Quasiparticle random phase approximation with finite rank approximation for Skyrme interactions

Severyukhin, A. P.; Stoyanov, Ch.; Voronov, V. V.; Giai, Nguyen Van

doi:10.1103/physrevc.66.034304

Cited by 51 publications

(80 citation statements)

References 27 publications

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“…The explicit forms of the matrices A and B are given elsewhere [27][28][29][30]. Cd isotopes are compared with the experimental data obtained from Ref.…”

Section: Theoretical Modelsmentioning

confidence: 99%

Microscopic study of the isoscalar giant monopole resonance in Cd, Sn, and Pb isotopes

2012

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The isoscalar giant monopole resonance (ISGMR) in Cd, Sn, and Pb isotopes has been studied within the self-consistent Skyrme Hartree-Fock + BCS and quasiparticle random phase approximation (QRPA). Three Skyrme parameter sets are used in the calculations (i.e., SLy5, SkM * , and SkP) since they are characterized by different values of the compression modulus in symmetric nuclear matter; namely, K ∞ = 230, 217, and 202 MeV, respectively. We also investigate the effect of different types of pairing forces on the ISGMR in Cd, Sn, and Pb isotopes. The various calculated energies and the strength distributions of the ISGMR are compared with available experimental data. We find that SkP underestimates the various energies for all isotopes due to its low value of the nuclear matter incompressibility; namely, K ∞ = 202 MeV. However, it can give a better description on the constrained energies for Cd isotopes and a reasonable peak energy for some nuclei. On the other hand, the SLy5 parameter set, supplemented by an appropriate pairing interaction, gives a reasonable description of the scaling energies in Cd and Sn isotopes and a good centroid energy in Pb isotopes. A better description of ISGMR in Cd and Sn isotopes is achieved by the SkM * interaction, which has a somewhat softer value of the nuclear incompressibility.

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“…The explicit forms of the matrices A and B are given elsewhere [27][28][29][30]. Cd isotopes are compared with the experimental data obtained from Ref.…”

Section: Theoretical Modelsmentioning

confidence: 99%

Microscopic study of the isoscalar giant monopole resonance in Cd, Sn, and Pb isotopes

2012

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“…A competing methodology is based on the quasiparticle random phase approximation; recent application to octupole modes may be found in Refs. [7][8][9]. For a general review of the theory of octupole deformations and collective excitations, see Ref.…”

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confidence: 99%

“…The latter is typically treated by RPA or QRPA [7][8][9], but the most of the studies consider a small body of nuclei chosen by considerations emphasizing one characteristic or another, for example semi-magic isotope chains. Our study is the first to encompass not only magic and semi-magic ordinary nuclei, but the quadrupole-and octupole-deformed nuclei as well.…”

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confidence: 99%

Global systematics of octupole excitations in even-even nuclei

2011

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We present a computational methodology for a theory of the lowest octupole excitations applicable to all even-even nuclei beyond the lightest. The theory is the well-known generator-coordinate extension (GCM) of the Hartree-Fock-Bogoliubov self-consistent mean field theory (HFB). We use the discrete-basis Hill-Wheeler method (HW) to compute the wave functions with an interaction from the Gogny family of Hamiltonians. Comparing to the compiled experimental data on octupole excitations, we find that the performance of the theory depends on the deformation characteristics of the nucleus. For nondeformed nuclei, the theory reproduces the energies to about ±20 % apart from an overall scale factor of ≈ 1.6. The performance is somewhat poorer for (quadrupole) deformed nuclei, and for both together the dispersion of the scaled energies about the experimental values is about ±25 %. This compares favorably with the performance of similar theories of the quadrupole excitations. Nuclei having static octupole deformations in HFB form a special category. These nuclei have the smallest measured octupole excitation energies as well as the smallest predicted energies. However, in these cases the energies are seriously underpredicted by the theory.We find that a simple two-configuration approximation, the Minimization After Projection method,

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“…To study the properties of the electric excitations one can adopt some effective value for k F to give an accurate representation of the central p-h Skyrme interaction [16,32]. In this work, the nuclear matter value for k F is used.…”

Section: Application To 126−130 CDmentioning

confidence: 99%

Gamow-Teller resonances and a separable approximation for Skyrme tensor interactions

Severyukhin

Sagawa

2012

EPJ Web of Conferences

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Abstract.A finite rank separable approximation for the quasiparticle random phase approximation (QRPA) with Skyrme interactions is applied to study properties of the Gamow-Teller (GT) resonances in the neutronrich Cd isotopes. This approximation enables one to reduce considerably the dimension of matrix that must be diagonalized to perform QRPA calculations in a very large configuration space. Our results from the SGII Skyrme interaction with the tensor interactions and the density-dependent zero-range pairing interaction show that the GT distribution is noticeably modified when the tensor correlations are taken into account. In particular, for 130 Cd the dominant peak is moved 3.6 MeV downward and 10% of the GT distribution is shifted to the high excitation energy region near E=50MeV.

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Quasiparticle random phase approximation with finite rank approximation for Skyrme interactions

Cited by 51 publications

References 27 publications

Microscopic study of the isoscalar giant monopole resonance in Cd, Sn, and Pb isotopes

Microscopic study of the isoscalar giant monopole resonance in Cd, Sn, and Pb isotopes

Global systematics of octupole excitations in even-even nuclei

Gamow-Teller resonances and a separable approximation for Skyrme tensor interactions

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