Low-frequency<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mi>K</mml:mi><mml:mrow><mml:mi>π</mml:mi></mml:mrow></mml:msup><mml:mo>=</mml:mo><mml:msup><mml:mn>0</mml:mn><mml:mrow><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math>modes in deformed neutron-rich nuclei: Pairing- and β-vibrational modes of neutrons

Yoshida, Kenichi; Yamagami, M.

doi:10.1103/physrevc.77.044312

Cited by 22 publications

(45 citation statements)

References 71 publications

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“…For 34 Mg, we give a description of the total IS 2 + response concentrating on the microscopic structure of the low-lying states which are in overall accord with the theoretical results of Yoshida et al [35,36].…”

Section: Discussionsupporting

confidence: 76%

“…One can see a low-lying peak at 2-3 MeV Table I of Ref. [36]. One may notice that the two approaches give basically the same results and that the difference of about 200 keV between the two energy peaks (2.64 MeV in the HO basis and at 2.48 MeV in the THO basis) is due to the unperturbed 2qp transitions with energy E qpK + E qpK .…”

Section: Is 0 + Modesmentioning

confidence: 76%

“…A fully consistent HFB+QRPA approach with the Gogny effective interaction for spherical and deformed nuclei has been developed in a harmonic oscillator basis [34]. Standard QRPA equations have also been solved in a cylindrical box with the Skyrme effective interaction, not including neither spin-orbit effects nor the Coulomb residual interactions [35,36].…”

Section: Introductionmentioning

confidence: 99%

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Linear response of light deformed nuclei investigated by self-consistent quasiparticle random-phase approximation

et al. 2010

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We present a calculation of the properties of vibrational states in deformed, axially-symmetric even-even nuclei, within the framework of a fully self-consistent quasiparticle random phase approximation (QRPA). The same Skyrme energy density and density-dependent pairing functionals are used to calculate the mean field and the residual interaction in the particle-hole and particle-particle channels. We have tested our software in the case of spherical nuclei against fully self-consistent calculations published in the literature, finding excellent agreement. We investigate the consequences of neglecting the spin-orbit and Coulomb residual interactions in QRPA. Furthermore we discuss the improvement obtained in the QRPA result associated with the removal of spurious modes. Isoscalar and isovector responses in the deformed 24-26 Mg, 34 Mg isotopes are presented and compared to experimental findings.

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Section: Discussionsupporting

confidence: 76%

Section: Is 0 + Modesmentioning

confidence: 76%

Section: Introductionmentioning

confidence: 99%

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Linear response of light deformed nuclei investigated by self-consistent quasiparticle random-phase approximation

et al. 2010

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“…In Ref. [67], the properties of the low-lying K π = 0 + mode in 34 Mg have been studied, and the moments of inertia were calculated using the Thouless-Valatin method. In this section, effects of the momentum-dependent components of the Skyrme interaction on the isoscalar quadrupole strengths and the moments of inertia are discussed.…”

Section: Mgmentioning

confidence: 99%

Deformed quasiparticle-random-phase approximation for neutron-rich nuclei using the Skyrme energy density functional

Yoshida

Giai

2008

Phys. Rev. C

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We develop a new framework of the deformed quasiparticle-random-phase approximation (QRPA) where the Skyrme density functional and the density-dependent pairing functional are consistently treated. Numerical applications are carried out for the isovector dipole and the isoscalar quadrupole modes in the spherical 20O and in the deformed 26Ne nuclei, and the effect of the momentum-dependent terms of the Skyrme effective interaction for the energy-weighted sum rule is discussed. As a further application, we present for the first time the moments of inertia of 34Mg and 36Mg using the Thouless-Valatin procedure based on the self-consistent deformed QRPA, and we show the applicability of our new calculation scheme not only for the vibrational modes but also for the rotational modes in deformed neutron-rich nuclei

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“…The expression for the Thouless-Valatin inertia is well known in terms of the QRPA A and B matrices [11,[22][23][24]. However, its direct evaluation is not trivial due to the size of these matrices.…”

Section: Introductionmentioning

confidence: 99%

Collective inertia of the Nambu-Goldstone mode from linear response theory

Hinohara

2015

Phys. Rev. C

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Background: Spurious zero-energy Nambu-Goldstone (NG) modes appear when the symmetry of a system is spontaneously broken. The Thouless-Valatin inertia, the collective inertia of the NG mode, contains important information concerning collective motion.Purpose: To establish an efficient and precise method for deriving the collective inertia and the conjugate operator of a NG mode, we derive an expression for the response function in terms of the coordinate-momentum representation of the quasiparticle random-phase approximation which is valid even if a symmetry-restoring zeroenergy mode is present.Methods: We use the finite amplitude method for computing the response function of superfluid nuclei with the nuclear density functional theory.Results: We derived analytically the collective inertia and the conjugate coordinate operator of the NG mode from the zero-energy linear response with the momentum operator of the NG mode. The formulation is tested in the cases of translational and pairing rotational modes. Illustrative calculations are performed for the neutron pairing rotation in Sn isotopes, the proton pairing rotation in N = 82 isotones, and the neutron and proton pairing rotations around the 130 Xe nucleus. Conclusions:The proposed formulation allows us to compute the collective inertia of the NG mode precisely and efficiently. The conjugate coordinate operator can be utilized to remove spurious contributions to the strength distribution in the finite amplitude method.

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Low-frequencyKπ=0+modes in deformed neutron-rich nuclei: Pairing- and β-vibrational modes of neutrons

Cited by 22 publications

References 71 publications

Linear response of light deformed nuclei investigated by self-consistent quasiparticle random-phase approximation

Linear response of light deformed nuclei investigated by self-consistent quasiparticle random-phase approximation

Deformed quasiparticle-random-phase approximation for neutron-rich nuclei using the Skyrme energy density functional

Collective inertia of the Nambu-Goldstone mode from linear response theory

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