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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

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…

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

Recently, a square-integrable discrete basis, obtained performing a simple analytical local scale transformation to the harmonic oscillator basis, has been proposed and successfully applied to study the properties of two-body systems. Here,…

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

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 present a novel method of smoothing discrete breakup cross sections calculated by the method of continuum-discretized coupled-channels. The method based on the complex scaling method is tested with success for $^{58}$Ni($d$, $pn$)…

Nuclear Theory · Physics 2011-05-27 Takuma Matsumoto , Kiyoshi Katō , Masanobu Yahiro

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

We extend the ab initio no-core shell model/resonating-group method (NCSM/RGM) to projectile-target binary-cluster states where the projectile is a deuteron. We discuss the formalism in detail and give algebraic expressions for the…

Nuclear Theory · Physics 2015-03-18 Petr Navratil , Sofia Quaglioni

A simple three-body model of 6He is extended to include sd-continuum states in the picture in addition to the already investigated p-states. The role of different continuum components in the weakly bound nucleus 6He is studied by coupling…

Nuclear Theory · Physics 2016-04-20 Jagjit Singh , L. Fortunato

The ability of a recently developed square-integrable discrete basis to represent the properties of the continuum of a two-body system is investigated. The basis is obtained performing a simple analytic local scale transformation to the…

Nuclear Theory · Physics 2015-03-17 J. A. Lay , A. M. Moro , J. M. Arias , J. Gómez-Camacho

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

Fusion reactions of neutron-halo nuclei are investigated theoretically with a three-body model. The time-dependent wave-packet method is used to solve the three-body Schrodinger equation. The halo neutron behaves as a spectator during the…

Nuclear Theory · Physics 2010-04-05 Makoto Ito , Kazuhiro Yabana , Takashi Nakatsukasa , Manabu Ueda

We discuss calculations of three-body observables for the breakup of ^8B on a ^{58}Ni target at low energy using the coupled discretised continuum channels approach. Calculations of both the angular distribution of the ^7Be fragments and…

Nuclear Theory · Physics 2009-11-06 J. A. Tostevin , F. M. Nunes , I. J. Thompson

The inclusion of the continuum in the study of weakly-bound three-body systems is discussed. A transformed harmonic oscillator basis is introduced to provide an appropriate discrete and finite basis for treating the continuum part of the…

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

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

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 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

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 investigate projectile breakup effects on 6Li+209Bi elastic scattering near the Coulomb barrier with the four-body version of the continuum-discretized coupled-channel method (four-body CDCC). This is the first application of four-body…

Nuclear Theory · Physics 2015-06-05 Shin Watanabe , Takuma Matsumoto , Kosho Minomo , Masanobu Yahiro
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