Correlation between<i>E</i>2 and<i>M</i>1 transition strength in even-even vibrational, transitional, and deformed nuclei

Heyde, K.; Coster, C. De

doi:10.1103/physrevc.44.r2262

Cited by 41 publications

(39 citation statements)

References 19 publications

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“…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: 83%

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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Section: M1 Transition In the Rqrpamentioning

confidence: 83%

Relativistic quasiparticle random phase approximation in deformed nuclei

Arteaga

Ring

2007

Progress in Particle and Nuclear Physics

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“…These expressions are model independent, but further evaluation of the right-hand side demands model assumptions for the form of the electromagnetic operators and of the Hamiltonian. We have chosen to use the protonneutron interacting boson model the first cases to be discussed in this contextand more in particular the summed Ml strength is equally well described by this model as by the more complex microscopic models [7,ll, 12] whereas the analytic calculations, although still elaborate, give rise to relatively simple expressions with a straigthforward physical interpretation [13,14]. For reasons of completeness, we first briefiy introduce the model.…”

Section: Sum Rules In the Ibm-2mentioning

confidence: 99%

“…Within the nuclear shell model [22 -24] as well as in the interacting boson model [13,14,24,25], the correlation and saturation properties of both B(E2;0& -+ 2& ) and P«4 M, v B(M1;Oi~1 f ) were studied extensively starting &om a sum-rule approach. These developments caused a revival of the interest in sum-rule calculations in general within the IBM-2.…”

Section: Introductionmentioning

confidence: 99%

Sum rules in the proton-neutron interacting boson model: Generalized treatment and specific applications

Heyde¹,

Coster²,

Ooms³

1994

Phys. Rev. C

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A detailed study of sum rules for EO, E2 and M1 and M3 transitions within the framework of the proton-neutron interacting boson model (IBM-2) is carried out. Both the non-energy-weighted as well as linear energy-weighted sum rules are derived for rather general IBM-2 Hamiltonians. Special attention is given to the M1 sum rule for which a large amount of data exists. We also show how these more general sum rule results reduce to simple answers when considering the limit of U(5), SU(3), and O(6) dynamical symmetries. Finally, a relation between the Ml and M3 sum rules is pointed out. PACS number(s): 21.60.Fw, 23.20.Js

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“…The systematics of M1 strength from the ground state to the scissors state and its deformation dependence have been extensively measured and corroborated with a variety of sum rules both in even-mass [3][4][5][6][7] and odd-mass nuclei [8]. Within the proton-neutron version of the interacting boson model (IBM-2) [9][10][11], a sum rule [3] has related this strength to the number of quadrupole d-bosons in the ground state wave function.…”

Section: Introductionmentioning

confidence: 99%

ExtendedM1sum rule for excited symmetric and mixed-symmetry states in nuclei

et al. 2002

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A generalized M 1 sum rule for orbital magnetic dipole strength from excited symmetric states to mixed-symmetry states is considered within the protonneutron interacting boson model of even-even nuclei. Analytic expressions for the dominant terms in the B(M 1) transition rates from the 2 + 1,2 states are derived in the U(5) and SO(6) dynamic symmetry limits of the model, and the applicability of a sum rule approach is examined at and in-between these limits. Lastly, the sum rule is applied to the new data on mixed-symmetry states of 94 Mo and a quadrupole d-boson ratio n d (02 ) ≈ 0.6 is obtained in a largely parameter-independent way.

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Correlation betweenE2 andM1 transition strength in even-even vibrational, transitional, and deformed nuclei

Cited by 41 publications

References 19 publications

Relativistic quasiparticle random phase approximation in deformed nuclei

Relativistic quasiparticle random phase approximation in deformed nuclei

Sum rules in the proton-neutron interacting boson model: Generalized treatment and specific applications

ExtendedM1sum rule for excited symmetric and mixed-symmetry states in nuclei

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