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A new acceptance-rejection method is proposed and investigated for the Bingham distribution on the sphere using the angular central Gaussian distribution as an envelope. It is shown to have high efficiency and to be straightfoward to use.…

Statistics Theory · Mathematics 2013-10-31 John T. Kent , Asaad M. Ganeiber , Kanti V. Mardia

Spin-polarized nuclei can be used to enhance the fusion reaction rate, preferentially direct neutrons and alpha particles, or do some combination of these. In this paper we present formulas for the neutron wall load (NWL) on the walls of an…

Plasma Physics · Physics 2025-07-17 Jacob A. Schwartz

Differential cross sections for electromagnetic dissociation in nucleus-nucleus collisions are calculated. The kinetic energy distribution is parameterized with a Boltzmann distribution and the angular distribution is assumed isotropic in…

Nuclear Theory · Physics 2008-11-26 John W. Norbury , Anne Adamczyk

On contrary to the customary thought, the well-known ``lemma'' that the distribution function of a collisionless Boltzmann gas keeps invariant along a molecule's path represents not the strength but the weakness of the standard theory. One…

Data Analysis, Statistics and Probability · Physics 2007-05-23 C. Y. Chen

Euler angles determining rotations of a system as a whole are conveniently separated in three-particle basis functions. Analytic integration of matrix elements over Euler angles is done in a general form. Results for the Euler angle…

Nuclear Theory · Physics 2009-11-07 V. D. Efros

We derive expressions for various correlators of the gauge field and find the propagators in Hamiltonian dynamics which employs a new gauge $A^\tau=0$. This gauge is a part of the wedge form of relativistic dynamics suggested earlier as a…

High Energy Physics - Phenomenology · Physics 2009-10-31 A. Makhlin

A collision-based hybrid method for the discrete ordinates approximation of the multigroup neutron transport equation is developed for two-dimensional time-dependent problems. At each time step, this algorithm splits the neutron transport…

Computational Physics · Physics 2025-02-17 Ben Whewell , Ryan G. McClarren

We introduce numerical solvers for the steady-state Boltzmann equation based on the symmetric Gauss-Seidel (SGS) method. Due to the quadratic collision operator in the Boltzmann equation, the SGS method requires solving a nonlinear system…

Computational Physics · Physics 2023-11-27 Tianai Yin , Zhenning Cai , Yanli Wang

A numerical method to solve the TDHFB equations by using a hybrid basis of the two-dimensional harmonic oscillator eigenfunctions and one-dimensional Lagrange mesh with the Gogny effective interaction is applied to the head-on collisions of…

Nuclear Theory · Physics 2016-08-24 Yukio Hashimoto , Guillaume Scamps

A survey is given on the applications of hydrodynamic model of nucleus-nucleus collisons, focusing especially on i) the resolution of hydrodynamic equations for arbitrary configurations, by using the smoothed-particle hydrodynamic approach;…

High Energy Physics - Phenomenology · Physics 2015-06-25 Y. Hama , T. Kodama , O. Socolowski

Nuclear halos are very exotic quantal structures observed far from stability. Because of their short lifetime, they are mostly studied through reactions. The ratio method offers a new observable: the ratio of angular differential cross…

We studied a feasibility of measuring Higgs boson pair production in a Photon Linear Collider. The optimum energy of gamma gamma collision was estimated with a realistic luminosity distribution. We also discussed simulation study for…

High Energy Physics - Experiment · Physics 2009-02-24 T. Takahashi , N. Maeda , K. Ikematsu , K. Fujii , E. Asawaka , D. Harada , S. Kanemura , Y. Kurihara , Y. Okada

Estimating the probability of collision between spacecraft is crucial for risk management and collision-avoidance strategies. Current methods often rely on Gaussian assumptions and simplifications, which can be inaccurate in highly…

Systems and Control · Electrical Eng. & Systems 2025-04-22 Théo Verhelst , Giacomo Acciarini , Dario Izzo , Francesco Biscani

For the research of CCD neutron radiography, a neutron collimator was designed based on the exit of thermal neutron of the Boron Neutron Capture Therapy (BNCT) reactor. Based on the Geant4 simulations, the preliminary choice of the size of…

Instrumentation and Detectors · Physics 2014-03-05 XP. Yang , BX. Yu , YG. Li , D. Peng , J. Lu , GL. Zhang , H. Zhao , AW. Zhang , CY. Li , WJ. Liu , T. Hu , JG. Lv

Basing on the thickness (profile) function, previously obtained for the realistic Fermi type distribution of nucleons in nuclei, calculations are made of the microscopic eikonal phases of the nucleus-nucleus scattering and the total…

Nuclear Theory · Physics 2007-05-23 V. Lukyanov , E. Zemlyanaya , B. Slowinski

Being exact at both short- and long-time limits, the Gaussian approximation is widely used to calculate neutron incoherent inelastic scattering functions in liquids. However, to overcome a few numerical difficulties, extra physical…

Computational Physics · Physics 2022-07-27 Rong Du , Xiao-Xiao Cai

The 11Be break-up is calculated using a non perturbative time-dependent quantum calculation. The evolution of the neutron halo wave function shows an emission of neutron at large angles for grazing impact parameters and at forward angles…

Nuclear Theory · Physics 2009-11-07 M. Fallot , J. A. Scarpaci , D. Lacroix , Ph. Chomaz , J. Margueron

We use the Burnett spectral method to solve the Boltzmann equation whose collision term is modeled by separate treatments for the low-frequency part and high-frequency part of the solution. For the low-frequency part representing the sketch…

Numerical Analysis · Mathematics 2021-10-25 Zhenning Cai , Yanli Wang

When modeling nuclear processes which occur in heavy-ion reactions, it is necessary to calculate the potential energy of interaction between two nuclei. One of the main features determining the dynamics of the nucleus-nucleus collision is…

Nuclear Theory · Physics 2023-11-16 Makar Simonov , Alexander Karpov , Tatiana Tretyakova

I derive expressions for various correlators of the gauge field and find propagators in a new gauge A^\tau=0. This gauge is a part of the wedge form of relativistic dynamics suggested earlier as the tool for the study of quantum dynamics in…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. Makhlin
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