Intrinsic states in the sdg interacting boson model

Yoshinaga, Naotaka

doi:10.1016/0375-9474(86)90364-7

Cited by 23 publications

(4 citation statements)

References 23 publications

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“…2, it can be concluded that sdgIBM provides a meaningful framework for describing By (IS4) data. This together with the recent /~4 data analysis [3] shows that sdgIBM is well suited for understanding hexadecupole (in addition to quadrupole [13,14,22]) properties of nuclei in rare-earth region.…”

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confidence: 79%

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B(IS4; 0 GS + ?4 ? + ) systematics in rare-earth nuclei: SUsdg (3) description

Devi

Kota

1993

Z. Physik A - Hadrons and Nuclei

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Abstract. The observed variation of B (IS4; 0+s ~4 +) with mass number A, that gives information about hexadecupole component in y-vibration, in rare-earth nuclei is studied in the SUsdg (3) limit of sdg interacting boson model employing IBM-2 to IBM-1 projected hexadecupole transition operator with effective charges determined using a multi-j shell mapping procedure. The SU~dg (3) limit provides a reasonably good description of the data. PACS: 21.10. Ky; 21.60.Fw; 23.20.Js; 27.70. + qThe experimental information about hexadecupole shapes and shape oscillations is obtained from measurements of hexadecupole deformation parameter f14 and ground state (GS) to y-band t0 + --->4 + cs ~ ) E4 transition strengths; the latter gives information about hexadecupole component in y-vibration. In the last three decades considerable amount of data on Be'S has accumulated for rare-earth (hereafter referred to as B. (IS4)) strengths in ' Sin, u 16~ 164Dy, 166'168Er, aY6yb, 182'184W, and 192Os using 65 MeV polarized protons and they have provided By (IS4) (or equivalently Y42 deformation c%2 ) systematics in rare-earth region. The purpose of this paper is to study the B~ (IS4) systematics in sdgIBM framework. Before proceeding further it should be mentioned that the iso-scalar hexadecupole mass transi- in proton, neutron spaces; (ii) derivation of exact expression for E4 matrix elements connecting members of GS-band to y-band in the S Usdg (3) limit (instead of using the Coherent State formalism [7,8]) and taking large-N limit.In proton-neutron sdgIBM the general hexadecupole transition operator Tf4(zrv) is written as rf4( v) = Z h 4 Q4;

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confidence: 79%

“…The expression (4) for ~ = 2 is same as (31.c) of [ 13 ] which is derived using a completely different method. It should be noted that eeXe, in (4) for 2 = 4 correspond to the quantity in square brackets in (2).…”

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confidence: 99%

B(IS4; 0 GS + ?4 ? + ) systematics in rare-earth nuclei: SUsdg (3) description

Devi

Kota

1993

Z. Physik A - Hadrons and Nuclei

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“…The upper scissor (estimated at 1.5-2 MeV higher than the scissor) is a dual oscillation and the symmetric (n-v) state (estimated at 1.5 MeV below the scissor) is a d-g oscillation. Based on band systematics, we should therefore be able to identify a 1+ level near 2 MeV with B(M1) strength to the GSB and if g' # 0, the g boson will give immediate B(M1) decays in the low bands, even in the limit of good F-spin [21]. These ideas can be extended away from the SU(3) limit using mean-field theory [22].…”

Section: (Sdg) Modelsmentioning

confidence: 99%

Magnetic dipole systematics in the rare-earth region

Morrison¹,

Brentano²,

Gelberg³

1989

J. Phys. G: Nucl. Part. Phys.

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In IBA descriptions of the magnetic dipole properties of rare-earth nuclei, we consider the effect of the inclusion of the g boson and high-spin intruder shells. Simple microscopic models are presented which ascribe to the g boson some of the effects of the fermion intruder shells, the hlliz and i,3i2 orbits, and the consequences of such a model, as an extension of the proton-neutron (sd) IBA-2, are outlined.

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“…In many cases they are not complete and only for very specific cases. For instance, (0, 4) × (4, 0) tables can be found in [24]. (2N, 0)0, 0; (4, 0)0, L (λ, µ), κ, L for L = 0, 2, 4 were given in [16].…”

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confidence: 99%