Analytical transformed harmonic oscillator basis for continuum discretized coupled channels calculations

Moro, A. M.; Arias, J. M.; Gómez‐Camacho, J.; Pérez‐Bernal, F.

doi:10.1103/physrevc.80.054605

Cited by 39 publications

(108 citation statements)

References 44 publications

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“…Four-body CDCC was first applied to a simpler case, i.e., 6 He scattering. The analysis was successful in reproducing the experimental data with no adjustable parameter for both elastic and breakup cross sections [6,8,[10][11][12][13][14][15][16][17][18][19][20].…”

Section: Introductionmentioning

confidence: 95%

Four-body dynamics inLi6elastic scattering

et al. 2015

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We analyze6 Li elastic scattering in a wide range of incident energies (Ein), assuming the n + p + α + target four-body model and solving the dynamics with the four-body version of the continuumdiscretized coupled-channels method (CDCC). Four-body CDCC well reproduces the experimental data with no adjustable parameter for 6 Li+ 209 Bi scattering at Ein = 24-50 MeV and 6 Li+ 208 Pb scattering at Ein = 29-210 MeV. In the wide Ein range, 6 Li breakup is significant and provides repulsive corrections to the folding potential. As an interesting property, d breakup is strongly suppressed in 6 Li-breakup processes independently of Ein. We investigate what causes the d-breakup suppression.

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Section: Introductionmentioning

confidence: 95%

Four-body dynamics inLi6elastic scattering

et al. 2015

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“…As the basis function, the Gaussian [14-16, 19, 23-25] or the transformed Harmonic Oscillator function [13,17,18,20,21] is usually taken. In this paper, we use the Gaussian function.…”

Section: Formentioning

confidence: 99%

Effects of four-body breakup on6Li elastic scattering near the Coulomb barrier

et al. 2012

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We investigate projectile breakup effects on 6 Li+ 209 Bi elastic scattering near the Coulomb barrier with the four-body version of the continuum-discretized coupled-channels method (four-body CDCC). This is the first application of four-body CDCC to 6 Li elastic scattering. The elastic scattering is well described by the p+n+ 4 He+ 209 Bi four-body model. We propose a reasonable three-body model for describing the four-body scattering, clarifying four-body dynamics of the elastic scattering.PACS numbers: 24.10. Eq, 25.60.Gc, 25.70.De Introduction. Plenty of nuclei are considered to have twocluster or three-cluster configurations as their main components. Three-cluster dynamics is, however, nontrivial compared with two-cluster dynamics. Systematic understanding of three-cluster dynamics is hence important. There are many nuclei that can be described by three-cluster models. For example, low-lying states of 6 He and 6 Li are explained by N + N + 4 He three-body models [1][2][3][4][5][6], where N stands for a nucleon. The comparison of the two nuclei is important to see the difference between dineutron and proton-neutron correlations. Two-neutron halo nuclei such as 11 Li, 14 Be, and 22 C are reasonably described by an n + n + X three-cluster model, where X is a core nucleus. Properties of these threecluster configurations should be confirmed by measuring scattering of the nuclei and analyzing the measured cross sections with accurate reaction theories. The reactions are essentially four-body scattering composed of three constituents of projectile and a target nucleus. Accurate theoretical description of four-body scattering is thus an important subject in nuclear physics.The continuum-discretized coupled-channels method (CDCC) is a fully quantum-mechanical method of describing not only three-body scattering but also four-body scattering [7][8][9]. CDCC has succeeded in reproducing experimental data on both three-and four-body scattering. The theoretical foundation of CDCC is shown with the distorted Faddeev equation [10][11][12]. CDCC for four-body (three-body) scattering is often called four-body (three-body) CDCC; see Refs [13][14][15][16][17][18][19][20][21][22][23][24][25] and references therein for four-body CDCC. So far four-body CDCC was applied to only 6 He scattering.

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“…Due to the truncation of the basis required in any practical calculation, these eigenstates and their corresponding eigenvalues can be regarded as a finite approximation to the exact states of the system and are referred hereafter as pseudostates (PS). This procedure has been applied, for example, to describe the scattering of a two-body nucleus [3][4][5] and, more recently, also to the scattering of three-body nuclei [6][7][8][9]. A variety of bases have been used in these applications, such as harmonic oscillator (HO), Gaussian, Laguerre functions, etc.…”

Section: Introductionmentioning

confidence: 99%

Particle motion in a deformed potential using a transformed oscillator basis

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Moro²,

Arias³

et al. 2012

Phys. Rev. C

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The quantum description of a particle moving in a deformed potential is investigated. A pseudostate (PS) basis is used to represent the states of the composite system. This PS basis is obtained by diagonalizing the system Hamiltonian in a family of square integrable functions. In this work the transformed harmonic oscillator (THO) functions, obtained from the solutions of the harmonic oscillator using a local scale transformation (LST), are used. The proposed method is applied to the 11 Be nucleus, treated in a two-body model ( 10 Be + n). Structure observables have been studied. Wave functions and energies obtained for the bound states and some low-lying resonances are compared with those obtained by direct integration of the Schrödinger equation. The dipole and quadrupole electric transition probabilities for the low-energy continuum have been calculated in the THO basis, and compared with the exact distributions obtained with the scattering states.

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Analytical transformed harmonic oscillator basis for continuum discretized coupled channels calculations

Cited by 39 publications

References 44 publications

Four-body dynamics inLi6elastic scattering

Four-body dynamics inLi6elastic scattering

Effects of four-body breakup on6Li elastic scattering near the Coulomb barrier

Particle motion in a deformed potential using a transformed oscillator basis

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