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We address the problem of finding self-consistent parquet equations for two-body correlated Greens functions that arise out of a cumulant expansion. The general theory as developed for non-relativistic electron systems reproduces the…

Statistical Mechanics · Physics 2014-11-20 P. Kleinert

Realistic NN interactions and many-body approaches have been used to calculate ground-state properties of nuclei with A=3, 4, 12, 16, 40, with particular emphasis on various kinds of momentum distributions. It is shown that at proper values…

Nuclear Theory · Physics 2018-01-03 Claudio Ciofi degli Atti , Hiko Morita

We elaborate on a new technique for computing properties of nucleon-nucleon interactions in terms of an effective field theory derived from low energy NN scattering data. Details of how the expansion is carried out to higher orders are…

Nuclear Theory · Physics 2009-10-31 David B. Kaplan , Martin J. Savage , Mark B. Wise

The second-order Green's function method (GF2) was shown recently to be an accurate self-consistent approach for electronic structure of correlated systems since the self-energy accounts for both the weak and some of the strong correlation.…

Chemical Physics · Physics 2016-03-31 Daniel Neuhauser , Roi Baer , Dominika Zgid

The construction of a general effective lagrangian consistent with the symmetries of QCD and intended for applications to finite-density systems is discussed. The low-energy structure of the composite nucleon is described within the theory…

Nuclear Theory · Physics 2007-05-23 R. J. Furnstahl , Hua-Bin Tang

Green's function provides an inherent connection between theoretical analysis and numerical methods for elliptic partial differential equations, and general absence of its closed-form expression necessitates surrogate modeling to guide the…

Numerical Analysis · Mathematics 2025-09-16 Qi Sun , Shengyan Li , Bowen Zheng , Lili Ju , Xuejun Xu

The past two decades have witnessed tremendous progress in the microscopic description of atomic nuclei. The Topical Review `The Future of Nuclear Structure' aims at summarizing the current state-of-the-art microscopic calculations in…

Nuclear Theory · Physics 2021-01-21 Luigi Coraggio , Saori Pastore , Carlo Barbieri

Linear response functions are calculated for symmetric nuclear matter of normal density by time-evolving two-time Green's functions with conserving self-energy insertions, thereby satisfying the energy-sum rule. Nucleons are regarded as…

Nuclear Theory · Physics 2013-11-20 H. S. Kohler , N. H. Kwong

I review the way the many-body Green functions are used to renormalize the perturbation theory of correlated fermions. The Green functions are introduced to implement systematically dynamical corrections to the static mean-field theory. The…

Strongly Correlated Electrons · Physics 2021-09-21 Václav Janiš

Analytical and numerical methods are applied to principal chiral models on a two-dimensional lattice and their predictions are tested and compared. New techniques for the strong coupling expansion of SU(N) models are developed and applied…

High Energy Physics - Lattice · Physics 2010-12-21 Paolo Rossi , Ettore Vicari

The 1/N expansion can be successfully used to calculate the Green functions of the two-dimensional O(2N) Gross - Neveu model. In parallel, the methods of analytic perturbation theory are also applied. Comparing the results of these two…

High Energy Physics - Phenomenology · Physics 2007-09-20 Alexander A. Osipov , Brigitte Hiller , Alex H. Blin

The structure function of the nucleus in the cumulative region $x>1$ is studied in terms of nucleon degrees of freedom. At high $Q^2$ the resulting expressions are presented as a sum of contributions from few-nucleon correlations.…

Nuclear Theory · Physics 2009-11-07 M. A. Braun , V. M. Suslov , B. Vlahovic

Using recently derived relations between spin-dependent nuclear and nucleon g_1 and g_2 structure functions at finite Q^2, we study nuclear effects in 3He in the nucleon resonance and deep inelastic regions. Comparing the finite-Q^2 results…

Nuclear Theory · Physics 2008-12-24 S. A. Kulagin , W. Melnitchouk

For half a century, Mackey and Green functors have been successfully used to model the induction and restriction maps which are ubiquitous in the representation theory of finite groups. In the examples, the latter maps are typically…

Representation Theory · Mathematics 2024-07-16 Ivo Dell'Ambrogio

Precise predictions of atomic energy levels require the use of QED, especially in highly-charged ions, where the inner electrons have relativistic velocities. We present an overview of the two-time Green's function method; this method…

Atomic Physics · Physics 2007-05-23 E. -O. Le Bigot , P. Indelicato , V. M. Shabaev

The Energy Density Functional theory is one of the most used methods developed in nuclear structure. It is based on the assumption that the energy of the ground state is a functional only of the density profile. The method is extremely…

Nuclear Theory · Physics 2015-07-10 M. Baldo , P. F. Bortignon , G. Colo' , D. Rizzo , L. Sciacchitano

Calculations of nuclear masses, using nuclear density functional theory, are presented for even-even nuclei spanning the nuclear chart. The resulting binding energy differences can be interpreted in terms of valence proton-neutron…

Nuclear Theory · Physics 2008-11-26 M. Stoitsov , R. B. Cakirli , R. F. Casten , W. Nazarewicz , W. Satula

A many-body Green's function approach to the microscopic theory of plasmon-enhanced spectroscopy is presented within the context of localized surface-plasmon resonance spectroscopy and applied to investigate the coupling between…

Chemical Physics · Physics 2015-05-14 David J. Masiello , George C. Schatz

We review the nuclear forces currently in use, i.e., the high-precision NN potentials of the 1990's and the nuclear two- and many-body forces based upon chiral effective field theory (EFT). We argue that the EFT approach is superior to any…

Nuclear Theory · Physics 2009-11-11 R. Machleidt , D. R. Entem

A survey of some results in the modern microscopic theory of properties of nuclear reactions with gamma-rays is given. First of all, we discuss the impact of phonon coupling (PC) on the photon strength function (PSF) because it represents…

Nuclear Theory · Physics 2016-09-21 Sergei Kamerdzhiev , Oleg Achakovskiy , Alexander Avdeenkov , Stephane Goriely
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