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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…

核理论 · 物理学 2025-10-02 K. Fujio , T. Kawano , A. E. Lovell , D. Neudecker

A model to calculate particle-induced reaction cross sections with statistical Hauser-Feshbach theory including direct reactions is given. The energy average of scattering matrix from the coupled-channels optical model is diagonalized by…

核理论 · 物理学 2016-08-24 T. Kawano , R. Capote , S. Hilaire

The electromagnetic responses obtained from Green's function Monte Carlo (GFMC) calculations are based on realistic treatments of nuclear interactions and currents. The main limitations of this method comes from its nonrelativistic nature…

核理论 · 物理学 2018-05-09 Noemi Rocco , Winfried Leidemann , Alessandro Lovato , Giuseppina Orlandini

We develop a new method for generating probability tables based on a solid theoretical foundation. The fluctuating cross sections are calculated using the GOE-$S$-matrix model, in which the Gaussian Orthogonal Ensemble (GOE) is incorporated…

核理论 · 物理学 2026-02-03 K. Fujio , T. Kawano , A. E. Lovell , D. Neudecker , N. A. W. Walton

The Short-Time approximation is a method introduced to evaluate electroweak nuclear response for systems with $A\geq12$, extending the reach of first-principle many-body Quantum Monte Carlo calculations. Using realistic two- and three-body…

Monte Carlo evaluation is used to calculate heavy-ion elastic scattering including the center-of-mass correction and the Coulomb interaction.Angular distributions are presented for a number of nuclear pairs over a wide energy range using…

核理论 · 物理学 2015-06-04 W. R. Gibbs , Jean-Pierre Dedonder

The application of random-matrix theory (RMT) to compound-nucleus (CN) reactions is reviewed. An introduction into the basic concepts of nuclear scattering theory is followed by a survey of phenomenological approaches to CN scattering. The…

核理论 · 物理学 2015-05-18 G. E. Mitchell , A. Richter , H. A. Weidenmueller

Monte-Carlo methods for zero energy quantum scattering are developed. Starting from path integral representations for scattering observables, we present results of numerical calculations for potential scattering and scattering off a…

核理论 · 物理学 2009-10-28 Stefan Lenz , Hubertus Mall

A method based on multicanonical Monte Carlo is applied to the calculation of large deviations in the largest eigenvalue of random matrices. The method is successfully tested with the Gaussian orthogonal ensemble (GOE), sparse random…

统计力学 · 物理学 2013-05-29 Nen Saito , Yukito Iba , Koji Hukushima

In quantum Monte Carlo (QMC) methods, energy estimators are calculated as the statistical average of the Markov chain sampling of energy estimator along with an associated statistical error. This error estimation is not straightforward and…

计算物理 · 物理学 2022-04-26 Tom Ichibha , Kenta Hongo , Ryo Maezono , Alex J. W. Thom

A method based on Monte Carlo techniques is presented for evaluating thermonuclear reaction rates. We begin by reviewing commonly applied procedures and point out that reaction rates that have been reported up to now in the literature have…

太阳与恒星天体物理 · 物理学 2015-05-18 Richard Longland , Christian Iliadis , Art Champagne , Joe Newton , Claudio Ugalde , Alain Coc , Ryan Fitzgerald

Microscopic calculations of neutrino-nucleus scattering cross sections are critical for the success of the neutrino-oscillation program. In addition to retaining nuclear correlations in the initial and final state of the reaction, they are…

核理论 · 物理学 2023-04-25 Alexis Nikolakopoulos , Alessandro Lovato , Noemi Rocco

Quantum Monte Carlo methods have proved very valuable to study the structure and reactions of light nuclei and nucleonic matter starting from realistic nuclear interactions and currents. These ab-initio calculations reproduce many low-lying…

Correlation functions involving products and ratios of half-integer powers of characteristic polynomials of random matrices from the Gaussian Orthogonal Ensemble (GOE) frequently arise in applications of Random Matrix Theory (RMT) to…

数学物理 · 物理学 2015-04-23 Yan V. Fyodorov , André Nock

Random batch algorithms are constructed for quantum Monte Carlo simulations. The main objective is to alleviate the computational cost associated with the calculations of two-body interactions, including the pairwise interactions in the…

计算物理 · 物理学 2020-09-01 Shi Jin , Xiantao Li

Nuclear physics seeks to describe both bound and unbound states within a unified predictive framework. While coordinate-space Quantum Monte Carlo (QMC) methods have successfully computed bound states for systems with $A \leq 12$, their…

核理论 · 物理学 2025-02-27 Abraham R. Flores , Kenneth M. Nollett , Maria Piarulli

The double and single differential cross-sections with respect to positron and electron energies as well as the total cross-section of triplet production in the laboratory frame are calculated numerically in order to develop a Monte Carlo…

天体物理学 · 物理学 2009-10-31 V. Anguelov , S. Petrov , L. Gurdev , J. Kourtev

We present a novel Monte Carlo algorithm which enhances equilibrization of low-temperature simulations and allows sampling of configurations over a large range of energies. The method is based on a non-Boltzmann probability weight factor…

凝聚态物理 · 物理学 2009-10-30 Ulrich H. E. Hansmann , Yuko Okamoto

We calculate cross sections for low energy elastic exciton-exciton scattering within the effective mass approximation. Unlike previous theoretical approaches, we give a complete, non-perturbative treatment of the four-particle scattering…

凝聚态物理 · 物理学 2010-07-28 J. Shumway , D. M. Ceperley

We report the first calculations of cross sections for the radiative capture reactions t(alpha,gamma)^7Li and ^3He(alpha,gamma)^7Be below 2 MeV which use wave functions derived from realistic nucleon-nucleon interactions by the variational…

核理论 · 物理学 2009-11-07 Kenneth M. Nollett
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