The effect of the presence of quadrupole pairing on the properties ofKπ= 1+states in doubly even nuclei

Magnusson, C. Edward

doi:10.1088/0031-8949/43/5/004

Cited by 25 publications

(8 citation statements)

References 24 publications

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“…This interpretation is based on the examination of the quasi-particle structure of the RPA excitations from the two peaks of the calculated highenergy M1 spectrum in '"Sm. The peaks were found [25] at 7.5 and 8.5 MeV, i.e. the first peak lies about 1.5 MeV higher than the experimental one.…”

Section: Spin MI Strength Distributionmentioning

confidence: 61%

Spin- and deformation-dependent orbital M1 strength in rare-earth nuclei

Sarriguren

Guerra

Nojarov

et al. 1994

J. Phys. G: Nucl. Part. Phys.

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The M1 excitations in three isotope chains, 142,146,148,150Nd, 144,148,150,152,154Sm, and 156,158Gd, are studied within the quasi-particle random-phase approximation using a mean field given by a deformed Woods-Saxon potential and including quadrupole-quadrupole and spin-spin residual interactions. A residual rotation-vibration coupling ensures the exclusion of the spurious state. The behaviour of the M1 strength distribution is studied systematically in the whole range of experimentally explored excitation energies and compared with the large variety of experimental information, which includes both low-lying orbital and higher-lying spin-flip 1+ excitations. We have found a quadratic dependence of the M1 strength summed up to 4 MeV on the nuclear deformation reproducing at the same time the main features of the low-lying M1 spectra. The double-peaked structure of the spin M1 strength distribution found experimentally in several nuclei is qualitatively reproduced and interpreted as isoscalar and isovector peaks.

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Section: Spin MI Strength Distributionmentioning

confidence: 61%

Spin- and deformation-dependent orbital M1 strength in rare-earth nuclei

Sarriguren

Guerra

Nojarov

et al. 1994

J. Phys. G: Nucl. Part. Phys.

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“…This interaction is slightly more symmetric than that used in Ref. [12], but the difference is insignificant. The condition for rotational symmetry provides the same value for the isoscalar constant k S as in Eq.…”

Section: Decoupled Isovector Interactionmentioning

confidence: 70%

“…The above interpretation in terms of scissors mode is supported by some theoretical works [6][7][8][9][10] and questioned by others [11][12][13][14][15]. The scissors mode is found in Refs.…”

Section: Introductionmentioning

confidence: 74%

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High-energy scissors mode

1995

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All the orbital M1 excitations, at both low and high energies, obtained from a rotationally invariant QRPA, represent the fragmented scissors mode. The high-energy M1 strength is almost purely orbital and resides in the region of the isovector giant quadrupole resonance. In heavy deformed nuclei the highenergy scissors mode is strongly fragmented between 17 and 25 MeV (with uncertainties arising from the poor knowledge of the isovector potential). The coherent scissors motion is hindered by the fragmentation and B(M 1) < 0.25 µ 2 N for single transitions in this region. The (e, e ′ ) cross sections for excitations above 17 MeV are one order of magnitude larger for E2 than for M1 excitations even at backward angles.

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“…The profile of the spectrum exhibits two distinct bumps. These transition have been studied with relatively good success in the TDA [41,42] as well as in RPA [169,170,101,118]. There is however no conclusive answer to the interpretation of the observed two-peak structure.…”

Section: M1 Transition In the Rqrpamentioning

confidence: 99%

Relativistic quasiparticle random phase approximation in deformed nuclei

Arteaga

Ring

2007

Progress in Particle and Nuclear Physics

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Covariant density functional theory is used to analyse the response to the E1 and M1 electromagnetic transition operators in superfluid deformed nuclei in the framework of self-consistent Hartree-Bogoliubov theory and relativistic quasiparticle random phase (RQRPA) approximation. The fully self-consistent RHB+RQRPA equations are posed for the case of axial symmetry and for three different kinds of energy functionals, and solved with the help of a new parallel code. Special care is taken in order to validate the proper decoupling of spurious modes. Results of the first multipole magnetic operator (M1) response in light and heavy deformed nuclei are presented and analysed; in particular, the scissors mode and spin excitations. Qualitative agreement with experiment is obtained for the position of the scissors mode, and its structure as a rotation of the deformed neutron density against the deformed proton density reproduced. In addition to the scissors mode, a soft M1 mode with strong orbital character is found in heavy nuclei at relatively low energies. From the analysis of the proton and neutron transition densities in the intrinsic frame, and from the structure of the RQRPA amplitudes, it is concluded that this mode corresponds to a collective rotation of the deformed neutron skin against the deformed proton-neutron core. The response in light and heavy nuclei to the electric dipole operator (E1) is also given consideration. The position of the Giant Dipole Resonance is well reproduced within the RHB+RQRPA framework in axial symmetry. The effects of superfluidity and deformation on the Pygmy Dipole Resonance are closely examined. Excellent agreement with recent experimental results is found. v vi AcknowledgementsFirst and foremost I would like to thank my supervisor, Prof. Dr. Peter Ring, not only for stimulating discussions and timely advice, but also for his support throughout the various phases of the work presented in this document. His understanding and experience in many areas has made a pleasure working with him. I am particularly grateful for his optimism and overall confidence in the project, always trying to point me on the right direction but giving me enough leeway to learn from my own mistakes.Many thanks go to Roger Hilton, who was always a source of good humour and interesting conversations while at the TUM. He patiently read the first drafts and helped me polish all the rough edges, both in the contents and in the use of the English language.It is a pleasure for me to thank all my colleagues at the TUM Theory Department and at the TUM campus in Garching, who have provided support and company during my time in Munich, with a special mention to

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The effect of the presence of quadrupole pairing on the properties ofK^π= 1⁺states in doubly even nuclei

Cited by 25 publications

References 24 publications

Spin- and deformation-dependent orbital M1 strength in rare-earth nuclei

Spin- and deformation-dependent orbital M1 strength in rare-earth nuclei

High-energy scissors mode

Relativistic quasiparticle random phase approximation in deformed nuclei

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