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In this work we present a framework that allows to solve the Faddeev equations for three-nucleon scattering using the wave-packet continuum-discretization method. We perform systematic benchmarks using results in the literature and study in…

Nuclear Theory · Physics 2022-08-31 Sean B. S. Miller , Andreas Ekström , Kai Hebeler

A general approach to a solution of few- and many-body scattering problems based on a continuum-discretization procedure is described in detail. The complete discretization of continuous spectrum is realized using stationary wave packets…

Nuclear Theory · Physics 2015-01-16 O. A. Rubtsova , V. I. Kukulin , V. N. Pomerantsev

The scattering of a weakly bound (halo) projectile nucleus by a heavy target nucleus is investigated. A new approach, called the Uncorrelated Scattering Approximation, is proposed. The main approximation involved is to neglect the…

Nuclear Theory · Physics 2009-11-07 A. M. Moro , J. A. Caballero , J. Gómez-Camacho

We propose a fully quantum-mechanical method of treating four-body nuclear breakup processes in scattering of a projectile consisting of three constituents, by extending the continuum-discretized coupled-channels method. The three-body…

Nuclear Theory · Physics 2016-09-08 T. Matsumoto , E. Hiyama , K. Ogata , Y. Iseri , M. Kamimura , S. Chiba , M. Yahiro

A new method of pseudo-state discretization is proposed for the method of continuum discretized coupled channels (CDCC) to deal with three-body breakup processes. We propose real- and complex-range Gaussian bases for the pseudo-state wave…

Nuclear Theory · Physics 2009-11-10 T. Matsumoto , T. Kamizato , K. Ogata , Y. Iseri , E. Hiyama , M. Kamimura , M. Yahiro

This is a review on recent developments of the continuum discretized coupled-channels method (CDCC) and its applications to nuclear physics, cosmology and astrophysics, and nuclear engineering. The theoretical foundation of CDCC is shown,…

Nuclear Theory · Physics 2012-09-19 Masanobu Yahiro , Kazuyuki Ogata , Takuma Matsumoto , Kosho Minomo

We report an ongoing analysis of nucleon-nucleon scattering based on finite-volume spectroscopy. The calculation is performed using the distillation method on eight lattice ensembles at the SU(3)-symmetric point with $m_\pi=m_K\approx 420$…

High Energy Physics - Lattice · Physics 2022-12-20 Jeremy R. Green , Andrew D. Hanlon , Parikshit M. Junnarkar , Hartmut Wittig

Physics based emulators offer a fast and reliable replacement for an exact solution of the scattering problem in nuclear physics. Previous work developed a reduced-basis emulator for single-channel elastic scattering using an optical…

The Continuum Discretized Coupled Channels (CDCC) method is a well established theory for direct nuclear reactions which includes breakup to all orders. Alternatively, the 3-body problem can be solved exactly within the Faddeev formalism…

Nuclear Theory · Physics 2013-05-30 N. J. Upadhyay , A. Deltuva , F. M. Nunes

We demonstrate the validity of the complex scaling method for realistic strong, non-local, nucleon- nucleon interactions by comparing the deuteron bound state and nucleon-nucleon scattering phase shifts with results from other…

Nuclear Theory · Physics 2015-03-05 G. Papadimitriou , J. P. Vary

Absorbing boundary condition approach to nuclear breakup reactions is investigated. A key ingredient of the method is an absorbing potential outside the physical area, which simulates the outgoing boundary condition for scattered waves.…

Nuclear Theory · Physics 2009-11-07 Manabu Ueda , Kazuhiro Yabana , Takashi Nakatsukasa

The coupled-channel technique augments a non-relativistic distorted wave born approximation scattering calculation to include a coupling to virtual states from the negative energy region. It has been found to be important in low energy…

Nuclear Theory · Physics 2023-11-29 S. P. Weppner , Prakrut Patel , C. Miller , C. Ogg , I. Mazumdar

We apply to the nucleon-nucleus inelastic process a fully coherent microscopic multiple scattering approach. Our study addresses the complexities inherent in characterizing inelastic scattering events, offering a comprehensive theoretical…

Nuclear Theory · Physics 2026-03-30 Matteo Vorabbi , Michael Gennari , Paolo Finelli , Carlotta Giusti , Petr Navrátil

Development of the method of CDCC (Continuum-Discretized Coupled-Channels) from the level of three-body CDCC to that of four-body CDCC is reviewed. Introduction of the pseudo-state method based on the Gaussian expansion method for…

Nuclear Theory · Physics 2015-06-26 M. Kamimura , T. Matsumoto , E. Hiyama , K. Ogata , Y. Iseri , M. Yahiro

The effect of core excitation in the elastic scattering and breakup of a two-body halo nucleus on a stable target nucleus is studied. The structure of the weakly-bound projectile is described in the weak-coupling limit, assuming a…

Nuclear Theory · Physics 2014-06-30 R. de Diego , J. M. Arias , J. A. Lay , A. M. Moro

A new computational method for solving the nucleon-deuteron breakup scattering problem has been applied to study the elastic neutron- and proton-deuteron scattering on the basis of the configuration-space Faddeev-Noyes-Noble-Merkuriev…

Nuclear Theory · Physics 2010-06-10 V. M. Suslov , M. A. Braun , I. N. Filikhin , B. Vlahovic , I. Slaus

The scattering of a weakly bound three-body system by a target is discussed. A transformed harmonic oscillator basis is used to provide an appropriate discrete and finite basis for treating the continuum part of the spectrum of the…

We study the numerical behaviour of a particle method for gradient flows involving linear and nonlinear diffusion. This method relies on the discretisation of the energy via non-overlapping balls centred at the particles. The resulting…

Analysis of PDEs · Mathematics 2016-12-07 J. A. Carrillo , Y. Huang , F. S. Patacchini , G. Wolansky

The coupled-channels density-matrix technique for nuclear reaction dynamics, which is based on the Liouville-von Neumann equation with Lindblad dissipative terms, is developed with the inclusion of full angular momentum couplings. It allows…

Nuclear Theory · Physics 2010-12-23 Alexis Diaz-Torres

General analytical expressions for the observables in $dA$-scattering reaction have been derived in the diffraction approximation. The resulting formulas describe the cross section and polarization states of the deuteron when it scattering…

Nuclear Theory · Physics 2024-02-29 Valery I. Kovalchuk
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