Quadratic M1 operator in the IBA

Lipas, P.O.; Gelberg, A.

doi:10.1088/0954-3899/16/11/016

Cited by 4 publications

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References 34 publications

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“…The above result is in accordance with that of Strutinsky (1956) which has been confirmed by Leander et a1 (1986). Bohr and Mottelson (1958), and Lipas (1963) gave results which differ from (2.86) in numerical coefficients. Surface effects are not taken into account when deriving formula (2.84), whereas, according to the droplet model Swiatecki 1969, 1974), these contribute to the electric dipole moment since the centre of mass of the neutron skin does not coincide, in general, with the centre of mass of the bulk.…”

Section: And(el P I = E P P R Y L W ( ? ) D3rmentioning

confidence: 87%

Octupole vibrations in nuclei

Rohoziński¹

1988

Rep. Prog. Phys.

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Section: And(el P I = E P P R Y L W ( ? ) D3rmentioning

confidence: 87%

Octupole vibrations in nuclei

Rohoziński¹

1988

Rep. Prog. Phys.

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“…Therefore,the observed E1 transition ampli- tudes are entirely due to the non uniformity of the nuclear charge distribution [45]. To calculate the value of B(E1)= (i||M(E1)||f ) 2 /(2J i + 1), the E1 transition operator has been assumed to have the form [46,47,48,49]…”

Section: Other Possible Tests Of the Critical-point Behaviormentioning

confidence: 99%

Description of nuclear octupole and quadrupole deformation close to the axial symmetry and phase transitions in the octupole mode

Bizzeti

Bizzeti‐Sona

2007

Collective Motion and Phase Transitions in Nuclear Systems

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The dynamics of nuclear collective motion is investigated in the case of reflection-asymmetric shapes. The model is based on a new parameterization of the octupole and quadrupole degrees of freedom, valid for nuclei close to the axial symmetry. Amplitudes of oscillation in other degrees of freedom different from the axial ones are assumed to be small, but not frozen to zero. The case of nuclei which already possess a permanent quadrupole deformation is discussed in some more detail and a simple solution is obtained at the critical point of the phase transition between harmonic octupole oscillation and a permanent asymmetric shape. The results are compared with experimental data of the Thorium isotopic chain. The isotope 226 Th is found to be close to the critical point. PACS numbers: 21.60.ev

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Proton-neutron symmetry in boson models of nuclear structure

Lipas¹,

Brentano²,

Gelberg³

1990

Rep. Prog. Phys.

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The present review deals with nuclear models which consider collective proton and neutron motion separately in terms of bosons. Extensions of the 'geometric' Bohr-Mottelson model are sketched, followed by a more extensive discussion of the 'algebraic' interacting-boson approximation (IBA-2). In the latter the concept of F spin plays a central role, and detailed attention is paid to its tensorial properties. A general projection method is presented whereby any IBA-2 calculation for states of maximal F spin can be transformed into a simpler one in IBA-1, where the proton-neutron distinction is ignored. Data are presented on F-spin multiplets, and global fits with the IBA are discussed. A major portion of the review is concerned with M1 transitions. Strong MIS in deformed and spherical nuciei, with emphasis on the latter, are discussed as resulting from a change in proton-neutron symmetry. Weak M l s are considered as reflecting such symmetry changes in small ampIitudes of the wavefunction. Attention is given to one-fluid boson models (IBA-I. geometric) simulating these t w f l u i d effects.

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Quadratic M1 operator in the IBA

Cited by 4 publications

References 34 publications

Octupole vibrations in nuclei

Octupole vibrations in nuclei

Description of nuclear octupole and quadrupole deformation close to the axial symmetry and phase transitions in the octupole mode

Proton-neutron symmetry in boson models of nuclear structure

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