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An important ingredient for applications of nuclear physics to e.g. astrophysics or nuclear energy are the cross sections for reactions of neutrons with rare isotopes. Since direct measurements are often not possible, indirect methods like…

Nuclear Theory · Physics 2016-12-28 L. Hlophe , Ch. Elster

Methods of the explicitly correlated F12 approach are applied to the problem of calculating the uncoupled second-order dispersion energy in symmetry-adapted perturbation theory. The accuracy of the new method is tested for noncovalently…

Chemical Physics · Physics 2018-05-15 Michal Przybytek

Three- and four-nucleon photodisintegration processes are quite efficiently treated by means of effective two-body integral equations in momentum space. We recall some aspects of their derivation, present previous and most recent results…

Nuclear Theory · Physics 2009-10-30 W. Sandhas , W. Schadow , G. Ellerkmann , L. L. Howell , S. A. Sofianos

Faddeev-Yakubovski equations are solved numerically for 4He tetramer and trimer states using realistic helium-helium interaction models. We describe the properties of ground and excited states, and we discuss with a special emphasis the…

Atomic Physics · Physics 2007-05-23 R. Lazauskas , J. Carbonell

The three--nucleon scattering problem in a nuclear medium is considered within the Faddeev technique. In particular the deuteron break--up cross section that governs the formation and the break--up reactions of deuterons (NNN <-> Nd) in a…

Nuclear Theory · Physics 2009-10-30 M. Beyer , G. Röpke , A. Sedrakian

The paper is devoted to the $\bar{K}NNN$ system, consisting of an antikaon and three nucleons. Four-body Faddeev-type AGS equations are being solved in order to find possible quasi-bound state in the system.

Nuclear Theory · Physics 2019-12-16 N. V. Shevchenko

The development and first applications of a new periodic energy decomposition analysis (pEDA) scheme for extended systems based on the Kohn-Sham approach to density functional theory are described. The pEDA decomposes the binding energy…

Chemical Physics · Physics 2015-05-19 Marc Raupach , Ralf Tonner

In this paper we calculate kinetic, potential and full energy with three- and four-particle direct correlations taken into account at wide temperature region on the base of the density matrix of the interacting Bose-particles [I. O.…

Quantum Gases · Physics 2015-06-15 Ivan Vakarchuk , Orest Hryhorchak

Energy-based fragmentation methods approximate the potential energy of a molecular system as a sum of contribution terms built from the energies of particular subsystems. Some such methods reduce to truncations of the many-body expansion…

Numerical Analysis · Mathematics 2025-09-25 James Barker , Michael Griebel , Jan Hamaekers

The theory for condensation of higher fermionic clusters is developed. Fully selfconsistent nonlinear equations for the quartet order parameter in strongly coupled fermionic systems are established and solved. The breakdown of the…

Quantum Gases · Physics 2011-02-28 Takaaki Sogo , Gerd Röpke , Peter Schuck

Using a generalized Bohr model and the hyper-spherical formalism for a three-body system, we derive the Thomas theorem assuming a simple interaction depending on the range of the potential. We discuss the conditions for which an unbound…

Nuclear Theory · Physics 2020-08-13 H. Zheng , A. Bonasera

A large collaboration carefully benchmarks 20 first principles many-body electronic structure methods on a test set of 7 transition metal atoms, and their ions and monoxides. Good agreement is attained between the 3 systematically converged…

The inclusion of the three-nucleon forces (3NFs) in \textit{ab initio} many-body approaches is a formidable task, due to the computational load implied by the treatment of their matrix elements. For this reason, practical applications have…

Nuclear Theory · Physics 2017-01-30 F. Raimondi , C. Barbieri

For singularly perturbed convection-diffusion problems, supercloseness analysis of finite element method is still open on Bakhvalov-type meshes, especially in the case of 2D. The difficulties arise from the width of the mesh in the layer…

Numerical Analysis · Mathematics 2023-03-07 Chunxiao Zhang , Jin Zhang

Compound-nuclear processes play an important role for nuclear physics applications and are crucial for our understanding of the nuclear many-body problem. Despite intensive interest in this area, some of the available theoretical…

Nuclear Theory · Physics 2015-06-19 Brett V. Carlson , Jutta E. Escher , Mahir S. Hussein

We describe heavy baryons as bound states of a quark and a diquark. For this purpose we derive the Faddeev equation for baryons containing a single heavy quark from a Nambu-Jona-Lasinio type of model which is appropriately extended to…

High Energy Physics - Phenomenology · Physics 2014-11-17 D. Ebert , T. Feldmann , C. Kettner , H. Reinhardt

We generalize a recently developed method for accelerated Monte Carlo calculation of path integrals to the physically relevant case of generic many-body systems. This is done by developing an analytic procedure for constructing a hierarchy…

Statistical Mechanics · Physics 2011-08-08 Aleksandar Bogojevic , Ivana Vidanovic , Antun Balaz , Aleksandar Belic

We discuss a recent test of the performance of the kinetic energy partition method (KEP) through its application to two separable quantum-mechanical models. We argue that one of the benchmark models is exceedingly simple for testing any…

Quantum Physics · Physics 2020-12-01 Francisco M. Fernández

We present an overview of the evolution of ab initio methods for few-nucleon systems with A \ge 4, tracing the progress made that today allows precision calculations for these systems. First a succinct description of the diverse approaches…

Nuclear Theory · Physics 2015-06-04 Winfried Leidemann , Giuseppina Orlandini

The study of quantum chromodynamics (QCD) over the past quarter century has had relatively little impact on the traditional approach to the low-energy nuclear many-body problem. Recent developments are changing this situation. New…

Nuclear Theory · Physics 2009-11-07 R. J. Furnstahl