Collectivity in neutron-deficient Pb and Po nuclei

Lifetimes of low-lying yrast states in ¹⁸⁶Pb and ¹⁹⁴Po have been determined by employing, for the first time, the recoil-decay tagging technique in recoil distance Doppler-shift lifetime measurements. In addition, lifetime measurements of prolate states in ¹⁸⁸Pb up to the 8⁺ state were carried out using the recoil gating method. The deformation parameters and for the prolate (^186,188Pb) and the oblate (¹⁹⁴Po) bands, respectively, have been extracted from the measured lifetimes. 27.70.+q–     

188Pb形变和形状共存的研究

用角动量投影壳模型研究了188Pb核素的形状共存. 实验数据经过计算结果的分析,指出188Pb的低能激发态存在着对应于不同内部粒子组态的球形基态、扁椭球和长椭球三种形状的共存;预言了质子h9/2两粒子-两空穴扁椭球带;指出长椭球带是两种多粒子-空穴激发组态的混杂,并导出了混合系数. 由这些系数,可以说明中子i13/2破对引起的顺排对长椭球带的影响是一个渐进过程;并指出了2+态的能量范围在804-880keV.     

Study on Deformation and Shape Coexistence for 188Pb

The deformation and shape coexistence in ¹⁸⁸Pb have been investigated in terms of the Projected Shell Model. Comparing the experimental data with the calculated results, it is shown that three shape configurations of sphere (Z=82 shell closure), oblate (two particle-two hole in proton h_9/2 orbital) and prolate (multi-particle-hole)coexist each other in the low-lying excited states and the prolate band exhibits a mixture between two kinds of multi-particle-hole configurations, which means that the neutron i_13/2 alignment happens gradually in this case. The mixing is discussed and the mixing coefficients are given. The oblate band structure is predicted and the 2⁺ prolate state is estimated to be in the energy range of 804—80keV.     

78Kr高自旋态的形状共存

用熔合蒸发反应 58Ni(2 3Na,3p) (Ein=70 Me V)和 58Ni(2 8Si,α4p) (Ein=1 30 Me V)研究了78Kr的高自旋态 ,用美国劳伦斯伯克利国家实验室的γ球测量了实验中产生的瞬时符合事件,对新发现的一个负宇称带用多普勒位移衰减法对 1 0 0 4 ke V(1 0 -→ 8-)和 873ke V(8-→ 6-)作了多普勒展宽谱线形状测量 .得到了负宇称带 1 0 -态能级的寿命τ=(2 .2± 0 .3) ps,8-态能级的寿命τ=(1 .6± 0 .2 ) ps.故可知此负宇称带呈现长椭形变 ,与正宇称带的扁椭形变形状共存. Doppler shift attenuation lifetime measurements were performed in the 58 Ni( 23 Na,3p) reaction at 70 MeV and 58 Ni( 28 Si, α4p) reaction at 130 MeV. By analyzing the Doppler broadened line shapes of the 1 004 keV(10 -→8 -) negative parity transition in coincidence with depopulating transitions, the lifetime of the 10 - state has been deduced as τ =(2.2±0.3) ps. A similar analysis of 873 keV(8 -→6 -)transition gave values of τ =(1.6±0.2)...     

Unveiling the origin of shape coexistence in lead isotopes

Shape coexistence in the nuclei (182-192)Pb is analyzed with the Hartree-Fock-Bogoliubov approach and the Gogny force. Good agreement with the experimental energies is found for the coexisting spherical, oblate, and prolate states. Contrary to the established interpretation, it is found that the low-lying prolate and oblate 0+ states are predominantly characterized by neutron correlations whereas the protons behave, in general, rather as spectators than playing an active role.     

Se同位素的形状共存

基于形变Woods Saxon势下的推转壳模型对Se同位素进行Total Routhian Surface (TRS) 计算。 结果表明, 原子核的形状随中子数变化很明显。 对66,72, 92, 94Se 基态TRS图进行分析, 发现缺中子同位素和中子滴线附近核素均存在扁椭球和长椭球的形状共存。 分别对72Se和94Se进行推转计算,长椭球和扁椭球形状在低推转频率下共存, 由于g9/2闯入轨道的影响, 随着推转频率的增加,扁椭球形变逐渐消失,长椭球形变带成为转晕带。 Nuclear shape change and shape coexistence in the Selenium isotopes have been investigated by Total Routhian Surface(TRS) calculations. It is found that nuclear shapes vary significantly with increasing neutron number. The TRS calculations for the ground states of 66, 72, 92, 94Se isotopes show that both neutron deficient and neutron dripline Selenium isotopes have oblate and prolate shape coexistence. The cranking shell model calculations for 72, 94Se give that prolate and oblate shape coexistence in low rotational frequency. However, oblate rotational bands disappear and prolate rotational bands become yrast bands with increasing rotational frequency, which is due to the intrusion of the g9/2 orbitals.     

Os-Pt区核的基态三轴形状

在偶-偶核基态中寻找稳定的三轴形状,其中最大三轴形变为|γ|≈30°,仍然是核结构的一个主要主题。在本工作中,使用推转Woods-Saxon(WS)壳模型来研究Os-Pt区基态和集体转动态中可能的三轴形状。为寻找核态可能存在的三轴形变,具体用对力-形变-转动频率自洽推转壳模型对偶-偶^176-202Os和^182-204Pt同位素进行了总Routhian面计算。计算是在四极形变(β₂,γ)网格中进行的,而十六极形变β₄可变。事实上,在四极形变(β₂,γ)的每个网格点上,计算的能量相对于十六极形变β₄最小化。发现某些核的基态譬如¹⁹⁶Os和^188-194Pt既非扁椭球亦非长椭球,而是在这些核中基态极小值是形状非轴对称的,即三轴形变。同时,我们把从实验数据提取出的转动惯量与我们的计算结果作比较,显示实验数据不能很好地与转动假定相一致,说明有振动行为。此外,我们使用一种辅助的方法提取了平衡γ₀值,该值...     

Shape coexistence and intruder states: theZ=82 region

The phenomena associated with shape coexistence and intruder states are illustrated with examples from the Pt, Au, Hg, Tλ, Pb and Bi isotopes which lie far from beta stability midway between closed neutron shells 82 and 126. The type of spectroscopic measurements which have already been developed to investigate these structures as well as those types of measurements needed to extend and quantify the analysis, such as on-line nuclear orientation, are discussed.     

丰中子A~100质量区内的扁椭球高K同核异能态

远离核素图上“稳定谷”的丰中子核一直是核物理学研究的热点。作为形变丰中子核的一种特殊的亚稳定激发态,高K同核异能态的形状大多数为长椭球,扁椭球的高K同核异能态非常少见。近期的一项实验认为丰中子核94Se上的$ {K}^{\mathrm{\pi }}={7}^{-} $两准粒子态为扁椭球。这是形变原子核上存在扁椭球高K同核异能态的第一个实验证据。结合相关实验,我们猜测可能有其它尚未发现的扁椭球高K同核异能态存在于丰中子A~100质量区。利用组态限制势能面计算方法,本文对丰中子A~100质量区内的$ {K}^{\mathrm{\pi }}={9}^{-} $和$ {K}^{\mathrm{\pi }}={7}^{-} $两准粒子态进行了研究,并预言了此质量区内扁椭球高K同核异能态的可能位置。根据Nilsson模型,扁椭球高K同核异能态的存在与费米能级附近的高Ω单粒子轨道有关。这些高Ω单粒子轨道来源于高j闯入态在扁椭球形变时的退简并。扁椭球高K同核异能态是研究丰中子核形变参数、激发能等物理性质的理想对象,有助于加深我们对于形变原子核能级结构的理解。     

Evidence for collective oblate rotation in N = Z 68Se

A gamma-ray spectroscopic measurement of the N = Z nucleus 68Se has been made following the 12C(58Ni,2n) reaction at 185 and 220 MeV using Gammasphere and the Argonne Fragment Mass Analyzer. Despite a very low production cross section of 200(50) &mgr;b, two distinct rotational bands were found; the ground state band consistent with oblate collective rotation, and an excited band consistent with prolate rotation. These observations support long-standing predictions that nuclear ground states with substantial oblate (beta(2) approximately -0.3) deformation should exist in this region.     

Evidence for shape coexistence in186Pt

High-spin states in¹⁸⁶Pt have been populated by the¹⁸⁸Os (α, 6n) reaction and were investigated with the OSIRIS spectrometer. A shape coexistence at high spins was established in the nucleus¹⁸⁶Pt, which lies on the border between light prolate and heavy oblate Pt nuclei. Two bands corresponding to predominantly prolate shapes and one band of predominantly oblate shape have been observed. For prolate shapes a (π h _9/2)² alignment and for oblate shapesa (vi _13/2)² alignment has been found.     

Investigation of the HFS in the 4d 5p zP3,4 states of Mo and Mo by levelcrossing spectroscopy

The hyperfine structures of the z⁷P₃ and z⁷P₄ states of ⁹⁵Mo and ⁹⁷Mo have been investigated by levelcrossing spectroscopy. A fit of the experimental signal curves yields the magnetic and electric hfs coupling constants: ⁹⁵Mo z⁷P₃ |A| = 86.19(10) MHz, |B|=5.2(30) MHz, A/B0⁹⁵Mo z⁷P₄ |A|=64.05(30) MHz, |B|=4.3(30) MHz, A/B<0; ⁹⁷Mo z⁷P₃|A|= 88.0(1) MHz, |B|=60.0(20) MHz, A/B<0; ⁹⁷Mo z⁷P₄ |A|=65.4(3) MHz, |B|=50.0(50) MHz, A/B0. For the ratio of the electric quadrupole moments we fine ⁹⁷Q/⁹⁵ Q= -11.5(70).     

Relative population of the oblate and prolate structures in187Au

The population of the oblate and the prolate structures in¹⁸⁷Au has been studied using the “Château de Cristal” set-up through the¹⁷²Yb(¹⁹F, 4n) reaction at 90, 95 and 100 MeV beam energy. γ — γ, γ-Fold and γ -Sum energy coincidence measurements were performed, γ-ray intensity measurements showed that as the beam energy increases the prolate system is less populated than the oblate one. Fold and Sum-energy associated with oblate and prolate structures showed a different behaviour with increasing beam energy. Two mechanisms are suggested to explain these results.     

Shape coexistence in187Hg

Excited states of¹⁸⁷Hg have been investigated via the¹⁶⁴Dy (²⁸Si,5n) reaction by means of in- beam gamma-ray spectroscopy using the multidetector 4π away “Ckāteau de. Cristal”. Different bands were populated up to spin I- 45/2. Coexistence of both prolate and oblate structures is observed for the first time in an odd- A Hg isotope. The crossing of aligned and strongly coupled sequences of levels built on the vi13/2 orbital infers the near degeneracy of oblate and prolate structures in¹⁸⁷Hg.     

Lifetime measurement in 74Kr and 76Kr

Lifetimes of excited states in the ground-state bands of ⁷⁴Kr and ⁷⁶Kr were measured using the recoil-distance Doppler-shift and the differential decay curve methods. The states were populated in the ⁴⁰Ca(⁴⁰Ca, α2p) and ⁴⁰Ca(⁴⁰Ca, 4p) reactions. Gamma rays were detected with the GASP array which was coupled to the Cologne Plunger device. The results resolve discrepancies between earlier lifetime measurements and a recent Coulomb excitation experiment. Experimental transition rates are compared to theoretical calculations. The results support a strong mixing between prolate and oblate configurations for the low-spin states, and represent an important basis for the interpretation and understanding of the shape coexistence phenomenon in this mass region.     

Shape coexistence and evolution in neutron-def icient krypton isotopes

Total Routhian Surface(TRS) calculations have been performed to investigate shape coexistence and evolution in neutron-deficient krypton isotopes72,74,76 Kr. The ground-state shape is found to change from oblate in72 Kr to prolate in74,76 Kr, in agreement with experimental data. Quadrupole deformations of the ground states and coexisting 0+2states as well as excitation energies of the latter are also well reproduced. While the general agreement between calculated moments of inertia and those deduced from observed spectra confirms the prolate nature of the low-lying yrast states of all three isotopes(except the ground state of72Kr), the deviation at low spins suggests significant shape mixing. The role of triaxiality in describing shape coexistence and evolution in these nuclei is finally discussed.     

Study of the Superdeformed State of 196Pb in the Relativistic Mean Field Theory

Based on the constrained relativistic mean field (RMF) theory, the superdeformed states of ¹⁹⁶Pb are systematically investigated with four different interactions, TMA, PK1, NL3 and NL-SH. The potential surface, the quadruple deformation of ground and superdeformed states, and the excitation energies of superdeformed states are calculated. The results show that the shape of ¹⁹⁶Pb is oblate for the ground state with deformation β₂≈－0.15, and prolate for the superdeformed states with deformation β₂≈0.60. The calculated excitation energy and the depth of the potential well of the superdeformed state are approximately equal to 4.5MeV and 1.6MeV, respectively. These results are in good agreement with the current experimental data. It indicates that RMF theory can well describe the energy of the band head of superdeformed rotational band in ¹⁹⁶Pb.     

Shape coexistence in the odd-odd 186Au nucleus

Low-spin states of ¹⁸⁶Au have been studied from the β⁺/EC decay of ¹⁸⁶Hg using the ISOCELE facility. Precise conversion-electron measurements were performed with a semicircular magnetic spectrograph. The ¹⁸⁶Au level scheme has been established with spin and parity assignments deduced from transition multipolarities and log $\text{?t}$ values. It shows two separate groups of levels which could be interpreted as due to shape coexistence: prolate deformation for the first low-lying states, and oblate deformation for the 251.5 keV (2^?) and 363.6 keV (1 ⁺) states.     

On the Difference of High Spin Band Structure Between I and Ce Isotopes

It has been predicted that in nuclei with Z=52－56,there are many low-lying oblate and prolate rotational bands.Experimental investigation has been carrying out for the high spin band structure in serial I and Ce isotopes recently.It is found along with the prolate bands,there do exist oblate bands for proton h_11/2,g_7/2 and d_5/2,configurations in I.The band termination (non-collective oblate shape) was found in ^119,121I as well.All the prolate band structure was found in Ce.Further theoretical calculation was done with newly fitted Nilsson κ and μ parameters.Results show that the absolute values of shell energy and self-consistent pairing energy for oblate shape are always lager for I than for Ce.Besides,the band head oblateprolate energy difference is much in favor of oblate shape for I than for Ce.All these results are related to the existence of an oblate 54 gap in proton single particle diagram.     

Spectroscopy of Low-lying States in Odd-Z Odd-A Nuclei Beyond Lead

Low-lying states in odd-Z odd-mass nuclei at the proton drip-line beyond lead have recently been studied through fusion-evaporation reactions using a gas-filled recoil separator. Isomeric 1/2+ and 13/2+ states have been observed in odd-mass astatine and francium nuclei. The systematic behaviour of the level energies of these states have been studied and a similarity between the 1/2+ state in astatine and francium has been found. Furthermore, the 13/2+ state has been observed in the francium nuclei with an oblate behaviour suggesting a coupling of the i_13/2 proton to the 2p-2h intruder excitation.