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Cross sections from low-energy neutron-nucleus scattering have been evaluated using a coupled channel theory of scattering. Both a coordinate-space and a momentum-space formalism of that coupled-channel theory are considered.A simple…

Nuclear Theory · Physics 2009-11-11 K. Amos , S. Karataglidis , D. van der Knijff , L. Canton , G. Pisent , J. P. Svenne

Atomic nuclei are composite systems, and they may be dynamically excited during nuclear reactions. Such excitations are not only relevant to inelastic scattering but they also affect other reaction processes such as elastic scattering and…

Nuclear Theory · Physics 2022-05-25 K. Hagino , K. Ogata , A. M. Moro

Dispersive corrections to the total cross section for high-energy scattering from a heavy nucleus are calculated using a matrix model, based on the triple-Pomeron behavior of diffractive scattering from a single nucleon, for the cross…

Nuclear Theory · Physics 2009-11-07 David R Harrington

We present a practical way of smoothing discrete breakup S-matrix elements calculated by the continuum-discretized coupled-channel method (CDCC). This method makes the smoothing procedure much easier. The reliability of the smoothing method…

Nuclear Theory · Physics 2014-11-18 Takuma Matsumoto , Tomoaki Egami , Kazuyuki Ogata , Masanobu Yahiro

A new version of the nuclear shell model unifies the consideration of the discrete spectrum, where the results agree with the standard shell model, and continuum. The ingredients of the method are the non-Hermitian effective Hamiltonian,…

Nuclear Theory · Physics 2009-11-10 Alexander Volya , Vladimir Zelevinsky

The utility of lattice discretization technique is demonstrated for solving nonrelativistic quantum scattering problems and specially for the treatment of ultraviolet divergences in these problems with some potentials singular at the origin…

High Energy Physics - Theory · Physics 2008-11-26 Sadhan K. Adhikari , T. Frederico , R. M. Marinho

We propose a new method for evaluating incomplete and complete fusion cross sections separately using the Continuum-Discretized Coupled-Channels method. This method is applied to analysis of the deuteron induced reaction on a 7Li target up…

Nuclear Theory · Physics 2010-02-02 S. Hashimoto , K. Ogata , S. Chiba , M. Yahiro

Using the complex energy method, the problem of nucleon-deuteron scattering is solved with a simple three-body force having a separable form. Our results are compared with the results of modern direct two-variable calculations and a good…

Nuclear Theory · Physics 2012-07-03 Aye Mya Phyu , Hiroyuki Kamada , Jacek Golak , Htun Htun Oo , Henryk Witala , Walter Gloeckle

Deuteron disintegration by charged-current neutrino (CC$\nu$) scattering offers the possibility to determine the energy of the incident neutrino by measuring in coincidence two of the three resulting particles: a charged lepton (usually a…

High Energy Physics - Phenomenology · Physics 2015-10-28 O. Moreno , T. W. Donnelly , J. W. Van Orden , W. P. Ford

The reactions of nucleon and polarized deuteron scattered off a heavy target at large impact parameter with intermediate energies have been investigated by using the improved quantum molecular dynamics model. It is found that, due to the…

Nuclear Theory · Physics 2020-02-12 Xiao Liang , Li Ou , Zhigang Xiao

Compound resonances in nucleon-nucleus scattering are related to the discrete spectrum of the target. Such resonances can be studied in a unified and general framework by a scattering model that uses sturmian expansions of postulated…

Nuclear Theory · Physics 2015-06-26 K. Amos , L. Canton , G. Pisent , J. P. Svenne , D. van der Knijff

In this paper we discuss the adiabatic projection method, a general framework for scattering and reaction calculations on the lattice. We also introduce several new techniques developed to study nucleus-nucleus scattering and reactions on…

Nuclear Theory · Physics 2016-07-20 Serdar Elhatisari , Dean Lee , Ulf-G. Meißner , Gautam Rupak

We consider the nucleon-nucleon scattering problem by applying time-ordered perturbation theory to the Lorentz invariant formulation of baryon chiral perturbation theory. Using a symmetry preserving higher derivative form of the effective…

Nuclear Theory · Physics 2016-11-03 J. Behrendt , E. Epelbaum , J. Gegelia , Ulf-G. Meißner , A. Nogga

Neutral-current neutrino scattering from the deuteron leading to proton-neutron final states is considered using an approach that incorporates relativistic dynamics and consequently provides robust modeling at relatively high energies and…

Nuclear Theory · Physics 2020-07-01 Sabine Jeschonnek , J. W. Van Orden , T. W. Donnelly

We apply the spectral element method to the determination of scattering and bound states of the multichannel Schr\"odinger equation. In our approach the reaction coordinate is discretized on a grid of points whereas the internal coordinates…

Computational Physics · Physics 2017-05-12 Andrea Simoni , Alexandra Viel , Jean-Michel Launay

A new computational method for solving the nucleon-deuteron breakup scattering problem has been applied to study the inelastic neutron-deuteron scattering on the basis of the configuration-space Faddeev equations. This method is based on…

Nuclear Theory · Physics 2013-04-05 V M Suslov , I Filikhin , B Vlahovic , M A Braun , I Slaus

Flow in fractured porous media represents a challenge for discretization methods due to the disparate scales and complex geometry. Herein we propose a new discretization, based on the mixed finite element method and mortar methods. Our…

Numerical Analysis · Mathematics 2017-07-18 Wietse M. Boon , Jan M. Nordbotten , Ivan Yotov

Nucleon-deuteron ($Nd$) scattering can be used to constrain three-nucleon forces in chiral effective field theory ($\chi$EFT). However, high-fidelity calculations, such as the Hyperspherical Harmonic (HH) method, are computationally…

We present a new reaction model, which permits the description of reactions where both colliding nuclei present a low threshold to breakup. The method corresponds to a four-body extension of the Continuum Discretized Coupled Channel (CDCC)…

Nuclear Theory · Physics 2017-06-28 Pierre Descouvemont

Background: In the continuum-discretized coupled-channel method, a breakup cross section (BUX) is obtained as an admixture of several components of different channels in multi-channel scattering. Purpose: Our goal is to propose an…

Nuclear Theory · Physics 2021-04-07 Shin Watanabe , Kazuyuki Ogata , Takuma Matsumoto