Studies of low-lying states of even-even Xe isotopes within the nucleon pair approximation

We study the relevance of nucleon pairs with higher spins, in addition to spin-zero and spin-two pairs (i.e., SD pairs), in low-lying states of even-even Xe nuclei. By including those higher-spin pairs in our configuration, we recalculate energy level schemes, electrical quadrupole moments, magnetic moments and electric quadrupole transition rates, for low-lying states of even-even ^128–142Xe nuclei. The agreement between our calculated results and the experimental data is substantially improved in comparison with previous studies.     

A calculation of low-lying collective states in even-even nuclei

We present results of a calculation of the low-lying collective quadrupole states in even-even nuclei within the framework of the proton-neutron interacting boson model.     

A study of configuration mixing in vibrational nuclei

The configuration-mixed wave functions for one-phonon and two-phonon 2⁺ states have been obtained from the experimental energy spectra of the even-even vibrational nuclei. The reduced transition probabilities and electric quadrupole moments have been calculated.     

The low-energy level structure and the electromagnetic properties of191Ir and193Ir

TheM 1 andE 2 reduced transition probabilities in¹⁹¹Ir and¹⁹⁹Ir have been calculated on the weak particle-core coupling model. The static moments of the ground state and the first three low-lying excited states have been computed. The theoretical values are in good agreement with the experimental results, in particular, the existing discrepancy between the theoretical and the experimental value for the magnetic moment of the first excited 5/2⁺ state, in both these nuclei, has been removed. The predicted sign of the quadrupole moment of the 2⁺ state in the neighbouring even-even nuclei is consistent with the results reported for Platinum nuclei. The level structure of both these nuclei has been calculated assuming the particle-core interaction to be dipole-dipole and quadrupole-quadrupole type.     

A shell-model description of 0+ intruder states in even-even nuclei

Starting from the nuclear shell structure in medium-heavy and heavy nuclei, the excitation energy for low-lying 0⁺ intruder states is studied. Taking as a simplified model two particle-two hole (2p-2h) excitations across closed shells, the effects of the pairing and the proton-neutron (monopole and quadrupole component) residual interaction on the unperturbed energies are calculated. Application to major closed-shell (fZ = 50, Z = 82) and to subshell (Z = 40, Z = 64) regions is performed. We especially concentrate on 0⁺ intruder states in the even-even Pb nuclei.     

Non-yrast states and shape co-existence in light Pt isotopes

Low-lying states in the even-even light platinum isotopes ¹⁷⁶Pt, ¹⁷⁸Pt, ¹⁸⁰Pt and ¹⁸²Pt have been populated using β⁺ /EC decay from parent gold nuclei, created in (HI,xn) reactions. State energies, spins and parities and γ-ray branching ratios were determined using γ-ray and electron spectroscopy. Whereas non-yrast states were observed in ¹⁷⁸Pt, ¹⁸⁰Pt and ¹⁸²Pt, none were seen in ¹⁷⁶Pt. The excitation energies of the observed states are analysed in terms of a band-mixing model, yielding the moments of inertia of the unperturbed bands. Branching ratios and ground-state-band quadrupole moments are calculated and compared with experimental values. The results indicate that the two lowest-lying 0⁺ states in each of the light Pt isotopes are formed from the mixing of two intrinsic states of different deformation, and other low-lying states can be described as admixtures of rotational states built on these intrinsic states, and on γ-vibrational states.     

Coexistence of Prolate and Oblate Shapes in ~(98)Sr Nuclei Using IBM2

The properties of the low-lying states and the shape coexistence in Sr are investigated within the framework of the proton-neutron interacting boson model(IBM2).By considering the relative energy of the d proton boson to be different from that of the neutron boson,it is found that the calculated energy levels and the B(E2)transition strengths agree with the experimental data perfectly.Particularly,the second 0~+ state,which is associated with the shape coexistence phenomenon and has the lowest energy E(0_2~+) among all known even-even nuclei,is reproduced very well.The behavior of the calculated quadrupole shape invariants is consistent with the experimental results.     

Alternating-parity collective states of yrast and nonyrast bands in lanthanide and actinide nuclei

Physics of Atomic Nuclei - Excited collective states of even-even nuclei featuring quadrupole and octupole deformations are studied within a nonadiabatic collective model with a Gaussian potential...     

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...     

基于壳模型对力加四极力研究sd和pf壳偶偶原子核

本文在原子核壳模型框架下基于唯象相互作用(对力加四极力)研究sd壳和pf壳的偶偶核低激发集体态。在提取了USDB和GXPF1相互作用的单粒子能量和单极相互作用的基础上,我们用一套统一参数计算重现了球形核和形变核的低激发谱;将对相互作用中的单极成分扣除后可以得到较好的结合能计算结果。同位旋标量的对相互作用对计算结果影响不大。单极相互作用在经验质子—中子相互作用、原子核对称能和Wigner能中产生重要贡献。     

Electromagnetic properties of neutron-rich Ge isotopes

The electric quadrupole moment Q and the magnetic momentp(or the g factor) of low-lying states in even-even nuclei ~(72-80)Ge and odd-mass nuclei ~(75-79) Ge are studied in the framework of the nucleon pair approximation(NPA) of the shell model,assuming the monopole and quadrupole pairing plus quadrupole-quadrupole interaction.HA H.Our calculations reproduce well the experimental values of Q(2_1~+) and g(2_1~+) for ~(72,74,76) Ge,as well as the yrast energy levels of these isotopes.The structure of the 2_1~+ states and the contributions of the proton and neutron components in Q(2_1~+) and g(2_1~+) are discussed in the SD-pair truncated shell-model subspace.The overall trend of Q(2_1~+) and g(2_1~+)as a function of the mass number A,as well as their signs,are found to originate essentially from the proton contribution.The negative value of Q(2_1~+) in ~(72,74)Ge is suggested to be due to the enhanced quadrupole-quadrupole correlation and configuration mixing.     

Microscopic description of static quadrupole moments of 2 1 + states by time-dependent HF equations

Large quadrupole moments of 1-phonon states of sperical nuclei are shown to follow in a simple and direct way from time-dependent HF equations using the self-consistent perturbation expansion. Whereas the first order describes harmonic quadrupole oscillations, anharmonic terms arise in second order. The scattering of quasiparticles by quasi-particle pairs, which is neglected in RPA calculations, but included in this paper, leads to a second order response of the system and is shown to produce a strong enhancement of the quadrupole moments. Explicit results are obtained with a pairing-plus-quadrupole interaction and discussed within a schematic two level model.     

Nuclear structure and nuclear moments studied by the shell model and the interacting boson model

Magnetic dipole and electric quadrupole moments are discussed in terms of the interacting boson model (IBM) and the shell model. From the viewpoint of the IBM, systematic variations of magnetic moments will be discussed by analyzing data of Xe and Ba isotopes. Magnetic and quadrupole moments of various states of Sm and Os isotopes are discussed, pointing out an open problem in the magnetic moments of Os isotopes. The importance of measuring the quadrupole moment of O(6) or -unstable nuclei is emphasized by the example of¹²⁸Xe. The structure of neutron-rich unstable nuclei will be studied in terms of the shell model, by paying attention to the break-down of the closed shell structure, for instance, the collapse ofN=20 closed shell withZN=20. The magnetic moment of the anomalous ground state of¹¹Be is another topic of this discussion, and it is studied in terms of a new theoretical framework called variational shell model.     

Gamma-gamma angular correlation studies in97Tc

The rapid rotation of even-even nuclei is investigated. The characteristic properties of Zn, Mo, Sn, Te, Xe, Ba, Ce and Nd isotopes for high spin are presented. Microscopic calculations are based on the modified oscillator average potential including the quadrupole axial (?) and nonaxial (γ) deformations. The potential energy surfaces of the nuclei are obtained by the shell correction method. The nuclear shape determined by the potential energy surface as a function of angular momentum is predicted.     

Deformation properties of the neutron-deficient odd-A Pt and Hg nuclei

Nuclear and atomic spectroscopy measurements have provided a great number of data on the neutron-deficient Pt and Hg nuclei. The odd-A Pt and Hg with A<186 have a prolate shape, and the even-even isotopes have a triaxial shape, while the nuclear shape of the odd-A Pt and Hg with A>186 is still an open question. The energy of the low-lying levels and the nuclear moments have been calculated in the framework of a semimicroscopic “axial-rotor + 1 quasiparticle” coupling model. The predictions are compared with the experimental data and discussed. The results strongly suggest a prolate shape for the negative-parity low-lying states of the odd-A ^187–191Pt and ^187–193Hg isotopes.     

Charge radii and quadrupole-deformation parameters of high-spin isomers

Experimental data on the differences of charge radii of nuclei in the ground and high-spin isomeric states are surveyed. High-resolution laser-spectroscopy methods were used for measurements. The results obtained for the differences of these radii by two methods—from measurements of isomeric shifts of the levels of atoms containing the nuclei being studied and from measurements of their quadrupole moments in both states under the assumption that the differences of the radii are determined by the difference in their quadrupole deformations—were compared. Two-particle isomers in odd—odd nuclei, isomers formed upon the break of one or several nucleon pairs, and isomers featuring the 1i _13/2 configuration of the odd neutron in mercury nuclei were considered. The observed distinctions between the aforementioned differences of charged radii are discussed for isomeric states of different nature.