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We analyze the wave equation in mixed form, with periodic and/or Dirichlet homogeneous boundary conditions, and nonconstant coefficients that depend on the spatial variable. For the discretization, the weak form of the second equation is…

Numerical Analysis · Mathematics 2023-12-01 Andrea Bressan , Annalisa Buffa , Alen Kushova , Rafael Vázquez

The discrete energy-eigenvalues of two nucleons interacting with a finite-range nuclear force and confined to a harmonic potential are used to numerically reconstruct the free-space scattering phase shifts. The extracted phase shifts are…

Nuclear Theory · Physics 2014-11-21 Thomas Luu , Martin Savage , Achim Schwenk , James P. Vary

We present an algorithm for the numerical solution of the equations governing combustion in porous inert media. The discretization of the flow problem is performed by the mixed finite element method, the transport problems are discretized…

Numerical Analysis · Mathematics 2016-09-01 Peter Knabner , Gerhard Summ

The continuum discretized coupled channels (CDCC) method is compared to the exact solution of the three-body Faddeev equations in momentum space. We present results for: i) elastic and breakup observables of d-12C at E_d=56 MeV, ii) elastic…

Nuclear Theory · Physics 2008-11-26 A. Deltuva , A. M. Moro , E. Cravo , F. M. Nunes , A. C. Fonseca

Relativistic effects in the breakup of weakly-bound nuclei at intermediate energies are studied by means of the continuum-discretized coupled-channels method with eikonal approximation. Nuclear coupling potentials with Lorentz contraction…

Nuclear Theory · Physics 2009-07-03 K. Ogata , C. A. Bertulani

We present a method for solving the nucleon-nucleon scattering equation without the use of a partial wave expansion of the scattering amplitude. After verifying the accuracy of the numerical solutions, we proceed to apply the method to the…

Nuclear Theory · Physics 2013-12-02 L. White , F. Sammarruca

In this paper, we use a straightforward numerical method to solve scattering models in one-dimensional lattices based on a tight-binding band structure. We do this by using the wave packet approach to scattering, which presents a more…

Physics Education · Physics 2022-07-06 M. Staelens , F. Marsiglio

We use the configuration-space Faddeev formalism to study scattering of three particles in the double continuum where all particles are free. All scattering processes, starting from and ending in both single and double continua, are…

Quantum Physics · Physics 2026-04-15 Romain Guérout

Microscopic optical potentials for nucleon-nucleus (NA) scattering obtained from the full folding of the effective g matrices, solutions of the Bruckner-Bethe-Goldstone equation, with the densities of the target, are applied to the case of…

Nuclear Theory · Physics 2009-11-07 S. Karataglidis , M. B. Chadwick

A high-precision test of the Glauber formula for the amplitude of nucleon-deuteron scattering is performed. Nucleon-nucleon amplitudes used in the calculations depend on the spins of interacting particles, phase shifts, and mixing…

Nuclear Theory · Physics 2016-03-29 V. I. Kovalchuk

Neutrino-nucleus $\nu A\to \nu A$ and antineutrino-nucleus $\bar\nu A\to \bar\nu A$ interactions, when the nucleus conserves its integrity, are discussed with coherent (elastic) and incoherent (inelastic) scattering regimes taken into…

High Energy Physics - Phenomenology · Physics 2019-04-08 Vadim A. Bednyakov , Dmitry V. Naumov

In three dimensional scattering, the energy continuum wavefunction is obtained by utilizing two independent solutions of the reference wave equation. One of them is typically singular (usually, near the origin of configuration space). Both…

Quantum Physics · Physics 2007-05-23 A. D. Alhaidari , H. Bahlouli , M. S. Abdelmonem , F. S. Al-Ameen , T. H. Al-Abdulaal

A methodology to renormalize the nucleon-nucleon interaction, using a recursive multiple subtraction approach to construct the kernel of the scattering equation, is presented. We solve the subtracted scattering equation with the…

Nuclear Theory · Physics 2011-08-08 V. S. Timoteo , T. Frederico , A. Delfino , Lauro Tomio

I develop a reduced basis emulator for continuum-discretized coupled-channel (CDCC) calculations that achieves speedups of $\sim 10^2$ while maintaining sub-percent accuracy. The emulator is constructed using the proper orthogonal…

Nuclear Theory · Physics 2025-12-22 Jin Lei

We use a deterministic particle method to produce numerical approximations to the solutions of an evolution cross-diffusion problem for two populations. According to the values of the diffusion parameters related to the intra and…

Numerical Analysis · Mathematics 2024-01-29 Gonzalo Galiano , Virginia Selgas

The Lippmann-Schwinger equation for the nucleon-nucleon $t$-matrix as well as the corresponding Bethe-Goldstone equation to determine the Brueckner reaction matrix in nuclear matter are reformulated in terms of the resolvents for the total…

Nuclear Theory · Physics 2016-09-21 H. Müther , O. A. Rubtsova , V. I. Kukulin , V. N. Pomerantsev

Theoretical study of systematics of neutron scattering cross sections on various materials for neutron energies up to several hundred MeV are of practical importance. In this paper, we analysed various cross sections of neutron-nucleus…

Nuclear Theory · Physics 2007-05-23 S. V. Surya Narayan , Rajesh S. Gowda , S. Ganesan

Distributions of inelastically scattered neutrons can be quantum dynamically described by a scattering kernel. We present an accurate and computationally efficient rejection method for sampling a given scattering kernel of any isotropic…

Computational Physics · Physics 2019-02-20 X. X. Cai , T. Kittelmann , E. Klinkby , J. I. Márquez Damián

We present a formalism to solve the Bethe-Goldstone scattering equation without the use of partial wave expansion which is alternative to the one we developed in a previous work. The present approach is more suitable for the calculation of…

Nuclear Theory · Physics 2015-06-22 L. White , F. Sammarruca

We develop a framework for calculating nucleon-deuteron scattering using strict perturbation theory for treating subleading interactions in chiral effective field theory (ChEFT). Rather than using direct evaluations in the distorted-wave…

Nuclear Theory · Physics 2026-02-18 Lin Zuo , Wendi Chen , Dan-Yang Pang , Bingwei Long