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Ronningen, R. M.; Hamilton, J. H.; Varnell, L.; Lange, J.; Ramayya, A. V.; García-Bermúdez, G.; Lourens, W.; Riedinger, L. L.; McGowan, F.K.; Stelson, P.H.; Robinson, R.L.; Ford, James L.

doi:10.1103/physrevc.16.2208

Cited by 54 publications

(9 citation statements)

References 33 publications

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“…Consequently in our model all N=88 nuclei are almost spherical while it is not confirmed by experiment. The quadrupote moments differ by a few percent from the experimental data [11,12,13] similarly as in Ref. 2 or 10.…”

Section: (Rz)s-2n-~-(f2)zn--(rz)zn-2 For All Investigatementioning

confidence: 65%

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Deformation energies of rare-earth nuclei in generator coordinate method

Nerlo-Pomorska

1987

Z. Physik A - Atomic Nuclei

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The deformations of rare-earth nuclei for the mean field Nilsson hamiltonian with the local approximation of the two-body interaction are estimated. The collective hamiltonian is obtained within the generator coordinate method and the gaussian overlap approximation. The zero-point correction to the collective potential energy is included. The deformation energies of nuclei are up to 1 MeV larger than those for the mean field potential. The multipole moments are in usual agreement to the experimental data.

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Section: (Rz)s-2n-~-(f2)zn--(rz)zn-2 For All Investigatementioning

confidence: 65%

“…2 or 10. Also the hexadecapole moments are not much closer to experiment then in the previous estimates [2], but on the other hand the experimental data [12,13] have still the very big experimental errors in this region. One observed specially large theoretical Q4 for N = 92 isotons in the whole region.…”

Section: (Rz)s-2n-~-(f2)zn--(rz)zn-2 For All Investigatementioning

confidence: 68%

Deformation energies of rare-earth nuclei in generator coordinate method

Nerlo-Pomorska

1987

Z. Physik A - Atomic Nuclei

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“…Here ~I is the transition probability of the state II > to the yrast state II-2> and S I describes the relative number of side cascades which arrive at the state [I> up to time t. The side feeding time TSE(t) can be defined if the quantity i -SI(t)/SI(~ ) ~ exp[-t/zSF(I)], (4) decays exponentially. Even when that is not the case, we can define an indication for the side feeding time by the condition: From data using simple y-transition energy calculations they concluded that the entry line is parallel to the yrast line at a distance of about 6 MeV.…”

Section: (C) Side Feeding Timesmentioning

confidence: 99%

Side feeding times to yrast states of158Dy in26Mg(136Xe, 4n)158Dy

Wakai

Faessler

1981

Z Physik A

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Side feeding times to the yrast states of 158Dy were analyzed and compared with Monte Carlo calculations. It is found that B(E2) value in pre-yrast stretched E2 transitions are about 80% of the rigid rotor prediction. Average multiplicities and corresponding transition energies are also calculated and compared with the experimental data.The experimental information about very high spin states comes mainly from HI(HI', XN)HI" fusion reactions. The y-ray from the entry state of the final nucleus contains two different types of y-transitions, the statistical and the collective ones. The competition between statistical and collective transitions plays a very important role for the understanding of the continuum y-ray spectrum [1,2].Previously [2], we analyzed the y-rays emitted after the reaction 26Mg(]36Xe, 4n) 158Dy, with a bombarding energy of Elab=4.1MeV/A [3]. The most interesting feature of the y-ray spectrum of this reaction is the two-bump structure observed in the side feeding pattern. This feature can be understood by the competition between collective and statistical y-rays. (But we also indicated that also structural effects originating from the backbending phenomenon may contribute).Recently, Emling et al. [3] published the experimental data of side feeding times to the yrast states of 158Dy after the reaction mentioned above. In this work they deduced from their data not only the B(E2) of the yrast transitions but also the pre-yrast ones. For these they found 50 ~ 90% reduction using a simple model.The purpose of the present letter is to present the results of theoretical calculations for side feeding times and of investigations on the reduction of the pre-yrast B(E2) value. Details of the theoretical method are already presented in ref.[2] and only summary is given here:(a) Entry states: The theoretical distribution of the entry states after a fusion reaction can be obtained by the model for compound reactions. For the above reaction the result is presented in ref. [2]. Emission of protons, neutrons and ~ particles was considered in the calculation. Dipole-radiation is also taken into account. (b) T-decay from the entry states:The probability of emitting statistical y-rays is given by § = 0yE X+2E CEfJf )/a EiJi )IdEy CI)where A is the multiplicity of the radiation and Q(EJ ~) is the level density for levels with the excitation energy E, the angular momentum J and the parity [. The expression of the level density is the same so that adopted in ref. [2]. For the transitions we take into account statistical El, M1 and E2 and collective E2-transitions. The strengths C 1 were chosen as follows: Absolute values of C l can be guessed by fitting the side feeding times, as seen later. (c) Side feeding times:The time development of the probability p~~ (t)" that a nucleus is found to be in a yrast state II > is given by solving the master equation.Here ~I is the transition probability of the state II > to the yrast state II-2> and S I describes the relative number of side cascades which arrive at the s...

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“…It seems that it is also worthwhile investigating the rare earth region in the same manner because of the recent experimental information about such nuclei. The Coulomb excitation measurements at Oak Ridge [12][13][14] predict the possibility of large negative hexadecapole moments of 18~ The hexadecapole moments of Os isotopes obtained in [15] are also negative. Previous theoretical results have given no possibility of such values.…”

Section: Introductionmentioning

confidence: 94%

Microscopic quadrupole and hexadecapole moments of rare earth nuclei

Nerlo-Pomorska

1979

Z Physik A

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The theoretical calculations of multipole moments of even-even rare earth nuclei are presented. The potential energy surface is evaluated by the shell correction method. The condition ensuring the equality of the density distribution of the macroscopic liquid droplet part of the potential energy and the density generated by the single particle potential is added. A single particle Nilsson potential is used. New, less stiff potential surfaces versus e~ are obtained while the multipole moments calculated at the equilibrium deformations agree well with experimental data.

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E2andE4reduced matrix elements ofGd1

Cited by 54 publications

References 33 publications

Deformation energies of rare-earth nuclei in generator coordinate method

Deformation energies of rare-earth nuclei in generator coordinate method

Side feeding times to yrast states of158Dy in26Mg(136Xe, 4n)158Dy

Microscopic quadrupole and hexadecapole moments of rare earth nuclei

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