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

Lisetskiy, A. F.; Pietralla, N.; Fransen, C.; Jolos, R. V.; Brentano, P. von

doi:10.1016/s0375-9474(00)00255-4

Cited by 80 publications

(62 citation statements)

References 41 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…(1) relied on specific signatures as predicted by the IBM-2. These IBM-2 predictions and assignments for mixed-symmetry states were found to be in an impressive agreement with the data [29][30][31][32] and are further supported by microscopic calculations [34,35]. This motivates us to use the IBM-2 to extract structure information out of this extensive set of measured M1 decay strengths in 94 Mo.…”

Section: Introductionsupporting

confidence: 69%

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

et al. 2002

Self Cite

View full text Add to dashboard Cite

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.

show abstract

Section: Introductionsupporting

confidence: 69%

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

et al. 2002

Self Cite

View full text Add to dashboard Cite

show abstract

“…Although the dominant proton orbit changes from g 9/2 above 92 Zr to the upper part of the pf shell in 88 Kr, the collectivity of the lowest MS state remains at the same level. However, it should be noted that all experimentally known B(M1; 2 For 94 Mo a good description of the M1 transition strength was obtained by a shell-model approach using the surface delta interaction (SDI) as the residual interaction and 88 Sr as an inert core [17]. Using the same model space, SDI parameters, and effective g factors a similar good agreement for the B(M1; 2 + ms → 2 + 1 ) value of one-phonon MS states in 92 Zr and 96 Ru is achieved.…”

Section: Discussionmentioning

confidence: 99%

“…Here, the evolution of MS states in N = 52 isotones can be tracked over different proton shells. This enables the investigation of the variation of the proton-neutron interaction as a function of the nuclear valence space [17].…”

Section: Introductionmentioning

confidence: 99%

Relativistic Coulomb excitation of Kr88

Moschner¹,

Blazhev²,

Jolie³

et al. 2016

Phys. Rev. C

Self Cite

View full text Add to dashboard Cite

Relativistic Coulomb excitation of 88KrMoschner, K.; Blazhev, A.; Jolie, J.; Warr, N.; Boutachkov, P.; Bednarczyk, P.; Sieja, K.; Algora, A.; Ameil, F.; Bentley, M. A.; Brambilla, S.; Braun, N.; Camera, F. To investigate the systematics of mixed-symmetry states in N = 52 isotones, a relativistic Coulomb excitation experiment was performed during the PreSPEC campaign at the GSI Helmholtzzentrum für Schwerionenforschung to determine E2 transition strengths to 2 + states of the radioactive nucleus 88 Kr. Absolute transition rates could be measured towards the first and third 2 + states. For the latter a mixed-symmetry character is suggested on the basis of the indication for a strong M1 transition to the fully symmetric 2 1 + state, extending the knowledge of the N = 52 isotones below Z = 40. A comparison with the proton-neutron interacting boson model and shell-model predictions is made and supports the assignment.

show abstract

“…Multiphonon structures of MSSs are observed in the nucleus 94 Mo [10,11,12], in neighboring nuclei * Electronic address: jholt@triumf.ca [13,14,15], and recently the first MSSs in an oddmass nearly-spherical nucleus were identified in 93 Nb [16]. Even though the experimental properties of MSSs in this region have been well described within the framework of the IBM-2 [17,18], the nuclear shell model (SM) [14,19], and the quasiparticle-phonon model [20], the question of how these states arise and evolve has not yet been answered.In this Letter, we provide the first microscopic foundation for the formation and evolution of the fundamental MSS of vibrational nuclei, the one-quadrupole phonon 2 + 1,ms state, from SM calculations using the lowmomentum nucleon-nucleon (NN) interaction V low k [21]. V low k defines a new class of NN interaction with a variable momentum cutoff (or resolution scale) that reproduces low-energy two-nucleon observables.…”

mentioning

confidence: 99%

“…The calculated SM wavefunctions are generally complicated, but as discussed in [19], MS structure is evident in the dominant components. …”

mentioning

confidence: 99%

Microscopic restoration of proton-neutron mixed symmetry in weakly collective nuclei

et al. 2007

Self Cite

View full text Add to dashboard Cite

Starting from the microscopic low-momentum nucleon-nucleon interaction V low k , we present the first systematic shell model study of magnetic moments and magnetic dipole transition strengths of the basic low-energy one-quadrupole phonon excitations in nearly-spherical nuclei. Studying in particular the even-even N = 52 isotones from 92 Zr to 100 Cd , we find the predicted evolution of the predominantly proton-neutron non-symmetric state reveals a restoration of collective proton-neutron mixed-symmetry structure near mid-shell. This provides the first explanation for the existence of pronounced collective mixed-symmetry structures in weakly-collective nuclei.PACS numbers: 21.60. Cs, Mesoscopic quantum systems such as Bose-Einstein condensates, superconductors, and quark-gluon systems are some of the most intensely studied in contemporary physics [1,2]. Their dynamical properties are determined by the interplay and mutual balance of collective and single-particle degrees of freedom. In two fluid systems such as atomic nuclei, the presence of an isospin degree of freedom only serves to enhance this complexity. Of particular interest for understanding the physics of these systems is the microscopic origin of those excitations possessing collective two-fluid character. Collective quadrupole isovector excitations in the valence shell, socalled mixed-symmetry states (MSSs) [3], are the beststudied examples of this class of excitations. A special type of MSS, the 1 + scissor mode, was predicted to exist [4] and discovered [5] in atomic nuclei. It is not surprising then, that analogous scissor-mode states have subsequently been found in other two-fluid quantum systems such as trapped Bose-Einstein condensed gases [6,7], metallic clusters [8], and elliptical quantum dots [9].Even though MSSs are a common feature of two-fluid quantum systems, atomic nuclei are still the primary laboratory in which our understanding of them can be shaped. In the interacting boson model of heavy nuclei (IBM-2) the definition of MSSs is formalized by the bosonic F -spin symmetry [3]. It arises predominantly from a collective coupling of proton and neutron sub-systems, and when the proton/neutron (pn) valence spaces are large enough, strong coupling can arise between them. Naturally then, the best examples of pnsymmetric and MSSs would be expected at mid shells. However, pronounced MSSs have recently also been observed in weakly collective nuclei especially in N = 52 isotones. Multiphonon structures of MSSs are observed in the nucleus 94 Mo [10,11,12], in neighboring nuclei * Electronic address: jholt@triumf.ca [13,14,15], and recently the first MSSs in an oddmass nearly-spherical nucleus were identified in 93 Nb [16]. Even though the experimental properties of MSSs in this region have been well described within the framework of the IBM-2 [17,18], the nuclear shell model (SM) [14,19], and the quasiparticle-phonon model [20], the question of how these states arise and evolve has not yet been answered.In this Letter, we provide the first micros...

show abstract

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

Cited by 80 publications

References 41 publications

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

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

Relativistic Coulomb excitation of Kr88

Microscopic restoration of proton-neutron mixed symmetry in weakly collective nuclei

Contact Info

Product

Resources

About