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The Faddeev Yakubovsky equations constitute a rigorous formulation of the quantum mechanical N body problem in the framework of non relativistic dynamics. They allow the exact solutions of the Schrodinger equation for bound and scattering…

Nuclear Theory · Physics 2020-02-17 Rimantas Lazauskas , Jaume Carbonell

Quantum many-body simulation provides a straightforward way to understand fundamental physics and connect with quantum information applications. However, suffering from exponentially growing Hilbert space size, characterization in terms of…

We derive coupled-cluster equations for three-body Hamiltonians. The equations for the one- and two-body cluster amplitudes are presented in a factorized form that leads to an efficient numerical implementation. We employ low-momentum two-…

Nuclear Theory · Physics 2008-11-26 G. Hagen , T. Papenbrock , D. J. Dean , A. Schwenk , A. Nogga , M. Wloch , P. Piecuch

We present a pedagogical discussion of Similarity Renormalization Group (SRG) methods, in particular the In-Medium SRG (IMSRG) approach for solving the nuclear many-body problem. These methods use continuous unitary transformations to…

Nuclear Theory · Physics 2017-06-28 H. Hergert , S. K. Bogner , J. G. Lietz , T. D. Morris , S. J. Novario , N. M. Parzuchowski , F. Yuan

Exotic cluster decay of very heavy nuclei has been studied in the microscopic Super-Asymmetric Fission Model. Relativistic Mean Field model with the force FSU Gold has been employed to obtain the densities of the cluster and the daughter…

Nuclear Theory · Physics 2008-11-26 Madhubrata Bhattacharya , G. Gangopadhyay

In order to extract informations on pairing correlations in nuclei from experimental mass differences, the different contributions to odd-even mass differences are investigated within the Skyrme HFB method. In this first paper, the…

Nuclear Theory · Physics 2009-11-07 T. Duguet , P. Bonche , P. -H. Heenen , J. Meyer

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

We introduce a new model applying to the core-nucleus and two-neutron system. The Faddeev equations of 6He-n-n and 8He-n-n systems for 8He and 10He are solved, respectively. The potential of the subsystem in the model has been determined to…

Nuclear Theory · Physics 2013-07-30 H. Kamada , M. Yamaguchi , E. Uzu

The two-fermion two-point correlation function in the pairing channel is discussed in the equation of motion framework. Starting from the bare two-fermion interaction, we derive the equation of motion for the two-fermion pair propagator in…

Nuclear Theory · Physics 2020-11-17 Elena Litvinova , Peter Schuck

The transition from a few-body system to a many-body system can result in new length scales, novel collective phenomena or even in a phase transition. Such a threshold behavior was shown for example in 4He droplets, where 4He turns into a…

Understanding the substructure of atomic nuclei, particularly the clustering of nucleons inside them, is essential for comprehending nuclear dynamics. Various cluster configurations can emerge depending on excitation energy, the number and…

We apply the coupled cluster method (CCM) to the Hamiltonian version of the latticised O(4) non-linear sigma model. The method, which was initially developed for the accurate description of quantum many-body systems, gives rise to two…

High Energy Physics - Lattice · Physics 2009-10-30 N. E. Ligterink , N. R. Walet , R. F. Bishop

The physics of open quantum systems is an interdisciplinary area of research. The nuclear "openness" manifests itself through the presence of the many-body continuum representing various decay, scattering, and reaction channels. As the…

Nuclear Theory · Physics 2015-06-17 A. T. Kruppa , G. Papadimitriou , W. Nazarewicz , N. Michel

In this work it is shown that there are symmetries beyond the Euclidean group $E\left(3\right)$ in 3-body problem, and by extension in many-body problem, with inverse squared distance inter particle force. The symmetries in 3-body problem…

General Physics · Physics 2025-01-24 Siddhesh C. Ambhire

In this work, we report on a detailed simulation of the Bullet Cluster (1E0657-56) merger, including magnetohydrodynamics, plasma cooling, and adaptive mesh refinement. We constrain the simulation with data from gravitational lensing…

Cosmology and Nongalactic Astrophysics · Physics 2014-05-21 Craig Lage , Glennys Farrar

The effective independent-particle (mean-field) approximation of the Hubbard Hamiltonian is described in a many-body basis to develop a formal comparison with the exact diagonalization of the full Hubbard model, using small atomic chain as…

Strongly Correlated Electrons · Physics 2023-08-09 Antoine Honet , Luc Henrard , Vincent Meunier

In this lecture we aim to present a formalism based on Faddeev-like equations for describing nuclear three-cluster reactions that include elastic, transfer and breakup channels. Two different techniques based on momentum-space and…

Nuclear Theory · Physics 2012-01-25 A. Deltuva , A. C. Fonseca , R. Lazauskas

Exotic cluster decay of very heavy nuclei is studied using the microscopic nuclear potentials obtained by folding density dependent M3Y effective interaction with the densities of the cluster and the daughter nuclei. The microscopic nuclear…

Nuclear Theory · Physics 2009-06-24 T. R. Routray , Jagajjaya Nayak , D. N. Basu

A comparative study of the equation of state for pure neutron matter and symmetric nuclear matter is presented using three ab initio methods based on diagrammatic expansions: coupled-cluster theory, self-consistent Green's functions, and…

Nuclear Theory · Physics 2026-02-06 Francesco Marino , Weiguang Jiang , Samuel J. Novario

Characterizing the correlated behavior of nucleons inside atomic nuclei constitutes a long-standing challenge, both experimentally and theoretically. It has recently been understood that two-particle correlations in the azimuthal…

Nuclear Theory · Physics 2026-03-04 Stavros Bofos , Benjamin Bally , Thomas Duguet , Mikael Frosini