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Related papers: Two-Body Density Matrix for Closed s-d Shell Nucle…

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$\mathbf{Background:}$ Realistic nucleon-nucleon interactions induce short-range correlations in nuclei. To solve the many-body problem unitary transformations like the similarity renormalization group (SRG) are often used to soften the…

Nuclear Theory · Physics 2015-08-19 Thomas Neff , Hans Feldmeier , Wataru Horiuchi

The energy and structure of dilute gases of hard spheres in three dimensions is discussed, together with some aspects of the corresponding 2D systems. A variational approach in the framework of the Hypernetted Chain Equations (HNC) is used…

Statistical Mechanics · Physics 2009-11-10 F. Mazzanti , A. Polls , A. Fabrocini

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

Atomic nuclei are complex strongly interacting systems and their exact theoretical description is a long-standing challenge. An approximate description of nuclei can be achieved by separating its short and long range structure. This…

Nuclear Theory · Physics 2018-05-08 R. Weiss , R. Cruz-Torres , N. Barnea , E. Piasetzky , O. Hen

An improved density-matrix expansion is used to calculate the nuclear energy density functional from chiral two- and three-nucleon interactions. The two-body interaction comprises long-range one- and two-pion exchange contributions and a…

Nuclear Theory · Physics 2015-05-30 J. W. Holt , N. Kaiser , W. Weise

We compute the binding energies, radii, and densities for selected medium-mass nuclei within coupled-cluster theory and employ the "bare" chiral nucleon-nucleon interaction at order N3LO. We find rather well-converged results in model…

Nuclear Theory · Physics 2008-11-26 G. Hagen , T. Papenbrock , D. J. Dean , M. Hjorth-Jensen

The natural orbitals and natural occupation numbers of various N = Z, sp and sd shell nuclei are calculated by applying a correlated one-body density matrix. The correlated density matrix has been evaluated by considering central…

Nuclear Theory · Physics 2013-08-21 V. P. Psonis , Ch. C. Moustakidis , S. E. Massen

Correlated Basis Function theory and Fermi Hypernetted Chain technique are extended to study medium-heavy, doubly closed shell nuclei in j-j coupling scheme, with different single particle wave functions for protons and neutrons and isospin…

Nuclear Theory · Physics 2009-10-30 F. Arias de Saavedra , G. Co' , A. Fabrocini , S. Fantoni

Studies of one-body density matrices (ODM) are performed in various correlation methods, such as the Jastrow method, the correlated basis function method, the Green's function method and the generator coordinate method aiming to extract the…

Nuclear Theory · Physics 2007-05-23 A. N. Antonov , M. K. Gaidarov , M. V. Ivanov , K. A. Pavlova , C. Giusti

We study the effects of three-nucleon short-range correlations on nuclear coordinate-space densities. For this purpose, novel three-body densities are calculated for ground state nuclei using the auxiliary-field diffusion Monte Carlo…

Nuclear Theory · Physics 2023-08-16 Ronen Weiss , Stefano Gandolfi

A new method for calculation of shell model intrinsic density matrices, defined as two-particle density matrices integrated over the centre-of-mass position vector of two last particles and complemented with isospin variables, has been…

Nuclear Theory · Physics 2007-05-23 A. Deveikis , G. Kamuntavicius

We investigate the degree of $\alpha$ ($^4$He nucleus) clustering in the ground-state density profiles of $^{44}$Ti and $^{52}$Ti. Two types of density distributions, shell- and cluster-model configurations, are generated fully…

Nuclear Theory · Physics 2022-11-09 W. Horiuchi , N. Itagaki

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

A description of a large system of particles is often sought in a derivation from the detailed behaviour of just a few of the particles. The present thesis deals with the connection between such microscopic features and the nature of a…

Soft Condensed Matter · Physics 2007-05-23 O. Sørensen

Relationships are obtained connecting the two-nucleon overlap function of the eigenstates in the (A-2) particle system with the asymptotic behavior of the two-body density matrix for the ground state of the A-particle system.This makes it…

Nuclear Theory · Physics 2009-10-31 A. N. Antonov , S. S. Dimitrova , M. V. Stoitsov , D. Van Neck , P. Jeleva

Four light-mass nuclei are considered by an effective two-body clusterisation method; $^6$Li as $^2$H$+^4$He, $^7$Li as $^3$H$+^4$He, $^7$Be as $^3$He$+^4$He, and $^8$Be as $^4$He$+^4$He. The low-energy spectrum of each is determined from…

Nuclear Theory · Physics 2017-08-02 P. R. Fraser , K. Massen-Hane , A. S. Kadyrov , K. Amos , I. Bray , L. Canton

An independent pair ansatz is developed for the many body wavefunction of dilute Bose systems. The pair correlation is optimized by minimizing the expectation value of the full hamiltonian (rather than the truncated Bogoliubov one)…

Condensed Matter · Physics 2009-11-07 S. Fantoni , T. M. Nguyen , A. Sarsa , S. R. Shenoy

The density functional theory of nuclear structure provides a many-particle wave function that is useful for static properties, but an extension of the theory is necessary to describe correlation effects or other dynamic properties. Here we…

Nuclear Theory · Physics 2009-11-11 Y. Alhassid , G. F. Bertsch , L. Fang , B. Sabbey

We study the ground state properties of doubly closed shell nuclei $^{16}$O and $^{40}$Ca in the framework of Correlated Basis Function theory using state dependent correlations, with central and tensor components. The realistic Argonne…

Nuclear Theory · Physics 2009-10-31 A. Fabrocini , F. Arias de Saavedra , G. Co

We reveal nuclear many-body effects on short range correlations by ab initio no-core shell model calculations of the scaling factor a2. The factor a2 characterizes the abundance of SRC pairs and is linearly related to the EMC effect. Our…

Nuclear Theory · Physics 2025-04-22 Haoyu Shang , Jiawei Chen , Rongzhe Hu , Xin Zhen , Chongji Jiang , Junchen Pei