An Improved Asymptotic Realization of the Projected Intrinsic State Approximation in IBM

Diallo, A. F.; Davis, E. D. D.; Barrett, B. R.

doi:10.1006/aphy.1993.1020

Cited by 12 publications

(6 citation statements)

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“…Just as before, the spectrum is same for all SU (απ,αν ) (3) algebras. Note that the lowest 1 + M level here is generated by the irrep (47,35) and the 0 + g level by the irrep (48,36). The B(M1) values for the decay of the 1 + level to the 0 + g level are calculated as before and the result for (α π : α ν ) = (+, +, + : +, +, +) is In concluding the analysis in IBM spaces, it is important to underline the key role played in Sections II and IV by the analytical results, valid for sufficiently large N (boson number) values, derived in [28].…”

Section: E B(e2) and B(m 1) Results From Sdgiibm-2mentioning

confidence: 99%

“…Turning briefly to the situation with κ πν = −1, for the N π = 6 and N ν = 8 system, the (λ, µ) are (48,36), (47,35), (46,34) (48,36)L, (47,35) and (46,34).…”

Section: E B(e2) and B(m 1) Results From Sdgiibm-2mentioning

confidence: 99%

“…It is important to mention that Eqs. (10) and (20) give quite accurate results (usually the error is less than a few percent) and further accuracy can be achieved, if needed, using the results given in [34,35] and their exten-…”

Section: Shell Model Su (3) Irreps For γ and Other Rotational Bands: Need For 3− And 4−body Interactionsmentioning

confidence: 98%

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Multiple SU(3) Algebras in Interacting Boson Model and Shell Model

Kota

2020

SU(3) Symmetry in Atomic Nuclei

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Rotational SU (3) algebraic symmetry continues to generate new results in the shell model (SM). Interestingly, it is possible to have multiple SU (3) algebras for nucleons occupying an oscillator shell η. Several different aspects of the multiple SU (3) algebras are investigated using shell model and also deformed shell model based on Hartree-Fock single particle states with nucleons in sdg orbits giving four SU (3) algebras. Results show that one of the SU (3) algebra generates prolate shapes, one oblate shape and the other two also generate prolate shape but one of them gives quiet small quadrupole moments for low-lying levels. These are inferred by using the standard form for the electric quadrupole transition operator and using quadrupole moments and B(E2) values in the ground K = 0 + band in three different examples. Multiple SU (3) algebras extend to interacting boson model and using sdgIBM, the structure of the four SU (3) algebras in this model are studied by coherent state analysis and asymptotic formulas for E2 matrix elements.The results from sdgIBM further support the conclusions from the sdg shell model examples.

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Section: E B(e2) and B(m 1) Results From Sdgiibm-2mentioning

confidence: 99%

“…Turning briefly to the situation with κ πν = −1, for the N π = 6 and N ν = 8 system, the (λ, µ) are (48,36), (47,35), (46,34) (48,36)L, (47,35) and (46,34).…”

Section: E B(e2) and B(m 1) Results From Sdgiibm-2mentioning

confidence: 99%

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Multiple SU(3) Algebras in Interacting Boson Model and Shell Model

Kota

2020

SU(3) Symmetry in Atomic Nuclei

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“…(8) For the IBM intrinsic states, we shall evaluate these elements using techniques discussed in Refs. [14,15]. Namely, the fact that the integrals in Eqs.…”

Section: Intrinsic Statesmentioning

confidence: 99%

F-spin mixing andM1 properties of the low-lying states in the neutron-proton interacting boson model

Dobeš

1995

Phys. Rev. C

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The F-spin mixing and M1 properties of the low-lying bands in the neutron-proton interacting boson model (IBM-2) are studied. Application of the intrinsic state formalism in the leading order in 1/N and of the perturbative approach makes it possible to obtain analytical expressions in which a dependence on F-spin breaking terms is clearly exhibited. A simple explanation of many features observed in numerical studies is given. Comparison between the IBM-2 results and the treatment of M1 properties with the extended M1 operator in the IBM-1 approach is discussed. PACS number(s): 21.10. Ky, 21.60.Ev, 21.60.Fw, 23.20.Js

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“…We expect the Haxtree-Bose approximation to yield at the very least qualitatively reliable results. For the deformed systems of interest to us, improvements in quantitative accuracy can be achieved by invoking the 1/L:expansion [19] of which this Hartree-Bose approximation is the leading term. which are proportional to 6), (9) provides a natural explanation of the celebrated quadratic increase in E_tl with _ first reported in [20].…”

Section: An Ibm-inspired Model For M1 Strengthmentioning

confidence: 99%