Deformation dependence of magnetic dipole strength below 4 MeV in doubly even rare earth nuclei

Hamamoto, I.; Magnusson, C. Edward

doi:10.1016/0370-2693(91)90960-x

Cited by 49 publications

(14 citation statements)

References 5 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Concerning the first point, calculations carried out by different groups using not selfconsistent interactions have already reproduced fairly well the deformation law [59,118,62]. The crucial role of pairing correlations in enforcing such a law was particularly stressed, so it is not clear whether with the simple BCS approximation used in the present approach is good enough.…”

Section: M1 Transition In the Rqrpamentioning

confidence: 95%

Relativistic quasiparticle random phase approximation in deformed nuclei

Arteaga

Ring

2007

Progress in Particle and Nuclear Physics

View full text Add to dashboard Cite

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

show abstract

Section: M1 Transition In the Rqrpamentioning

confidence: 95%

Relativistic quasiparticle random phase approximation in deformed nuclei

Arteaga

Ring

2007

Progress in Particle and Nuclear Physics

View full text Add to dashboard Cite

show abstract

“…Since the time of receipt of this manuscript two works have appeared which relate B(M1) (scissors) to BE2 (0,~2&). Using somewhat different approaches, Hamamoto and Magnusson [18] and Garrido et al [19] conclude that in order to get the orbital B(M1) strength to be proportional to 6 rather than to 5 one must include pairing.…”

Section: Closing Remarksmentioning

confidence: 99%

Quadrupole collectivity of summed magnetic dipole orbital strength using schematic interactions

Zamick

Zheng

1991

Phys. Rev. C

View full text Add to dashboard Cite

We perform shell-model calculations in Ne for the summed magnetic dipole orbital strength and spin strength with a schematic interaction consisting of single-particle splitting, an isospin-conserving pairing interaction, and a quadrupole-quadrupole interaction. We consider four channels: orbital excitations to J = 1+ T= 1 states, and then to J = 1+ T = 2 states; spin excitations to J= 1+ T = 1 states, and then to J=1+ T =2 states. For the orbital T~T channel, the summed M1 strength varies quadratically with the size of the quadrupole interaction x for small values of this parameter when degenerate singleparticle energies are used. Using realistic single-particle splitting does not destroy the quadrupole collectivity. The other three channels respond in different manners. We also consider linear-energyweighted sum rules for which analytic results are obtained. The relevance of this work to experiments on orbital strengths and their relations to quadrupole excitations is discussed.

show abstract

“…[16][17][18][19][20][21][22]. The 1 + mode is expected to be dominantly excited by the isovector part of the M1 operator indicating its isovector character.…”

Section: Introductionmentioning

confidence: 99%

Shell model description of “mixed-symmetry” states in Mo

et al. 2000

View full text Add to dashboard Cite

Shell model calculations have been performed for the nucleus 94 Mo. The calculated excitation energies and electromagnetic properties of low-lying states are in good agreement with the data, which include states with mixedsymmetry (MS) assignments in previous Interacting Boson Model studies. In the shell model large isoscalar E2 matrix elements are found between states with MS assignments indicating that they form a class of states with similar proton-neutron symmetry.Typeset using REVT E X 1

show abstract

Deformation dependence of magnetic dipole strength below 4 MeV in doubly even rare earth nuclei

Cited by 49 publications

References 5 publications

Relativistic quasiparticle random phase approximation in deformed nuclei

Relativistic quasiparticle random phase approximation in deformed nuclei

Quadrupole collectivity of summed magnetic dipole orbital strength using schematic interactions

Shell model description of “mixed-symmetry” states in Mo

Contact Info

Product

Resources

About