OWL: A code for the two-center shell model with spherical Woods–Saxon potentials

Díaz-Torres, A.

doi:10.1016/j.cpc.2017.10.019

Cited by 3 publications

(4 citation statements)

References 18 publications

(43 reference statements)

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“…Therefore, the discretized continuum defined taking into account both potential wells on the whole range should be the best approximation. To take into account this configuration in a time-dependent picture in the present formalism is, however, not possible, so we suggest the solution of the "two-center" method [46][47][48]. The natural extension of this paper would be then the development of a continuum-discretized coupled-channels calculation within the two-center formalism, to be compared to the exact solution of the time-dependent Schrödinger equation.…”

Section: Discussionmentioning

confidence: 99%

“…In a time-dependent model, to include the continuum of all the constituents at the same time one should compute a complete basis (including bound and continuum pseu- dostates) for the total system at each time step. This follows the so-called two-center method, widely used in atomic physics and recently applied for nuclear physics calculations [46][47][48].…”

Section: Exactmentioning

confidence: 99%

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Role of continuum in nuclear direct reactions with one-neutron halo nuclei: A one-dimensional model

2021

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Background:The problem of the scattering of a one-neutron halo nucleus by another nucleus might involve an extremely complicated solution, particularly when breakup and rearrangement channels are to be considered. Purpose:We construct a simple model to study the evolution of a single-particle wave function during the collision of a one-dimensional potential well by another well. Method: Our one-dimensional model provides the essential three-body nature of this problem, and allows for a much simpler application and assessment of different methods of solution. To simplify further the problem, we assume that the potential well representing the projectile moves according to a predetermined classical trajectory, although the internal motion of the "valence" particle is treated fully quantum mechanically. This corresponds to a semiclassical approach of the scattering problem, applicable in the case of heavy projectile and target. Different approaches are investigated to understand the dynamics involving one-body halo-like systems: the "exact" time-dependent solution of the Schrödinger equation is compared to a numerical continuum-discretized coupled-channels (CC) calculation presenting various model cases including different reaction channels. Results: This framework allows us to discuss the reaction mechanism and the role of the continuum, the inclusion of which in the CC calculation results to be crucial to reproduce the exact solution, even when the initial and final states are well bound. Conclusions:The dynamical situations under study can be linked to analogous problems solved in a threedimensional (3D) CC framework, so the present model provides a simple tool to understand the main challenges experienced in the usual 3D models with the treatment of the continuum.

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Section: Discussionmentioning

confidence: 99%

Section: Exactmentioning

confidence: 99%

Role of continuum in nuclear direct reactions with one-neutron halo nuclei: A one-dimensional model

2021

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show abstract

“…Therefore, the discretized continuum defined taking into account both potential wells on the whole range should be the best approximation. To take into account this configuration in a time-dependent picture in the present formalism is however not possible, so we suggest the solution of the "two-center" method [40,41,42]. The natural extension of this study would be then the development of a continuum-discretized coupled-channels calculation within the "two-center" formalism, to be compared to the exact solution of the time-dependent Schrödinger equation.…”

Section: Discussionmentioning

confidence: 99%

“…In a time-dependent model, to include the continuum of all the constituents at the same time one should compute a complete basis (including bound and continuum pseudostates) for the total system at each time step. This follows the so-called "twocenter" method, widely used in atomic physics and recently applied for nuclear physics calculations [40,41,42].…”

Section: Case Cmentioning

confidence: 99%

Role of continuum in nuclear direct reactions with one-neutron halo nuclei: a one-dimensional model

Moschini,

Moro,

Vitturi

2020

Preprint

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We study the evolution of a single-particle wave function during the collision of a one dimensional potential well by another well, which can be regarded as a simple model for the problem of the scattering of a one-neutron halo nucleus by another nucleus. This constitutes an effective three-body problem, whose solution in three dimensions can be extremely complicated, particularly when breakup and rearrangement channels are to be considered. Our one-dimensional model provides the essential three-body nature of this problem, and allows for a much simpler application and assessment of different methods of solution. To simplify further the problem, we assume that the potential well representing the projectile moves according to a predetermined classical trajectory, although the internal motion of the "valence" particle is treated fully quantum-mechanically. This corresponds to a semiclassical approach of the scattering problem. Different approaches are investigated to understand the dynamics involving one-body halo-like systems: the "exact" timedependent solution of the Schrödinger equation is compared to a numerical continuumdiscretized coupled-channels (CC) calculation presenting various model cases including different reaction channels. This framework allows us to discuss the reaction mechanism and the role of continuum, whose inclusion in the CC calculation results to be crucial to reproduce the "exact" solution, even when the initial and final states are well bound. We also link each dynamical situation with analogous problem solved in a three dimensional (3D) CC framework, discussing the main challenges experienced in the usual 3D models.

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Cranking inertia of odd nuclei from time-dependent pairing equations: Application to Th cold fission

Mirea

2019

Phys. Rev. C

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OWL: A code for the two-center shell model with spherical Woods–Saxon potentials

Cited by 3 publications

References 18 publications

Role of continuum in nuclear direct reactions with one-neutron halo nuclei: A one-dimensional model

Role of continuum in nuclear direct reactions with one-neutron halo nuclei: A one-dimensional model

Role of continuum in nuclear direct reactions with one-neutron halo nuclei: a one-dimensional model

Cranking inertia of odd nuclei from time-dependent pairing equations: Application to Th cold fission

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