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Related papers: Analysis of a low-energy correction to the eikonal…

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E-CDCC and DEA, two eikonal-based reaction models are compared to CDCC at low energy (e.g. 20AMeV) to study their behaviour in the regime at which the eikonal approximation is supposed to fail. We confirm that these models lack the Coulomb…

Nuclear Theory · Physics 2014-11-24 Pierre Capel , Tokuro Fukui , Kazuyuki Ogata

Background: Breakup reactions are often used to probe the nuclear structure of halo nuclei. The eikonal model diverges for Coulomb breakup since it relies on the adiabatic approximation. To correct this weakness, a Coulomb-corrected eikonal…

Nuclear Theory · Physics 2020-06-24 Chloë Hebborn , Daniel Baye

The study of exotic nuclear structures, such as halo nuclei, is usually performed through nuclear reactions. An accurate reaction model coupled to a realistic description of the projectile is needed to correctly interpret experimental data.…

Nuclear Theory · Physics 2016-08-03 P. Capel , F. Colomer , H. Esbensen , T. Fukui , R. C. Johnson , F. M. Nunes , K. Ogata

An eikonal expansion is used to provide systematic corrections to the eikonal approximation through order $1/k^2$, where $k$ is the wave number. Electron wave functions are obtained for the Dirac equation with a Coulomb potential. They are…

Nuclear Theory · Physics 2015-05-13 J. A. Tjon , S. J. Wallace

An eikonal expansion is developed in order to provide systematic corrections to the eikonal approximation through order 1/k^2, where k is the wave number. The expansion is applied to wave functions for the Klein-Gordon equation and for the…

Nuclear Theory · Physics 2011-07-19 J. A. Tjon , S. J. Wallace

Background: The eikonal approximation is a high-energy reaction model which is very computationally efficient and provides a simple interpretation of the collision. Unfortunately, it is not valid at energies around 10 MeV/nucleon, the range…

Nuclear Theory · Physics 2018-10-24 Chloë Hebborn , Pierre Capel

Coulomb corrections for quasi-elastic scattering of electrons by nuclei are calculated using eikonal distorted waves. Corrections to the lowest-order eikonal approximation are included in order to obtain accurate results. Spin-dependent…

Nuclear Theory · Physics 2008-11-26 J. A. Tjon , S. J. Wallace

Various corrections to the eikonal approximations are studied for two- and three-body nuclear collisions with the goal to extend the range of validity of this approximation to beam energies of 10 MeV/nucleon. Wallace's correction does not…

Nuclear Theory · Physics 2017-11-29 Chloë Hebborn , Pierre Capel

A new version of the method of Continuum-Discretized Coupled-Channels method (CDCC) is proposed, that is, the Eikonal-CDCC method (E-CDCC). The E-CDCC equation, for Coulomb dissociation in particular, can easily and safely be solved, since…

Nuclear Theory · Physics 2007-05-23 Kazuyuki Ogata , M. Yahiro , Y. Iseri , T. Matsumoto , N. Yamashita , M. Kamimura

The continuum-discretized coupled-channels (CDCC) method is used to study the breakup of weakly-bound nuclei at intermediate energies collisions. For large impact parameters, the Eikonal CDCC (E-CDCC) method was applied. The effects of…

Nuclear Theory · Physics 2014-11-20 Kazuyuki Ogata , C. A. Bertulani

The eikonal description of breakup reactions diverges because of the Coulomb interaction between the projectile and the target. This divergence is due to the adiabatic, or sudden, approximation usually made, which is incompatible with the…

Nuclear Theory · Physics 2008-12-18 P. Capel , D. Baye , Y. Suzuki

We address the problem of including Coulomb distortion effects in inclusive quasielastic (e,e') reactions using the eikonal approximation. Our results indicate that Coulomb corrections may become large for heavy nuclei for certain…

Nuclear Theory · Physics 2014-11-18 Andreas Aste , Kai Hencken , Juerg Jourdan , Ingo Sick , Dirk Trautmann

The role of the effective momentum approximation to disentangle Coulomb distortion effects in quasielastic $(e,e')$ reactions is investigated. The separation of the cross section in longitudinal and transverse components is discussed…

Nuclear Theory · Physics 2009-11-07 Marco Traini

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 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

An essential part of experimental program at the future Electron Ion Collider is the study of the nuclear structure and dynamics at low $x$. DIS at low $x$ is characterized by large longitudinal coherence length that by far exceeds radii of…

High Energy Physics - Phenomenology · Physics 2015-07-08 Kirill Tuchin

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

A technique to deal with Coulomb electron distortions in the analysis of (e,e'p) reactions is presented. Thereby, no approximations are made. The suggested technique relies on a partial-wave expansion of the electron wave functions and a…

Nuclear Theory · Physics 2008-11-26 V. Van der Sluys , K. Heyde , J. Ryckebusch , M. Waroquier

For the last decades, multiple international facilities have developed Radioactive-Ion Beams (RIB) to measure reaction processes including exotic nuclei. These measurements coupled with an accurate theoretical model of the reaction enable…

Nuclear Theory · Physics 2017-02-21 Chloë Hebborn , Pierre Capel

We re-examine the deuteron elastic breakup cross sections on 12C and 10Be at low incident energies, for which a serious discrepancy between the continuum-discretized coupled-channels method (CDCC) and the Faddeev-Alt-Grassberger-Sandhas…

Nuclear Theory · Physics 2016-11-30 Kazuyuki Ogata , Kazuki Yoshida
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