An analysis of odd-mass rare-earth nuclei using angular momentum projection

Hara, Kenji; Iwasaki, S.

doi:10.1016/0375-9474(84)90199-4

Cited by 24 publications

(14 citation statements)

References 12 publications

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“…However, the following essential difference should be noticed. The decoupting effects exists only in a K= 1/2 1-qp band in the particle-rotor model while it extends beyond K= 1/2 (decreasing rapidly with increasing K) in our theory [5]. There is no decoupling effect in the particle-rotor model for a 2-qp band because the expectation value of the Coriolis interaction vanishes always.…”

Section: Discussionmentioning

confidence: 61%

“…One can, however, recover them with the help of the projection technique. A very efficient algorithm for recovering violated symmetries was proposed by one of the present authors [3] a decade ago and has been applied successfully to the analysis of rotational spectra of various rare-earth nuclei [4,5]. In the present work, we investigate doubly even and doubly odd nuclei using a common hamiltonian for both systems.…”

Section: Developed Bymentioning

confidence: 96%

“…The hamiltonian employed in the present work is the same as the one used in our earlier works [3][4][5].…”

Section: Summary Of the Theorymentioning

confidence: 97%

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On the mechanism of backbending and signature inversion

Hara

Sun

1991

Z. Physik A - Hadrons and Nuclei

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Fully quantum mechanical calculations are carried out for both doubly even and doubly odd nuclei in the rareearth region using the angular momentum projection method. We investigate the mechanisms of backbending in doubly even nuclei and signature inversion in doubly odd nuclei using a common hamiltonian for both types of nuclei and show that these two seemingly different phenomena are due to the crossing of decoupled bands. Agreement between theory and experiment is quite satisfactory.

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Section: Discussionmentioning

confidence: 61%

Section: Developed Bymentioning

confidence: 96%

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On the mechanism of backbending and signature inversion

Hara

Sun

1991

Z. Physik A - Hadrons and Nuclei

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“…2 ),3) The method has been successfully applied to the backbending phenomena (crossing of zero-quasiparticle (OQP) and 2QP bands) in doublyeven mass rare-earth nuclei 4 ) as well as to the Coriolis attenuation phenomena (crossing of IQP bands) in the odd-mass rare-earth nuclei. 3 ), 5) Detailed description of the calculation method is seen in these references.…”

Section: Saburo Iwasakimentioning

confidence: 99%

Crossing of Rotational Bands in Even-Mass Tin Isotopes

Iwasaki

1988

Progress of Theoretical Physics

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An angular momentum projection method is applied to the rotational states of even-mass tin isotopes. It is found that the alignment of two neutrons in hlll2 orbit explains the recently observed discontinuity in the moment of inertia of the rotational band in 112Sn.Rotational bands built on deformed excited states have been observed in tin isotopes, though they have been limited to rather low spins (I~10). A recent experiment has shown that there exist higher spin levels in the bands in lighter tin isotopes. I) Since the higher spin states have clearly larger moment of inertia than the previously known lower spin states, their intrinsic structure must be different from that of the lower spin members. Similar discontinuities in the moment of inertia are widely observed in the yrast bands of rare-earth nuclei, where detailed studies have been done both experimentally and theoretically. Few theoretical calculations, however, have been reported so far on the band crossings in tin isotopes. Since the ground states of tin isotopes are spherical, we do not have, contrary to the case of rare-earth nuclei, much information on the mean fields for the deformed bands. Therefore, theoretical calculations for tin isotopes may not be so straightforward as for the rare-earth nuclei. In other words, we can test theoretical models more seriously by applying them to the band crossings in tin isotopes.In the present paper we investigate these rotational bands of tin isotopes using an angular momentum projection method which is suited for the description of band crossing phenomena. 2 ),3) The method has been successfully applied to the backbending phenomena (crossing of zero-quasiparticle (OQP) and 2QP bands) in doublyeven mass rare-earth nuclei 4 ) as well as to the Coriolis attenuation phenomena (crossing of IQP bands) in the odd-mass rare-earth nuclei. 3 ),5) Detailed description of the calculation method is seen in these references.The Hamiltonian employed in the present calculations is the same as the one which we used in the previous works,3)-5) (1) where fi is the spherical single-particle Hamiltonian with the Nilsson [. sand [2 parameters, KlI=0.066, ,u1l=0.35. 6 ) For the pairing force strengths we take the values determined in Ref. 6), Gn-=/·22.5/A MeV, GlI=/·(22.5 -18.0·(N-Z)/A)/AMeV, with a reduction factor /=0.87. The reduction factor is introduced because our single particle spaces (3-major shells both for protons and neutrons) are larger than theirs. Since we assume the same deformation for protons and neutrons, we take the isoscalar Q. Q force whose strength is X=233A -5/3b-4 MeV, at University of Ulster at Coleraine on March 11, 2015 http://ptp.oxfordjournals.org/ Downloaded from

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“…Beyond that there are several possibilities: One can study somewhat heavier nuclei with Monte Carlo calculations [4] that utilize the entire valence shell-model space. One can also reduce the dimensionality of the Hamiltonian matrices to tractable sizes in several ways, either by utilizing only the lowest irreducible representations of relevant approximate symmetries [5,6] or by applying the variation-Al method to a trial space suggested by the deformed shell model [7,8]. Except for the first example cited [5], these latter methods allow one to break the bounds of the valence shell restriction.…”

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confidence: 99%

Application of the Kerman-Klein Method to the Solution of a Spherical Shell Model for a Deformed Rare-Earth Nucleus

Protopapas

Klein

1997

Phys. Rev. Lett.

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Core-particle coupling models are made viable by assuming that core properties such as matrix elements of multipole and pairing operators and excitation spectra are known independently. From the completeness relation, it is seen, however, that these quantities are themselves algebraic functions of the calculated core-particle amplitudes. For the deformed rare-earth nucleus 158 Gd, we find that these sum rules are well-satisfied for the ground state band, implying that we have found a self-consistent solution of the non-linear Kerman-Klein equations.

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An analysis of odd-mass rare-earth nuclei using angular momentum projection

Cited by 24 publications

References 12 publications

On the mechanism of backbending and signature inversion

On the mechanism of backbending and signature inversion

Crossing of Rotational Bands in Even-Mass Tin Isotopes

Application of the Kerman-Klein Method to the Solution of a Spherical Shell Model for a Deformed Rare-Earth Nucleus

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