 2009-11-10 Juraj Kotulic Bunta , Stefan Gmuca

Within the formalism of relativistic quantum field theory an adequate framework for the description of two-particle bound states, such as, for instance, all conventional (i.e., non-exotic) mesons, is provided by the Poincar\'e-covariant…

High Energy Physics - Phenomenology · Physics 2023-01-11 Wolfgang Lucha

We present a generalized Galitskii approach for the Bethe-Salpeter equation for the two-particle vertex function of a Fermi system with resonant interaction by accounting for the resonant state in the scattering potential and utilizing the…

Other Condensed Matter · Physics 2008-01-29 A. Vagov , H. Schomerus , A. Shanenko

The hole spectral function is calculated in nuclear matter to assess the relevance of nucleon-nucleon short range correlations. The calculation is carried out within the Brueckner scheme of many-body theory by using several nucleon-nucleon…

Nuclear Theory · Physics 2009-11-07 M. Baldo , L. Lo Monaco

There is a need for covariant solutions of bound state equations in order to construct realistic QCD based models of mesons and baryons. Furthermore, we ideally need to know the structure of these bound states in all kinematical regimes,…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. G. Williams , K. Kusaka , K. M. Simpson

The thermal evolution of a few thermodynamic properties of the nuclear surface like its thermodynamic potential energy, entropy and the symmetry free energy are examined for both semi-infinite nuclear matter and finite nuclei. The…

Nuclear Theory · Physics 2015-06-19 B. K. Agrawal , D. Bandyopadhyay , J. N. De , S. K. Samaddar

To solve the spinor-spinor Bethe-Salpeter equation in Euclidean space we propose a novel method related to the use of hyperspherical harmonics. We suggest an appropriate extension to form a new basis of spin-angular harmonics that is…

Nuclear Theory · Physics 2008-12-25 S. M. Dorkin , M. Beyer , S. S. Semikh , L. P. Kaptari

The K-matrix formalism is applied to a schematic model for nuclear fission. The purpose is to explore the dependence of observables on the assumptions made about the configuration space and nucleon interaction in the Hamiltonian of the…

Nuclear Theory · Physics 2020-04-01 G. F. Bertsch

A semiclassical theory of linear response in finite Fermi systems, based on the Vlasov equation, and its applications to the study of isoscalar vibrations in heavy nuclei are reviewed. It is argued that the Vlasov equation can be used to…

Nuclear Theory · Physics 2007-05-23 V. I. Abrosimov , A. Dellafiore , F. Matera

We investigate the modification of the transverse electromagnetic interaction between two point-like particles when one particle acquires a finite size. It is shown that the correct treatment of such interaction cannot be accomplished…

Atomic Physics · Physics 2024-01-12 Krzysztof Pachucki , Vladimir A. Yerokhin

A general graded reflection equation algebra is proposed and the corresponding boundary quantum inverse scattering method is formulated. The formalism is applicable to all boundary lattice systems where an invertible R-matrix exists. As an…

Strongly Correlated Electrons · Physics 2009-10-30 Anthony J. Bracken , Xiang-Yu Ge , Yao-Zhong Zhang , Huan-Qiang Zhou

A system of SU(N)-matrix difference equations is solved by means of a nested version of a generalized Bethe Ansatz, also called "off shell" Bethe Ansatz. The highest weight property of the solutions is proved. (Part I of a series of…

High Energy Physics - Theory · Physics 2007-05-23 H. Babujian , M. Karowski , A. Zapletal

The Martin-Schwinger hierarchy of correlations are reexamined and the three-particle correlations are investigated under various partial summations. Besides the known approximations of screened, ladder and maximally crossed diagrams the…

Statistical Mechanics · Physics 2013-05-24 Klaus Morawetz

A quantum system with variables in Z(d) is considered. Coherent density matrices and coherent projectors of rank n are introduced, and their properties (e.g., the resolution of the identity) are dis- cussed. Cooperative game theory and in…

Mathematical Physics · Physics 2017-03-08 A. Vourdas

Electromagnetic and weak transitions tell us a great deal about the structure of atomic nuclei. Yet modeling transitions can be difficult: it is often easier to compute the ground state, if only as an approximation, than excited states. One…

Nuclear Theory · Physics 2020-09-21 Calvin W. Johnson , Ken A. Luu , Yi Lu