Triaxiality and the determination of the cubic shape parameter<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mi>K</mml:mi><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math>from five observables

Werner, V.; Scholl, C.; Brentano, P. von

doi:10.1103/physrevc.71.054314

Cited by 19 publications

(13 citation statements)

References 57 publications

(77 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Similarly, the shell model yields large triaxiality for both isotopes, and fluctuations in K 3 are an order of magnitude larger in 88 Ge than in 86 Ge. We note that different cutoffs in the sums for deriving the shape invariants give consistent results, similar to previous works [62,63].…”

supporting

confidence: 89%

Triaxiality of neutron-rich Ge84,86,88 from low-energy nuclear spectra

Lettmann¹,

Werner²,

Pietralla³

et al. 2017

Phys. Rev. C

Self Cite

View full text Add to dashboard Cite

γ -ray transitions between low-spin states of the neutron-rich 84,86,88 Ge were measured by means of in-flight γ -ray spectroscopy at 270 MeV/u. Excited 6 + 1 , 4 + 1,2 , and 2 + 1,2 states of 84,86 Ge and 4 + 1 and 2 + 1,2 states of 88 Ge were observed. Furthermore, a candidate for a 3 + 1 state of 86 Ge was identified. This state plays a key role in the discussion of ground-state triaxiality of 86 Ge, along with other features of its low-energy level scheme. A new region of triaxially deformed nuclei is proposed in the Ge isotopic chain.

show abstract

supporting

confidence: 89%

Triaxiality of neutron-rich Ge84,86,88 from low-energy nuclear spectra

Lettmann¹,

Werner²,

Pietralla³

et al. 2017

Phys. Rev. C

Self Cite

View full text Add to dashboard Cite

show abstract

“…2, are "axially symmetric" and have γ ≈ 0. (Recent empirical estimates of the effective γ deformation of transitional and deformed rare-earth nuclei [32] yield comparably large dynamical γ softness. )…”

Section: Resultsmentioning

confidence: 98%

Effects ofβ−γcoupling in transitional nuclei and the validity of the approximate separation of variables

Caprio

2005

Phys. Rev. C

View full text Add to dashboard Cite

Exact numerical diagonalization is carried out for the Bohr Hamiltonian with a β-soft, axially stabilized potential. Wave function and observable properties are found to be dominated by strong β-γ coupling effects. The validity of the approximate separation of variables introduced with the X(5) model, extensively applied in recent analyses of axially stabilized transitional nuclei, is examined, and the reasons for its breakdown are analyzed.

show abstract

“…It is clear that the commutation relations defined in the IBM given in (22) are the same as those shown in (11) defined in the SU(3) shell model. Then the exact IBM image of a rigid triaxial rotor Hamiltonian should be given as the same functional form as that shown in (17) but with {L s ,Q s } replaced by {L b ,Q b }.…”

Section: The Ibm Image Of a Rigid Triaxial Rotormentioning

confidence: 69%

“…These are the spherical vibration in the U(5) limit, the axially symmetric rotation in the SU(3) limit, and the γ -unstable motion in the O(6) limit. Traditionally, the O(6) limit is often considered as the finite-N behavior of the (γ -soft) triaxiality in the IBM if up to two-body interactions are included in the Hamiltonian [21,22]. Since a rigid rotor Hamiltonian can be exactly mapped into the SU(3) shell model under the SU(3) ⊃ SO(3) integrity basis, the same mapping given in (17) can also be realized in the SU(3) limit of the IBM.…”

Section: The Ibm Image Of a Rigid Triaxial Rotormentioning

confidence: 99%

Triaxial rotor in the SU(3) limit of the interacting boson model

2014

View full text Add to dashboard Cite

A mapping from a triaxial rotor Hamiltonian to that of the SU(3) limit description in the interacting boson model (IBM) is established, which is achieved by the SU(3) realization of the triaxial rotor. A detailed comparison between the triaxial dynamics generated from the quadrupole-deformed rotor and those from the IBM image is made. The results indicate that the mapping can be well realized. A preliminary test for 128 Ba further confirms the finite-N effect of the mapping. It thus provides an alternative way to understand the triaxiality in the finite-N system and additional insight into understanding the SU(3) IBM theory from microscopic point of view via the SU(3) shell model. PHYSICAL REVIEW C 90, 044310 (2014) which thus generate the dynamical symmetry group of the quantum rotor [20], the semidirect product group T 5 ⊗ s SO (3) with the Lie algebra denoted as t 5 ⊕ so(3). In the body-fixed principal-axial system, one has [7-9] 044310-2

show abstract

Triaxiality and the determination of the cubic shape parameterK3from five observables

Cited by 19 publications

References 57 publications

Triaxiality of neutron-rich Ge84,86,88 from low-energy nuclear spectra

Triaxiality of neutron-rich Ge84,86,88 from low-energy nuclear spectra

Effects ofβ−γcoupling in transitional nuclei and the validity of the approximate separation of variables

Triaxial rotor in the SU(3) limit of the interacting boson model

Contact Info

Product

Resources

About