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A novel approach is developed to find the three-body breakup amplitudes and cross sections within the modified Faddeev equation framework. The method is based on the lattice-like discretization of the three-body continuum with a three-body…

Nuclear Theory · Physics 2015-03-20 O. A. Rubtsova , V. N. Pomerantsev , V. I. Kukulin , Amand Faessler

The Borromean $^6$He nucleus is an exotic system characterized by two `halo' neutrons orbiting around a compact $^4$He (or $\alpha$) core, in which the binary subsystems are unbound. The simultaneous reproduction of its small binding energy…

Nuclear Theory · Physics 2016-11-30 Carolina Romero-Redondo , Sofia Quaglioni , Petr Navratil , Guillaume Hupin

We combine a recently developed ab initio many-body approach capable of describing simultaneously both bound and scattering states, the ab initio NCSM/RGM, with an importance truncation scheme for the cluster eigenstate basis and demostrate…

Nuclear Theory · Physics 2014-11-21 Petr Navratil , Robert Roth , Sofia Quaglioni

Inclusive breakup of three-body projectiles $a=i+j+k$ on a target $A$ admits two distinct inclusive observables: detection of a correlated pair $b=(ij)$ with $k+A$ unresolved, and detection of a single particle $i$ with $jk+A$ unresolved. A…

Nuclear Theory · Physics 2026-05-06 Jin Lei

Nucleon transfer reactions in deuteron-deuteron collisions at energies above the three- and four-body breakup threshold are described using exact four-body equations for transition operators that are solved in the momentum-space framework.…

Nuclear Theory · Physics 2017-06-05 A. Deltuva , A. C. Fonseca

We propose a new method to describe three-body breakups of nuclei, in which the Lippmann-Schwinger equation is solved combining with the complex scaling method. The complex-scaled solutions of the Lippmann-Schwinger equation (CSLS) enables…

Nuclear Theory · Physics 2009-11-19 Yuma Kikuchi , Takayuki Myo , Masaaki Takashina , Kiyoshi Kato , Kiyomi Ikeda

Three-body continuum states are investigated with the hyperspherical method on a Lagrange mesh. The $R$-matrix theory is used to treat the asymptotic behaviour of scattering wave functions. The formalism is developed for neutral as well as…

Nuclear Theory · Physics 2009-11-11 P. Descouvemont , E. M. Tursunov , D. Baye

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 analytic THO method is generalized to study three-body nuclei of astrophysical interest, and applied to $^6$He. Results are consistent with previous publications and experimental data.

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

The structure of the Borromean nucleus $^9$Be ($\alpha+\alpha+n$) is addressed within a three-body approach using the analytical transformed harmonic oscillator method. The three-body formalism provides an accurate description of the…

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

$ $An experiment has been carried out for studying the cluster structure of $^9$Be induced by the $^3$He ions at the energy of 30 MeV. As results of the nuclear reaction $^3$He + $^9$Be the differential cross sections for the exit channels…

The purpose of this work is to show that within a three-body description, the complete fusion process and the target excitation by the projectile can be taken into account by introducing a three-body optical potential in the formalism. We…

Nuclear Theory · Physics 2009-11-10 M. S. Hussein , B. V. Carlson , T. Frederico , T. Tarutina

Weakly bound and unbound three-body nuclei are studied by using the pseudostate method within the hyperspherical formalism. After introducing the theoretical framework, the method is applied first to the $\boldsymbol{^9}$Be nucleus, showing…

Nuclear Theory · Physics 2020-03-06 J. Casal , M. Rodríguez-Gallardo , J. M. Arias , J. Gómez-Camacho , L. Fortunato , A. Vitturi

Simultaneous analyses are performed for cross section data of elastic scattering, fusion, Coulomb breakup, and other direct yields for the $^{6}$He+$^{209}$Bi system at near-Coulomb-barrier energies. The bare and dynamical polarization…

Nuclear Theory · Physics 2024-02-08 H. M. Maridi , N. Keeley , K. Rusek

A coupled-channel approach is applied to the charged tetraquark state $T_{cc}^+$ recently discovered by the LHCb Collaboration. The parameters of the interaction are fixed by a fit to the observed line shape in the three-body $D^0D^0\pi^+$…

High Energy Physics - Phenomenology · Physics 2022-01-25 Meng-Lin Du , Vadim Baru , Xiang-Kun Dong , Arseniy Filin , Feng-Kun Guo , Christoph Hanhart , Alexey Nefediev , Juan Nieves , Qian Wang

The fusion reaction of a halo nucleus 11Be on 208Pb is described by a three-body direct reaction model. A time-dependent wave packet approach is applied to a three-body reaction problem. The wave packet approach enables us to obtain…

Nuclear Theory · Physics 2009-11-10 Kazuhiro Yabana , Manabu Ueda , Takashi Nakatsukasa

Modelling breakup reactions with exotic nuclei represents a challenge in several ways. The CDCC method (continuum discretized coupled channel) has been very successful in its various applications. Here, we briefly mention a few developments…

Nuclear Theory · Physics 2015-06-26 F. M. Nunes , A. M. Moro , A. M. Mukhamedzhanov , N. C. Summers

We discuss the role of break-up process of a loosely-bound projectile in subbarrier fusion reactions. Coupled-channels calculations are carried out for $^{11}$Be + $^{208}$Pb and $^{4,6}$He + $^{238}$U reactions by discretizing in energy…

Nuclear Theory · Physics 2017-08-23 K. Hagino , A. Vitturi

Nuclear particle production from peripheral to central events is presented. N/Z gradient between projectile and target is studied using the fact that two reactions have the same projectile+target N/Z and so the same neutron to proton ratio…

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