Description of the giant monopole resonance in the even-<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi>A</mml:mi></mml:mrow></mml:math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mmultiscripts><mml:mi mathvariant="normal">Sn</mml:mi><mml:mprescripts /><mml:none /><mml:mrow><mml:mn>112</mml:mn><mml:mo>−</mml:mo><mml:mn>124</mml:mn></mml:mrow></mml:mmultiscripts></mml:math>isotopes within a microscopic model including quasipartic

Tselyaev, V.; Speth, J.; Krewald, S.; Литвинова, Елена; Kamerdzhiev, S.; Lyutorovich, N.; Авдеенков, А. В.; Grümmer, F.

doi:10.1103/physrevc.79.034309

Cited by 41 publications

(51 citation statements)

References 35 publications

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“…We should mention that several previous works devoted to the study of the ISGMR strength in Sn isotopes are not fully self-consistent [15,23] since the spin-orbit interaction is not taken into account in the residual interaction. In Ref.…”

Section: Theoretical Modelsmentioning

confidence: 99%

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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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Section: Theoretical Modelsmentioning

confidence: 99%

“…[23] to describe the ISGMR strength distribution in Sn isotopes and 208 Pb. The theoretical models used are the QRPA and the quasiparticle time-blocking approximation (QTBA), that includes quasiparticle-phonon coupling.…”

Section: Introductionmentioning

confidence: 99%

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

2012

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“…In particular, the coupling to lowlying vibrations is known already for decades [23] as a very important mechanism of the formation of nuclear excited states and serves as a foundation for the so-called (quasi)particle-phonon coupling model. Implementations of this concept on the base of the modern density functionals have been extensively elaborated in non-relativistic [32,[52][53][54][55][56][57] and relativistic [45-51, 58, 59] frameworks.…”

Section: Relativistic Quasiparticle Time Blocking Approximation: mentioning

confidence: 99%

Nuclear response theory with multiphonon coupling in a covariant framework

Литвинова¹

2015

Phys. Rev. C

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Background: Nuclear excited states within a wide range of excitation energies are formally described by the linear response theory. Besides its conventional formulation within the quasiparticle random phase approximation (QRPA) representing excited states as two correlated quasiparticles (2q), there exist extensions for 4q configurations. Such extended approaches are quite successful in the description of gross properties of nuclear spectra, however, accounting for many of their fine features requires further extension of the configuration space. Purpose: This work aims at the development of an approach which is capable of such an extension as well as of reproducing and predicting fine spectral properties, which are of special interest at low energies. Method: The method is based on the covariant density functional theory and time blocking approximation, which is extended for couplings between quasiparticles and multiphonon excitations. Results: The covariant multiphonon response theory is developed and adopted for nuclear structure calculations in medium-mass and heavy nuclei. The equations are formulated in both general and coupled forms in the spherical basis. Conclusions: The developed covariant multiphonon response theory represents a new generation of the approaches to nuclear response, which aims at a unified description of both high-frequency collective states and low-energy spectroscopy in medium-mass and heavy nuclei.

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“…R (1) (r) is the radial part of the single-particle wave function, the quantity F ξ (r) determines the effective residual interaction in the pp channel (see [5,8] …”

Section: The Methods Of Eliminating the 0 + Spurious Statementioning

confidence: 99%

“…[8]. It is based on the Hartree-Fock and BCS approximations and is fully self-consistent on the RPA level.…”

Section: Calculations Of the 0 + Excitations In The 120 Sn Nucleusmentioning

confidence: 99%

Elimination of spurious 0+ states in the quasiparticle time blocking approximation

Tselyaev

2010

Bull. Russ. Acad. Sci. Phys.

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The quasiparticle time blocking approximation (QTBA) is considered as a model for the description of excitations in open-shell nuclei. The QTBA is an extension of the quasiparticle random phase approximation that includes quasiparticle-phonon coupling. In the present version of the QTBA, the pairing correlations are included within the framework of the BCS approximation.Thus, in this model, the 0 + spurious states appear, which are caused by the breaking of the symmetry related to the particle-number conservation. In this work, the method is described which solves the problem of the 0 + spurious states in the QTBA with the help of the projection technique.The method is illustrated by calculations of 0 + excitations in 120 Sn nucleus.

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Description of the giant monopole resonance in the even-ASn112−124isotopes within a microscopic model including quasipartic

Cited by 41 publications

References 35 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

Nuclear response theory with multiphonon coupling in a covariant framework

Elimination of spurious 0+ states in the quasiparticle time blocking approximation

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