Moment of inertia in the interacting boson model

Mishra, A; Mantri, Atul

doi:10.1007/bf01290659

Cited by 3 publications

(3 citation statements)

References 14 publications

(19 reference statements)

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“…The numerical results of 2o and XQ for Sm and Gd isotopes are presented in Table 1 together with the sd IBM cranking results and the experimental values taken from Ref. [16]. It is seen that the sdg IBM values -both Xo and XQ -agree well with experimental values.…”

Section: J'o (23)supporting

confidence: 55%

Cranking Calculation in the sdg Interacting Boson Model

Wang¹

1998

Commun. Theor. Phys.

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A self-consistent cranking calculation of the intrinsic states of the sdg interacting boson model is performed. The formulae of the moment of inertia are given in a general sdg IBM multipole Hamiltonian with one- and two-body terms. In the quadrupole interaction, the intrinsic states, the quadrupole and hexadecapole deformation and the moment of inertia are investigated in the large N limit. Using a simple Hamiltonian, the results of numerical calculations for and satisfactorily reproduce the experimental data.

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Section: J'o (23)supporting

confidence: 55%

Cranking Calculation in the sdg Interacting Boson Model

Wang¹

1998

Commun. Theor. Phys.

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“…None of the works mentioned above had any success in obtaining agreement between theory and experiment. To this data, the best agreement has been attained in the work of Mishra and Mantri [14] using the interacting boson model (IBM). However, it is noticeable that excessive parametrization of the Hamiltonian of the IBM causes this result.…”

Section: Introductionmentioning

confidence: 63%

A special type of neutron-proton pairing interaction and the moments of inertia of some deformed even-even nuclei in the rare earth region

Meftunoglu

Gerçeklioğlu

Erbil

et al. 1998

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

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In this work, the effect of a special type of neutron-proton pairing interaction on the moments of inertia of some deformed nuclei in the rare earth region is investigated. First, making a perturbative approximation, we assume that the form of the equations of the BCS theory and usual Bogolyubov transformations are unchanged. Second, we use a phenomenological method for the strength of this neutron-proton pairing interaction introducing a parameter. Calculations show that this interaction is important for the ground-state moments of inertia and that it could be effectual in other nuclear phenomena.

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“…But, for "ordinary" nuclei, it is well known that there exists a discrepancy of the order of 10-40% between the theoretical BCS values and the experimental ones [7]. In order to reduce this discrepancy several works have been performed [8][9][10][11][12][13][14]. However, these works deal with "ordinary" nuclei and do not include the n-p pairing correlations.…”

Section: Introductionmentioning

confidence: 99%

Neutron-proton pairing effect on the proton-rich nuclei moment of inertia

Mokhtari

Ami

Fellah

et al. 2007

Nd2007

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Abstract. The neutron-proton (n-p) pairing effect on the nuclear moment of inertia is studied within the BCS approximation in the isovector case. An analytical expression of the moment of inertia is established by means of the cranking model. This expression generalizes the usual BCS one (i.e. when only the pairing between likeparticles is considered). The moment of inertia of N = Z even-even nuclei, for which experimental values are known, i.e., such as 32 ≤ A ≤ 80, has been numerically evaluated, with and without inclusion of the n-p pairing effect. The used single-particle and eigen-states are those of a deformed Woods-Saxon mean field. It turns out that the inclusion of the n-p pairing improves the obtained values when compared to the usual BCS approximation, since the average discrepancies with the experimental data are respectively 7% and 37%.

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Moment of inertia in the interacting boson model

Cited by 3 publications

References 14 publications

Cranking Calculation in the sdg Interacting Boson Model

Cranking Calculation in the sdg Interacting Boson Model

A special type of neutron-proton pairing interaction and the moments of inertia of some deformed even-even nuclei in the rare earth region

Neutron-proton pairing effect on the proton-rich nuclei moment of inertia

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