Centrifugal stretching of nuclei

Diamond, R. M.; Stephens, F. S.; Świa̧tecki, W.J.

doi:10.1016/0031-9163(64)90345-2

Cited by 105 publications

(16 citation statements)

References 7 publications

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“…In a previous paper [18] we have shown that this model of superfluid liquid with triplet Cooper pairing in case of strong spin-orbit coupling gives, for some superfluid phases, the same rotational spectra of nuclei as a cranking * Permanent address: Lebedev Physical Institute, 117924 Moscow, Russia ** Laboratoire mixte IN2P3-CNILS/UJFG model [19], and/or the model of variable moment of inertia (VMI) [20]. The equivalence of two latter models was proven earlier in [21].…”

Section: Introductionmentioning

confidence: 97%

Model of superfluid liquid with triplet pairing, cranking model and model of variable moment of inertia in superdeformed bands inA?190 region

Piepenbring¹,

Протасов²

1993

Z. Physik A - Hadrons and Nuclei

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Abstract. The triplet pairing model, which has been shown, in some cases, to be equivalent to the cranking and/or variable moment of inertia models, is used to describe the superdeformed bands in AN 190 region. The two-parameter expression for the 7-transition energies E~(I), common to these three models, allows a good description of experimental data and an unambiguous spin assignment for the states of these superdeformed bands.

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Section: Introductionmentioning

confidence: 97%

Model of superfluid liquid with triplet pairing, cranking model and model of variable moment of inertia in superdeformed bands inA?190 region

Piepenbring¹,

Протасов²

1993

Z. Physik A - Hadrons and Nuclei

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“…These experimental ~ values were taken from Nemirovsky and Adamchuk.l3 (11) For rough estimates of the CAP effect the potential energy of Eq. (10) could be approximated by the harmonic form …”

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confidence: 99%

Exponential dependence of the nuclear moment of inertia on pairing correlation and the pairing stretch model for nuclear rotation

Chin

Rasmussen

1974

Phys. Rev. C

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“…Thus, for an asymmetric nonrigid rotator, the vorticity constant c depends on both P and y. However, for the axially symmetric case (y = 0) it depends only on P and the dependence has already been shown to be (Prakash et al 1972) Calculations have been done for the rotational states belonging to the first excited P-vibrational band (K = 0) taking into account the potential energy due to centrifugal stretching (Diamond et al 1964) phenomenologically together with the kinetic energy obtained from eq. 12 with c given by eq.…”

Section: Asynmetric Dropmentioning

confidence: 99%

A Rotational Flow Model for Spectra of Deformed Nuclei in the Rare-Earth Region

Prakash¹,

Deshpande²

1973

Can. J. Phys.

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The rotational flow model with a simple flow in two dimensions already proposed by Prakash 01 (11. has been extended to include flowsin three dimensions with aconstant vorticity. The kinetic energy of rotations and the form of Hamiltonian thus obtained compares closely with that of the rigid rotator, but gives different expressions for the principal moments of inertia for a deformed nucleus. The Hamiltonian is quantized in the angular momentum representation. The eigenfunctions are the familiarD functions. The vorticity constant for a nonaxially symmetric nucleus is found to depend both on the deformation parameter P and the asymmetry parameter y. However, for spherical nuclei the flow becomes irrotational and thus accounts for the absence of rotational spectra in such nuclei.Taking into account the potential energy due to centrifugal stretching phenomenologically, calculations have been done for rotational levels belonging to the first excited P-vibrational band. The results are in good agreement with the experiment for nuclei in the middle of the region IS0 < A < 190. The model presented here s~~ccessfully reproduces the results reported earlier.Le modele d'ecoulement rotationnel simple en deux dimensions dejh propose par Prakash c,t (11. a kt6 developpe d e f a~o n h inclul-e ies Ccoulements tridimensionnels h vorticite constante. L'energie cinetique des rotations et la forme d e I'hamiltonien obtenu se comparent avec ceux du rotor rigide mais donnent des expressions differentes pour les moments d'inertie principaux d'un noyau dtformC. L'hamiltonien est quantifie dans la representation du moment cinetique. Les fonctions propres sont les fonctions D habit~~elles. On trouve que la constante d e vorticite pour un noyau sans symetrie axiale depend a la fois du paramttre d e deformation P et du parametre d'assymetrie y. Toutefois, pour les noyaux spheriques, I'ecoulement devient irrotationnel, c e qui correspond h I'absence des spectres rotationnels dans de tels noyaux.En tenant compte phCnomenologiquement d e I'energie potentielle due a la dtformation centrifuge, on a Fait des calculs pour des niveaux rotationneis appartenant B la premitre bande vibrationnelle P. Les rtsultats sont en bon accord avec I'exptrience pourles noyaux situes dans la region centrale 150

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Centrifugal stretching of nuclei

Cited by 105 publications

References 7 publications

Model of superfluid liquid with triplet pairing, cranking model and model of variable moment of inertia in superdeformed bands inA?190 region

Model of superfluid liquid with triplet pairing, cranking model and model of variable moment of inertia in superdeformed bands inA?190 region

Exponential dependence of the nuclear moment of inertia on pairing correlation and the pairing stretch model for nuclear rotation

A Rotational Flow Model for Spectra of Deformed Nuclei in the Rare-Earth Region

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