Coupling of collective states in the continuum: an application to<sup>4</sup>He

Vasilevsky, V. S.; Filippov, G.F.; Arickx, F.; Broeckhove, J.; Leuven, P. Van

doi:10.1088/0954-3899/18/7/011

Cited by 11 publications

(23 citation statements)

References 15 publications

(1 reference statement)

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“…For the α-α channel, it is naturally defined by letting the intercluster radius r tend to infinity: the threshold energy then amounts to twice the binding energy of the α particle, as no effective interaction component remains between both clusters. The definition of the threshold energies for the monopole and quadrupole channels is given in [33]. It is obtained by letting the respective collective coordinate tend to infinity.…”

Section: Numerical Application and Resultsmentioning

confidence: 99%

Monopole and quadrupole polarization effects on the α-particle description ofBe8

et al. 2005

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We investigate the effect of monopole and quadrupole modes on the elastic α-α resonance structure of 8 Be.To this end, we make a fully microscopic coupled-channels calculation with three coupled channels, using the algebraic model. The continuum spectrum and wave functions are analyzed in terms of the individual channels to understand the nature of the resonances. It is shown that both monopole and quadrupole modes have a nonnegligible effect on the resonances in the α-α continuum.

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Section: Numerical Application and Resultsmentioning

confidence: 99%

Monopole and quadrupole polarization effects on the α-particle description ofBe8

et al. 2005

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“…This problem was already recognized in [7], were a coupled channels calculated for 4 He was performed with the AM, in which both cluster and collective configurations were taken into account: the b value was fixed by physical arguments (essentially optimizing the cluster channel results), and very non-optimal for the collective channels (in particular the Monopole Mode).…”

Section: Stable Solutions For the Am Equationsmentioning

confidence: 99%

“…In the original version of the AM the asymptotic coefficients c ν were given by (6), and obtained from a simple three term recurrence relation, due to the very selective coupling induced by the kinetic energy operator between oscillator states. Instead of the original form, and based on (57), we propose a modified three term recurrence form, including the asymptotic behaviour of the potential matrix elements in the diagonal term…”

Section: New Strategies For Solving the Am Equationsmentioning

confidence: 99%

Algebraic model for quantum scattering: Reformulation, analysis, and numerical strategies

Vasilevsky

Arickx

1997

Phys. Rev. A

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The convergence problem for scattering states is studied in detail within the framework of the Algebraic Model, a representation of the Schrödinger equation in an L 2 basis. The dynamical equations of this model are reformulated featuring new "Dynamical Coefficients", which explicitly reveal the potential effects. A general analysis of the Dynamical Coefficients leads to an optimal basis yielding well converging, precise and stable results. A set of strategies for solving the equations for non-optimal bases is formulated based on the asymptotic behaviour of the Dynamical Coefficients. These strategies are shown to provide a dramatically improved convergence of the solutions.

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“…Initially the AM was applied to binary cluster configurations [1][2][3][4][5]. Later on it was extended to describe binary clusters coupled to collective (quadrupole and monopole) channels [5][6][7][8].…”

Section: Introductionmentioning

confidence: 99%

Algebraic model for scattering in three-s-cluster systems. I. Theoretical background

et al. 2001

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A framework to calculate two-particle matrix elements for fully antisymmetrized three-cluster configurations is presented. The theory is developed for a scattering situation described in terms of the Algebraic Model. This means that the nuclear many-particle state and its asymptotic behaviour are expanded in terms of oscillator states of the intra-cluster coordinates. The Generating Function technique is used to optimize the calculation of matrix elements. In order to derive the dynamical equations, a multichannel version of the Algebraic Model is presented.

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Coupling of collective states in the continuum: an application to⁴He

Abstract: We describe an 2 ' formalism for the continuum spectrum of coupled collective states in light nuclei. In particular, we consider the application to the monopole and quadrupole modes in 'He. We compute the phaseshifts and perform an extensive analysis of the resonance wavefunctions.

Cited by 11 publications

References 15 publications

Monopole and quadrupole polarization effects on the α-particle description ofBe8

Monopole and quadrupole polarization effects on the α-particle description ofBe8

Algebraic model for quantum scattering: Reformulation, analysis, and numerical strategies

Algebraic model for scattering in three-s-cluster systems. I. Theoretical background

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Coupling of collective states in the continuum: an application to4He

Abstract: We describe an 2 ' formalism for the continuum spectrum of coupled collective states in light nuclei. In particular, we consider the application to the monopole and quadrupole modes in 'He. We compute the phaseshifts and perform an extensive analysis of the resonance wavefunctions.

Cited by 11 publications

References 15 publications

Monopole and quadrupole polarization effects on the α-particle description ofBe8

Monopole and quadrupole polarization effects on the α-particle description ofBe8

Algebraic model for quantum scattering: Reformulation, analysis, and numerical strategies

Algebraic model for scattering in three-s-cluster systems. I. Theoretical background

Contact Info

Product

Resources

About

Coupling of collective states in the continuum: an application to⁴He