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The challenging nuclear many-body problem is discussed along with classifications and qualitative descriptions of existing methods and models. We present detailed derivations of a new method where cluster correlations co-exist with an…

Nuclear Theory · Physics 2018-07-04 D. Hove , E. Garrido , P. Sarriguren , D. V. Fedorov , H. O. U. Fynbo , A. S. Jensen , N. T. Zinner

This work describes a few-body dynamics method based on the Faddeev integral equations in momentum space for determining the total cross sections of fusion and breakup reactions with two- and three-body final channels in the continuum,…

Nuclear Theory · Physics 2026-04-27 Mikhail Egorov

We combine few- and many-body degrees of freedom in a model applicable to both bound and continuum states and adaptable to different subfields of physics. We formulate a self-consistent three-body model for a core-nucleus surrounded by two…

Nuclear Theory · Physics 2017-06-07 D. Hove , E. Garrido , P. Sarriguren , D. V. Fedorov , H. O. U. Fynbo , A. S. Jensen , N. T. Zinner

We realize the treatment of bound and continuum nuclear systems in the proximity of a three-body breakup threshold within the ab initio framework of the no-core shell model with continuum. Many-body eigenstates obtained from the…

Nuclear Theory · Physics 2018-04-04 Sofia Quaglioni , Carolina Romero-Redondo , Petr Navratil , Guillaume Hupin

The many-body states in an extended Fermionic Molecular Dynamics approach are flexible enough to allow the description of nuclei with shell model nature as well as nuclei with cluster and halo structures. Different many-body configurations…

Nuclear Theory · Physics 2009-11-10 T. Neff , H. Feldmeier

The degrees of freedom that confer to strongly correlated systems their many intriguing properties also render them fairly intractable through typical perturbative treatments. For this reason, the mechanisms responsible for these…

Strongly Correlated Electrons · Physics 2022-02-25 Herbert F Fotso , Ka-Ming Tam , Juana Moreno

The reformulated coupled-cluster method (CCM), in which average many-body potentials are introduced, provides a useful framework to organize numerous terms appearing in CCM equations, which enables us to clarify the structure of the CCM…

Nuclear Theory · Physics 2015-06-05 M. Kohno , R. Okamoto

We extend coupled-cluster theory performed on top of a Slater determinant breaking rotational symmetry to allow for the exact restoration of the angular momentum at any truncation order. The main objective relates to the description of…

Nuclear Theory · Physics 2015-06-22 T. Duguet

Correlations in the nuclear wave-function beyond the mean-field or Hartree-Fock approximation are very important to describe basic properties of nuclear structure. Various approaches to account for such correlations are described and…

Nuclear Theory · Physics 2009-11-06 H. Müther , A. Polls

Strongly interacting many-body systems exhibit collective properties that emerge from complex correlations among microscopic degrees of freedom. These cooperative phenomena govern the non-equilibrium response of quantum systems, with…

The exact treatment of nuclei starting from the constituent nucleons and the fundamental interactions among them has been a long-standing goal in nuclear physics. Above all nuclear scattering and reactions, which require the solution of the…

Nuclear Theory · Physics 2015-05-18 Sofia Quaglioni , Petr Navrátil , Robert Roth

The dynamical description of correlated nuclear motion is based on a set of coupled equations of motion for the one-body density matrix $\rho (11';t)$ and the two-body correlation function $c_2(12,1'2';t)$, which is obtained from the…

Nuclear Theory · Physics 2009-02-23 Hong-Gang Luo , W. Cassing , Shun-Jin Wang

Non-perturbative aspects of the quantum many-body problem are revisited, discussed and advanced in the equation of motion framework. We compare the approach to the two-fermion response function truncated on the two-body level by the cluster…

Nuclear Theory · Physics 2020-01-01 Elena Litvinova , Peter Schuck

A three-body semiclassical model is proposed to describe the nucleon transfer and emission reactions in a heavy-ion collision. In this model the two heavy particles, i.e. nuclear cores A$_1(Z_{A_1}, M_{A_1})$ and A$_2(Z_{A_2}, M_{A_2})$,…

Nuclear Theory · Physics 2015-06-16 Renat A. Sultanov , D. Guster

We develop a novel cluster expansion for finite-spin lattice systems subject to multi-body quantum -- and, in particular, classical -- interactions. Our approach is based on the use of ``decoupling parameters", advocated by Park [34], which…

Mathematical Physics · Physics 2023-07-21 Nguyen Tong Xuan , Roberto Fernandez

The cluster decays $^{228}$Th $\rightarrow \, ^{208}$Pb + $^{20}$O, $^{232}$U $\rightarrow \, ^{208}$Pb + $^{24}$Ne, $^{236}$Pu $\rightarrow \, ^{208}$Pb + $^{28}$Mg, $^{242}$Cm $\rightarrow \, ^{208}$Pb + $^{34}$Si are considered in the…

Nuclear Theory · Physics 2013-11-18 V. Yu. Denisov

Efforts to describe nuclear structure and dynamics from first principles have advanced significantly in recent years. Exact methods for light nuclei are now able to include continuum degrees of freedom and treat structure and reactions on…

We report here theoretical investigations on the complexity of nuclear structure, which have been carried out in the framework of different many-body approaches, typically applied to nuclear matter and quark matter studies. The variational,…

Nuclear Theory · Physics 2007-05-23 Wanda M. Alberico

We discuss computational aspects of the spherical coupled-cluster method specific to the nuclear many-body problem. Using chiral nucleon-nucleon interaction at next-to-next-to-next-to leading order (N3LO) with cutoff Lambda = 500MeV, we…

Nuclear Theory · Physics 2015-06-04 Gaute Hagen , Hai Ah Nam

We introduce a fully antisymmetrized treatment of three-cluster dynamics within the ab initio framework of the no-core shell model/resonating-group method (NCSM/RGM). Energy-independent non-local interactions among the three nuclear…

Nuclear Theory · Physics 2013-10-23 S. Quaglioni , C. Romero-Redondo , P. Navrátil
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