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The scattering of $^9$Be on $^{208}$Pb is addressed within a four-body Continuum-Discretized Coupled-Channels (CDCC) framework, considering a three-body $\alpha + \alpha + n$ projectile plus a structureless target. The projectile states are…

Nuclear Theory · Physics 2017-04-06 J. Casal , M. Rodríguez-Gallardo , J. M. Arias

We investigate the $^9$Be + $^{208}$Pb elastic scattering, breakup and fusion at energies around the Coulomb barrier. The three processes are described simultaneously, with identical conditions of calculations. The $^{9}$Be nucleus is…

Nuclear Theory · Physics 2016-06-22 M. S. Hussein , P. Descouvemont , L. F. Canto

A novel method to extract the $B(E1)$ strength of a weakly bound nucleus from experimental Coulomb dissociation data is proposed. The method makes use of continuum discretized coupled channels (CDCC) calculations, in which both nuclear and…

Nuclear Theory · Physics 2020-11-25 A. M. Moro , J. A. Lay , J. Gómez-Camacho

We present an accurate method of treating the one-neutron removal reaction at intermediate incident energies induced by both nuclear and Coulomb interactions. In the method, the nuclear and Coulomb breakup processes are consistently treated…

Nuclear Theory · Physics 2011-08-03 Masanobu Yahiro , Kazuyuki Ogata , Kosho Minomo

We report on systematical optical model (OM) and continuum discretized coupled channel (CDCC) calculations applied to describe the elastic scattering angular distributions of exotic and stable nuclei projectiles on heavy targets. Our…

Nuclear Theory · Physics 2021-06-02 M. A. G. Alvarez , M. Rodriguez-Gallardo , J. P. Fernandez-Garcia , J. Casal , J. A. Lay

A classical dynamical model that treats break-up stochastically is presented for low energy reactions of weakly-bound nuclei. The three-dimensional model allows a consistent calculation of breakup, incomplete and complete fusion cross…

Nuclear Theory · Physics 2008-11-26 A. Diaz-Torres , D. J. Hinde , J. A. Tostevin , M. Dasgupta , L. R. Gasques

The method of screening and renormalization is used to include the Coulomb interaction between the charged particles in the momentum-space description of three- and four-body nuclear reactions. The necessity for the renormalization of the…

Nuclear Theory · Physics 2015-05-18 A. Deltuva

The coupled-channel theory is a natural way of treating nonelastic channels, in particular those arising from collective excitations, defined by nuclear deformations. Proper treatment of such excitations is often essential to the accurate…

Nuclear Theory · Physics 2015-03-13 G. P. A. Nobre , F. S. Dietrich , M. Herman , A. Palumbo , S. Hoblit , D. Brown

Because the interaction is well-known, Coulomb excitation is one of the best tools for the investigation of nuclear properties. In the last 3 decades new reaction theories for Coulomb excitation have been developed such as: (a) relativistic…

Nuclear Theory · Physics 2009-09-09 C. A. Bertulani

A microscopic version of the Continuum Discretized Coupled Channel (CDCC) method is used to investigate $^{6}$He scattering on $^{27}$Al, $^{58}$Ni, $^{120}$Sn, and $^{208}$Pb at energies around the Coulomb barrier. The $^{6}$He nucleus is…

Nuclear Theory · Physics 2016-03-30 P. Descouvemont

This article provides a pedagogical exploration of coupled-channel scattering in hadronic physics, focusing on theoretical methodologies, and practical applications. It covers key concepts such as the $N/D$ method, Castillejo-Dalitz-Dyson…

High Energy Physics - Phenomenology · Physics 2025-01-20 José Antonio Oller

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

Background: Microscopic description of the projectile, based on an effective NN interaction, in a microscopic CDCC (MCDCC) model [PRL 111, 082701 (2013)] has been successfully applied to the 7Li+208Pb scattering. Purpose: The MCDCC method…

Nuclear Theory · Physics 2015-06-19 J. Grineviciute , P. Descouvemont

Atomic nuclei are complex, quantum many-body systems whose structure manifests itself through intrinsic quantum states associated with different excitation modes or degrees of freedom. Collective modes (vibration and/or rotation) dominate…

Nuclear Theory · Physics 2015-05-19 Alexis Diaz-Torres

We review some simple mechanisms of breakup in nuclear reactions. We mention the spectator breakup, which is described in the post-form DWBA. The relation to other formulations is also indicated. An especially important mechanism is Coulomb…

Nuclear Theory · Physics 2017-08-23 G. Baur , S. Typel , H. H. Wolter , K. Hencken , D. Trautmann

In the past decade, coupled-cluster theory has seen a renaissance in nuclear physics, with computations of neutron-rich and medium-mass nuclei. The method is efficient for nuclei with product-state references, and it describes many aspects…

Nuclear Theory · Physics 2014-09-16 G. Hagen , T. Papenbrock , M. Hjorth-Jensen , D. J. Dean

In this lecture we aim to present a formalism based on Faddeev-like equations for describing nuclear three-cluster reactions that include elastic, transfer and breakup channels. Two different techniques based on momentum-space and…

Nuclear Theory · Physics 2012-01-25 A. Deltuva , A. C. Fonseca , R. Lazauskas

We present a multichannel quantum-defect theory for slow atomic collisions that takes advantages of the analytic solutions for the long-range potential, and both the energy and the angular-momentum insensitivities of the short-range…

Atomic Physics · Physics 2009-11-11 Bo Gao , Eite Tiesinga , Carl J. Williams , Paul S. Julienne

A variational technique to describe the ground and scattering states below the break-up threshold for a three-nucleon system is developed. The method consists in expanding the wave function in terms of correlated Harmonic Hyperspherical…

Nuclear Theory · Physics 2009-10-30 A. Kievsky , M. Viviani , S. Rosati

We investigate the elastic scattering of $^9$Be on $^{208}$Pb at beam energies above (50 MeV) and below (40 MeV) the Coulomb barrier. The reaction is described within a four-body framework using the Continuum-Discretized Coupled-Channels…

Nuclear Theory · Physics 2017-04-07 J. Casal , M. Rodríguez-Gallardo , J. M. Arias