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We investigate the statistical properties of neutron-induced nuclear reactions on $^{238}$U using the GOE-$S$-matrix model, in which the Gaussian Orthogonal Ensemble (GOE) is embedded into the scattering ($S$) matrix. The GOE-$S$-matrix…

Nuclear Theory · Physics 2025-10-02 K. Fujio , T. Kawano , A. E. Lovell , D. Neudecker

In this article, we discuss the remarkable connection between two very different fields, number theory and nuclear physics. We describe the essential aspects of these fields, the quantities studied, and how insights in one have been…

Number Theory · Mathematics 2010-11-16 Frank W. K. Firk , Steven J. Miller

We review some aspects of R-matrix theory and its application to the semi-empirical analysis of nuclear reactions. Important applications for nuclear astrophysics and recent results for the ${}^{12}{\rm C}(\alpha,\gamma){}^{16}{\rm O}$…

Nuclear Theory · Physics 2015-05-19 Carl R. Brune

The chaotic dynamics in nuclear collective motion is studied in the framework of a schematic shell model which has only monopole and quadrupole degrees of freedom. The model is shown to reproduce the experimentally observed global trend…

Nuclear Theory · Physics 2008-11-26 Naotaka Yoshinaga , Nobuaki Yoshida , Takaomi Shigehara , Taksu Cheon

The modeling of coupled-channel effects has become increasingly important due to the availability of highly precise data for a large variety of hadronic (re)scattering processes. The K-matrix is a powerful, yet comparatively simple, method…

High Energy Physics - Phenomenology · Physics 2026-01-16 Nils Hüsken , Eric S. Swanson , Adam Szczepaniak

To describe the grazing scattering of keV atoms at surface, a new quantum binary collision model have been proposed where the dynamical properties of the surface atoms are considered via the wave-function of the local Debye harmonic…

Atomic Physics · Physics 2018-07-25 Philippe Roncin , Maxime Debiossac

Solutions to the nuclear many-body problem rely on effective interactions, and in general effective operators, to take into account effects not included in calculations. These include effects due to the truncation to finite model spaces…

Nuclear Theory · Physics 2013-01-09 I. Stetcu , J. Rotureau

A rigorous treatment of light-matter interactions typically requires an interacting quantum field theory. However, most applications of interest are handled using classical or semiclassical models, which are valid only when quantum-field…

Quantum Gases · Physics 2024-12-20 J. L. Figueiredo , J. T. Mendonça , H. Terças

We discuss possible avenues to study fission dynamics starting from a time-dependent mean-field approach. Previous attempts to study fission dynamics using the time-dependent Hartree-Fock (TDHF) theory are analyzed. We argue that different…

Nuclear Theory · Physics 2015-05-18 A. S. Umar , V. E. Oberacker , J. A. Maruhn , P. -G. Reinhard

The structure of finite nuclei is investigated by employing an interaction model which is based on the low-momentum interaction $V_{lowk}$. It is supplemented by a density-dependent contact interaction fitted to reproduce the saturation…

Nuclear Theory · Physics 2015-06-19 E. N. E. van Dalen , H. Müther

The path from understanding a simple reaction problem of scattering or tunneling to contemplating the quantum nuclear many-body system, where structure and continuum of reaction-states meet, overlap and coexist, is a complex and nontrivial…

Nuclear Theory · Physics 2009-06-25 Naureen Ahsan , Alexander Volya

The advent of nucleon-nucleon potentials derived from chiral perturbation theory, as well as the so-called V-low-k approach to the renormalization of the strong short-range repulsion contained in the potentials, have brought renewed…

Nuclear Theory · Physics 2015-05-27 L. Coraggio , A. Covello , A. Gargano , N. Itaco , T. T. S. Kuo

The quantitative description of the effects of nuclear dynamics on the measured neutrino-nucleus cross sections -- needed to reduce the systematic uncertainty of long baseline neutrino oscillation experiments -- involves severe…

Nuclear Theory · Physics 2015-08-19 Omar Benhar , Noemi Rocco

The structure of nucleon self-energy in nuclear matter is evaluated for various realistic models of the nucleon-nucleon (NN) interaction. Starting from the Brueckner-Hartree-Fock approximation without the usual angle-average approximation,…

Nuclear Theory · Physics 2009-11-07 T. Frick , Kh. Gad , H. Müther , P. Czerski

In a previous publication [Atomic Data and Nuclear Data Tables 75, 1 (2000)], we had given seven parameter analytical fits to theoretical reaction rates derived from nuclear cross sections calculated in the statistical model…

Nuclear Theory · Physics 2009-11-07 T. Rauscher , F. -K. Thielemann

A model for the fragmentation of a nucleus is developed. Parallels of the description of this process with other areas are shown which include Feynman's theory of the $\lambda$ transition in liquid Helium, Bose condensation, and Markov…

Nuclear Theory · Physics 2008-11-26 K. Chase , A. Mekjian

Fission transients describe the fission rate as it evolves towards the quasistationary value given by Kramers' formula. The nature of fission transients is dependent on the assumed initial distribution of the compound nuclei along the…

Nuclear Theory · Physics 2007-05-23 R. J. Charity

A non-relativisitic nuclear density functional theory is constructed, not as usual, from an effective density dependent nucleon-nucleon force but directly introducing in the functional results from microscopic nuclear and neutron matter…

Nuclear Theory · Physics 2008-11-26 M. Baldo , P. Schuck , X. Vinas

We discuss recent theoretical developments in low-energy heavy-ion reactions. To this end, we put emphasis on a viewpoint of probing nuclear shapes with heavy-ion reactions. We first discuss a single-channel problem with an optical…

Nuclear Theory · Physics 2025-11-14 K. Hagino

A two-step reaction scheme for the production of extremely neutron-rich radioactive beams, fission followed by cold fragmentation, is considered. The cross sections of the second step, the cold fragmentation of neutron-rich fission…

Nuclear Experiment · Physics 2007-05-23 K. Helariutta , J. Benlliure , M. V. Ricciardi , K. -H. Schmidt
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