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These notes summarise the lectures I gave during the summer school "International Scientific Meeting on Nuclear Physics" at La R\'abida in Spain in June 2018. They offer an introduction to nuclear-reaction theory, starting with the basics…

Nuclear Theory · Physics 2019-07-04 Pierre Capel

We investigate the low-energy $^9$Be elastic scattering on two different targets (heavy, light) within a four-body framework using the Continuum-Discretized Coupled-Channels (CDCC) method. The $^9$Be projectile is described in a $\alpha +…

Nuclear Theory · Physics 2016-04-26 J. Casal , M. Rodríguez-Gallardo , J. M. Arias

We use a three-body Continuum Discretized Coupled Channel (CDCC) model to investigate Coulomb and nuclear effects in breakup and reaction cross sections. The breakup of the projectile is simulated by a finite number of square integrable…

Nuclear Theory · Physics 2017-03-22 Pierre Descouvemont , L. Felipe Canto , Mahir S. Hussein

Core-excitation effects in the scattering of two-body halo nuclei have been investigated in previous works. In particular, these effects have been found to affect in a significant way the breakup cross sections of neutron-halo nuclei with a…

Nuclear Theory · Physics 2017-04-26 R. de Diego , R. Crespo , A. M. Moro

Background: Nuclear reactions are complex, with a large number of possible channels. Understanding how different channels contribute to a given reaction is investigated by perturbing the continuous spectrum. Purpose: To develop tools to…

Nuclear Theory · Physics 2024-06-28 Brady J. Martin , Wayne N. Polyzou

We apply the Lagrange-mesh method to discretize continuum states of weakly bound nuclei for continuum-discretized coupled-channel (CDCC) calculations of three-body breakup reactions. This discretization method is compared with the bin…

Nuclear Theory · Physics 2022-06-10 Wendi Chen , Hairui Guo , Weili Sun , Tao Ye , Yangjun Ying , Yinlu Han

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

An interesting physical process has been unveiled: dynamical core excitation during a breakup reaction of loosely bound $core+N$ systems. These reactions are typically used to extract spectroscopic information and/or astrophysical…

Nuclear Theory · Physics 2009-11-11 N. C. Summers , F. M. Nunes , I. J. Thompson

\begin{description} \item[Background] Fusion reactions play an important role in nucleosynthesis and in applications to society. Yet they remain challenging to model. \item[Purpose] In this work, we investigate the features of the…

Nuclear Theory · Physics 2025-07-16 J. Rangel , B. Pinheiro , V. A. B. Zagatto , J. Lubian , F. M. Nunes , L. F. Canto

We have studied the transfer reaction $^{14}$N($^7$Be,$^8$B)$^{13}$C at (\mathrm{E}_{\mathrm{lab}}=84) MeV, paying special attention to the effects of the coupling to the continuum in the exit channel. Using the Continuum Discretized…

Nuclear Theory · Physics 2009-11-07 A. M. Moro , R. Crespo , F. Nunes , I. J. Thompson

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

The competition among reaction processes of a weakly-bound projectile at intermediate times of a slow collision has been unraveled. This has been done using a two-center molecular continuum within a semiclassical, time-dependent…

Nuclear Theory · Physics 2021-07-14 Laura Moschini , Alexis Diaz-Torres

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 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

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

The continuum-discretized coupled-channels method (CDCC) for exclusive reactions and the eikonal reaction theory (ERT) as an extension of CDCC to inclusive reactions are applied to deuteron induced reactions. The CDCC result reproduces…

Nuclear Theory · Physics 2015-03-19 Shintaro Hashimoto , Masanobu Yahiro , Kazuyuki Ogata , Kosho Minomo , Satoshi Chiba

Dynamical coupled-channel (DCC) approaches parametrize the interactions and dynamics of two and more hadrons and their response to different electroweak probes. The inclusion of unitarity, three-body channels, and other properties from…

Nuclear Theory · Physics 2025-10-15 Michael Döring , Johann Haidenbauer , Maxim Mai , Toru Sato

We present a method for smoothing discrete breakup $S$-matrix elements calculated by the method of continuum-discretized coupled-channels (CDCC). This smoothing method makes it possible to apply CDCC to four-body breakup reactions. The…

Nuclear Theory · Physics 2009-08-05 Tomoaki Egami , Takuma Matsumoto , Kazuyuki Ogata , Masanobu Yahiro

In this brief review we discuss the basic theoretical concepts used in the experimental studies of the most common cases of direct reactions such as (a) elastic scattering, (b) inelastic scattering, (c) Coulomb excitation, (d) transfer…

Nuclear Theory · Physics 2022-01-25 Carlos A. Bertulani , Angela Bonaccorso

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