Time-dependent analysis of the breakup of halo nuclei

Capel, Pierre; Baye, Daniel Jean; Melezhik, Vladimir S.

doi:10.1103/physrevc.68.014612

Cited by 78 publications

(181 citation statements)

References 37 publications

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“…As explained in Ref. [16], the effect of the nuclear interactions, though small, cannot be fully reproduced by a mere impact parameter cutoff. We also observe that the nuclear P-T interactions induce a small bump in the breakup cross section.…”

Section: Breakup Cross Sectionmentioning

confidence: 99%

“…4 as a function of the energy E. The calculations were performed with the same conditions as in Ref. [16], but for the 10 Be-n potential, which is the same as in Sec. 3.1 (i.e.…”

Section: Breakup Cross Sectionmentioning

confidence: 99%

“…The wave function Ψ at time t is then obtained iteratively using the evolution algorithm described in Ref. [16]. The calculation is performed for different trajectories parametrized by the impact parameter b.…”

Section: Time-dependent Modelmentioning

confidence: 99%

“…In this case, the optical potential simulating the nuclear interaction between 10 Be and 208 Pb is adapted from an α-208 Pb potential [24] as explained in Ref. [16]. The n-208 Pb potential is chosen to be the Becchetti and Greenlees parametrization [19].…”

Section: Breakup Cross Sectionmentioning

confidence: 99%

“…This approximation leads to the resolution of a time-dependent Schrödinger equation. Different techniques have been developed to solve this equation [11,12,13,14,15,16]. We use the technique described in Ref.…”

Section: Introductionmentioning

confidence: 99%

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Time-dependent analysis of the nuclear and Coulomb dissociation of 11Be

Capel¹,

Goldstein²,

Baye³

2005

AIP Conference Proceedings

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Abstract. The breakup of 11 Be on carbon and lead targets around 70 MeV/nucleon is investigated within a semiclassical framework. The role of the 5 2 + resonance is analyzed in both cases. It induces a narrow peak in the nuclear-induced breakup cross section, while its effect on Coulomb breakup is small. The nuclear interactions between the projectile and the target is responsible for the transition toward this resonant state. The influence of the parametrization of the 10 Be-n potential that simulates 11 Be is also addressed. The breakup calculation is found to be dependent on the potential choice. This leads us to question the reliability of this technique to extract spectroscopic factors.

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Section: Breakup Cross Sectionmentioning

confidence: 99%

“…4 as a function of the energy E. The calculations were performed with the same conditions as in Ref. [16], but for the 10 Be-n potential, which is the same as in Sec. 3.1 (i.e.…”

Section: Breakup Cross Sectionmentioning

confidence: 99%

Section: Time-dependent Modelmentioning

confidence: 99%

Section: Breakup Cross Sectionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Time-dependent analysis of the nuclear and Coulomb dissociation of 11Be

Capel¹,

Goldstein²,

Baye³

2005

AIP Conference Proceedings

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Lagrange‐mesh method for quantum‐mechanical problems

Baye

2006

Physica Status Solidi (b)

109

139

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The Lagrange-mesh method is an approximate variational calculation with the simplicity of a mesh calculation because of the use of a consistent Gauss quadrature. The method can be used for quantum-mechanical bound-state and scattering problems with local and non-local interactions or with a semi-relativistic kinetic energy, and for solving the time-dependent Schrödinger equation. No analytical evaluation of matrix elements is needed. The accuracy is exponential in the number of mesh points and is not significantly reduced with respect to the corresponding variational calculations. Lagrange functions can be based on classical or non-classical orthogonal polynomials as well as on trigonometric and sinc functions, as described in examples. Some singularities can be handled with a regularization technique. Applications to three-body systems are discussed for various choices of coordinate systems. The helium atom and hydrogen molecular ion are presented as examples.

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Introduction to Nuclear-Reaction Theory

Capel

2019

Springer Proceedings in Physics

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These notes summarise the lectures I gave during the summer school "International Scientific Meeting on Nuclear Physics" at La Rábida in Spain in June 2018. They offer an introduction to nuclear-reaction theory, starting with the basics in quantum scattering theory followed by the main models used to describe breakup reactions: the Continuum Discretised Coupled Channel method (CDCC), the Time-Dependent approach (TD) and the eikonal approximation. These models are illustrated on the study of the exotic structure of halo nuclei.

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Time-dependent analysis of the breakup of halo nuclei

Cited by 78 publications

References 37 publications

Time-dependent analysis of the nuclear and Coulomb dissociation of 11Be

Time-dependent analysis of the nuclear and Coulomb dissociation of 11Be

Lagrange‐mesh method for quantum‐mechanical problems

Introduction to Nuclear-Reaction Theory

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