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Following earlier one-step calculations, we explore the contributions of multi-step effects for the breakup of low energy $^8$B on $^{58}$Ni and $^{208}$Pb within a coupled discretised continuum channels (CDCC) formalism. The Coulomb…

Nuclear Theory · Physics 2009-10-31 F. M. Nunes , I. J. Thompson

Predictions of the spectroscopic properties of low-lying states are critical for nuclear structure studies, but are problematic for nuclei with an odd nucleon due to the interplay of the unpaired single particle with nuclear collective…

Nuclear Theory · Physics 2017-12-06 S. Quan , W. P. Liu , Z. P. Li , M. S. Smith

These lecture notes are addressed to PhD student and/or researchers who want a general overview of microscopic approaches based on mean-field and applied to nuclear dynamics. Our goal is to provide a good description of low energy heavy-ion…

Nuclear Theory · Physics 2009-04-20 Cédric Simenel , Benoît Avez , Denis Lacroix

A multi-channel algebraic scattering theory, to find solutions of coupled-channel scattering problems with interactions determined by collective models, has been structured to ensure that the Pauli principle is not violated. Positive…

Nuclear Theory · Physics 2009-11-11 K. Amos , P. Fraser , S. Karataglidis , D. van der Knijff , J. P Svenne , L. Canton , G. Pisent

A general quantum many-body theory in configuration space is developed by extending the traditional coupled cluter method (CCM) to a variational formalism. Two independent sets of distribution functions are introduced to evaluate the…

Strongly Correlated Electrons · Physics 2009-11-07 Y. Xian

Quantum embedding methods have recently developed significantly to model large molecular structures. This work proposes a novel wave function theory in density functional theory (WTF-in-DFT) embedding scheme based on pair-coupled cluster…

Chemical Physics · Physics 2024-01-10 Rahul Chakraborty , Katharina Boguslawski , Paweł Tecmer

The multi-channel Coulomb scattering problem in the adiabatic representation is considered. The non-adiabatic coupling matrix is assumed to have a non-zero asymptotic behavior at large internuclear separations. The asymptotic solutions at…

Atomic Physics · Physics 2020-01-09 S. L. Yakovlev , N. Elander

We introduce a range-separation approximation to coupled cluster doubles (CCD) theory that successfully overcomes limitations of regular CCD when applied to the uniform electron gas. We combine the short-range ladder channel with the…

Chemical Physics · Physics 2014-05-07 James J. Shepherd , Thomas M. Henderson , Gustavo E. Scuseria

I develop a reduced basis emulator for continuum-discretized coupled-channel (CDCC) calculations that achieves speedups of $\sim 10^2$ while maintaining sub-percent accuracy. The emulator is constructed using the proper orthogonal…

Nuclear Theory · Physics 2025-12-22 Jin Lei

Coupled-channel dynamics for scattering and production processes in partial-wave amplitudes is discussed from a perspective that emphasizes unitarity and analyticity. We elaborate on several methods that have driven to important results in…

High Energy Physics - Phenomenology · Physics 2020-01-08 J. A. Oller

Extensions of the eikonal approximation to low energy (20MeV/nucleon typically) are studied. The relation between the dynamical eikonal approximation (DEA) and the continuum-discretized coupled-channels method with the eikonal approximation…

Nuclear Theory · Physics 2014-09-25 Tokuro Fukui , Kazuyuki Ogata , Pierre Capel

The goal of this paper is to calculate bound, resonant and scattering states in the coupled-channel formalism without relying on the boundary conditions at large distances. The coupled-channel solution is expanded in eigenchannel bases i.e.…

Nuclear Theory · Physics 2014-01-13 R. M. Id Betan

This note shows how classical tools from linear control theory can be leveraged to provide a global analysis of nonlinear reaction-diffusion models. The approach is differential in nature. It proceeds from classical tools of contraction…

Systems and Control · Electrical Eng. & Systems 2020-12-18 Felix Miranda-Villatoro , Rodolphe Sepulchre

The process of nuclear multifragmentation has been implemented, together with evaporation and fission channels of the disintegration of excited remnants in nucleus-nucleus collisions using percolation theory and the intranuclear cascade…

Nuclear Theory · Physics 2009-11-07 G. Musulmanbekov , A. Al--Haidary

We describe a semiclassical treatment of nuclear fusion reactions involving weakly bound nuclei. In this treatment, the complete fusion probabilities are approximated by products of two factors: a tunneling probability and the probability…

Nuclear Theory · Physics 2009-11-11 L. F. Canto , R. Donangelo , H. D. Marta

Background: Near-barrier fusion can be strongly affected by the coupling between relative motion and internal degrees of freedom of the collision partners. The time-dependent Hartree-Fock (TDHF) theory and the coupled-channels (CC) method…

Nuclear Theory · Physics 2013-12-09 C. Simenel , M. Dasgupta , D. J. Hinde , E. Williams

We develop a three body classical trajectory Monte Carlo (CTMC) method to dicsuss the effect of the breakup process on heavy-ion fusion reactions induced by weakly bound nuclei. This method follows the classical trajectories of breakup…

Nuclear Theory · Physics 2009-11-10 K. Hagino , M. Dasgupta , D. J. Hinde

The hadron-deuteron correlation function has attracted many interests as a potential method to access the three-hadron interactions. However, the weakly-bound nature of deuteron has not been considered in the preceding studies. In this…

Nuclear Theory · Physics 2021-07-07 Kazuyuki Ogata , Tokuro Fukui , Yuki Kamiya , Akira Ohnishi

A modified version of the Faddeev three-body equation to accommodate the Coulomb interaction, which was used in the study of three-nucleon bound states, is applied to the proton-deuteron scattering problem at energies below the three-body…

Nuclear Theory · Physics 2009-11-07 S. Ishikawa

The effect of core excitations in transfer reactions of the form A(d, p)B has been found to affect significantly the calculated cross sections and to depend strongly and non-linearly on the incident deuteron energy in Faddeev/AGS…

Nuclear Theory · Physics 2017-04-26 M. Gomez-Ramos , A. M. Moro
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