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New energy-density functionals (EDFs) inspired by effective-field theories (EFTs) have been recently proposed. The present work focuses on three of such functionals which were developed to produce satisfactory equations of state for nuclear…

Nuclear Theory · Physics 2018-09-26 Jérémy Bonnard , Marcella Grasso , Denis Lacroix

Using the cumulant Green's functions method (CGFM), we study the single impurity Anderson model (SIAM). The CGFM starting point is a diagonalization of the SIAM Hamiltonian expressed in a semi-chain form, containing N sites, viz., a…

Strongly Correlated Electrons · Physics 2024-09-26 T. M. Sobreira , T. O. Puel , M. A. Manya , S. E. Ulloa , G. B. Martins , J. Silva-Valencia , R. N. Lira , M. S. Figueira

We propose a microscopic approach describing the interaction of an ideal gas of hydrogenlike atoms with a weak electromagnetic field. This approach is based on the Green-function formalism and an approximate formulation of the method of…

Statistical Mechanics · Physics 2009-01-19 Yurii Slyusarenko , Andrii Sotnikov

We combine the \textit{ab initio} symmetry-adapted no-core shell model (SA-NCSM) with the single-particle Green's function approach to construct optical potentials rooted in first principles. Specifically, we show that total cross sections…

Nuclear Theory · Physics 2024-01-23 M. Burrows , K. D. Launey , A. Mercenne , R. B. Baker , G. H. Sargsyan , T. Dytrych , D. Langr

We propose a general method embedded in the ab initio nuclear framework to reconstruct linear response functions and calculate sum rules. Within our approach, based on the Gaussian integral transform, we consistently treat the groundstate…

Nuclear Theory · Physics 2024-07-31 J. E. Sobczyk , W. Jiang , A. Roggero

Chiral effective field theory allows one to calculate the response of few-nucleon systems to external currents, both for currents that can be probed in the Standard Model and ones that only exist in Standard-Model extensions. In combination…

High Energy Physics - Phenomenology · Physics 2019-03-28 Martin Hoferichter , Philipp Klos , Javier Menéndez , Achim Schwenk

Self-consistent Green's function theory has recently been extended to the basic formalism needed to account for three-body interactions [A. Carbone, A. Cipollone, C. Barbieri, A. Rios, and A. Polls, (Phys. Rev. C 88, 054326 (2013))]. The…

Nuclear Theory · Physics 2018-05-16 Francesco Raimondi , Carlo Barbieri

The simultaneous description for nuclear matter and finite nuclei has been a long-standing challenge in nuclear ab initio theory. With the success for nuclear matter, the relativistic Brueckner-Hartree-Fock (RBHF) theory with covariant…

Nuclear Theory · Physics 2025-03-14 Wei-Jiang Zou , Yi-Long Yang , Shihang Shen , Jie Meng

We develop a self-consistent spectral quadrature (sc-SQ) framework for the calculation of many-body Green functions. The method approximates the K\"all\'en--Lehmann spectral measure by Gauss--Christoffel (GC) quadrature, yielding a rational…

Strongly Correlated Electrons · Physics 2026-05-27 Stanislav Yu. Kruchinin

We study the order-by-order expansion of the energy per particle of asymmetric nuclear matter up to twice saturation density in chiral effective field theory (EFT) within a Bayesian framework. For this, we develop a two-dimensional Gaussian…

Nuclear Theory · Physics 2026-05-13 H. Göttling , L. Hoff , K. Hebeler , A. Schwenk

Excitonic contributions to absorption and photocurrent generation in semiconductor nanostructures are described theoretically and simulated numerically using steady-state non-equilibrium Green's function theory. In a first approach, the…

Mesoscale and Nanoscale Physics · Physics 2012-09-28 U. Aeberhard

A new table of the nuclear equation of state (EOS) based on realistic nuclear potentials is constructed for core-collapse supernova numerical simulations. Adopting the EOS of uniform nuclear matter constructed by two of the present authors…

Nuclear Theory · Physics 2017-03-23 H. Togashi , K. Nakazato , Y. Takehara , S. Yamamuro , H. Suzuki , M. Takano

Constraining the equation of state (EOS) of strongly interacting, dense matter is the focus of intense experimental, observational, and theoretical effort. Chiral effective field theory ($\chi$EFT) can describe the EOS between the typical…

Nuclear Theory · Physics 2025-04-01 A. C. Semposki , C. Drischler , R. J. Furnstahl , J. A. Melendez , D. R. Phillips

The main results are: 1. A manifestly covariant technique for the calculation of De Witt coefficients is elaborated; 2. The coefficients $a_3$ and $a_4$ are calculated; 3. Covariant methods for the study of the nonlocal structure of the…

High Energy Physics - Theory · Physics 2008-02-03 Ivan G. Avramidi

Energy density functional (EDF) theory provides a unified framework for the description of nuclei and of infinite nuclear matter. In principle, it facilitates direct connections between nuclear data and the nuclear equation of state (EoS).…

Nuclear Theory · Physics 2025-12-01 Panagiota Papakonstantinou

Relativistic mean field theory is formulated with the Green's function method in coordinate space to investigate the single-particle bound states and resonant states on the same footing. Taking the density of states for free particle as a…

Nuclear Theory · Physics 2015-06-23 T. T. Sun , S. Q. Zhang , Y. Zhang , J. N. Hu , J. Meng

S-wave pairing in neutron matter is studied within an extension of correlated basis function (CBF) theory to include the strong, short range spatial correlations due to realistic nuclear forces and the pairing correlations of the Bardeen,…

Nuclear Theory · Physics 2008-11-26 Adelchi Fabrocini , Stefano Fantoni , Alexey Yu. Illarionov , Kevin E. Schmidt

An equation of state (EOS) for uniform nuclear matter is constructed at zero and finite temperatures with the variational method starting from the realistic nuclear Hamiltonian composed of the Argonne V18 and UIX potentials. The energy is…

Nuclear Theory · Physics 2008-11-26 H. Kanzawa , K. Oyamatsu , K. Sumiyoshi , M. Takano

We propose a method for microscopic calculations of nuclear ground-state properties in the framework of density functional theory. We discuss how the density functional is equivalent to the effective action for the density, thereby…

Nuclear Theory · Physics 2007-05-23 A. Schwenk , J. Polonyi

The study of the equation-of-state (EoS) describing the properties of nuclear matter away from the normal conditions is a relevant and intriguing topic of modern nuclear physics. The last decades have witnessed a substantial experimental…

Nuclear Experiment · Physics 2023-03-09 P. Russotto , M. D. Cozma , E. De Filippo , A. Le Fèvre , Y. Leifels , J. Łukasik