The Structure of the Neutron-Rich Nd Isotopes in the IBM

The spectra and E2 transition properties of ^146-156Nd isotopes are studied in the interacting boson model in the light of new experimental data. It is found that ^146-150Nd are in the transition from the vibrational limit to the rotational limit. From ¹⁵²Nd onward, the isotopes are nearly perfect rotors. Possible deformation saturation is discussed in the interacting boson model.     

A study of Cd and Te isotopes in the interacting boson approximation

An investigation of the properties of the Cd and Te isotopes is performed in the framework of the interacting boson approximation. Particular attention is paid to the presence of “intruder” 0⁺ and 2⁺ states at the energy of the two-phonon triplet in the middle-shell Cd isotopes. It is suggested that these states originate from two-particle two-hole proton excitations across the shell gap at Z = 50. The behaviour of these states is studied as a function of the neutron number. No clear evidence of similar phenomena is observed in the Te isotopes. The collectives features of these nuclei are found to be in satisfactory agreement with the predictions of the neutron-proton interacting boson model.     

Single-hole-core coupling in the N = 50 region

The level schemes and electromagnetic properties of ⁸⁵Kr, ⁸⁵Sr, ⁸⁷Sr and ⁸⁹Zr are calculated in a semi-microscopic model which couples the neutron hole motion in the N = 28–50 shell to the quadrupole and octupole vibrations of the core. The calculations are compared with recent experimental results.     

Pion-Nucleus Scattering and the Interacting Boson Model

A procedure of combining the medium energy scattering theory in the Eikonal approximation with the interacting boson model is proposed to study the pion-nucleus scattering. The channel coupling effects in the excitation of nuclear collective state with ρ^- and ρ⁺ elastic and inelastic scattering are analyzed. The calculated cross sections for the excitation of 2₁⁺ state of ²¹⁸Sn agree with experimental data quite well.     

Pion-Rotational Nucleus Scattering and the Interacting Boson Model

A procedure of combining the medium energy scattering theory in the eikonal approximation with the interacting boson model (IBM) is proposed to study the pion-rotational nucleus scattering. The channel coupling effects in the excitation of nuclear collective state with π^- and π⁺ elastic and inelastic scattering are analyzed. The calculated cross sections for the excitation of 2₁⁺ state of ¹⁵²Sm agmree with the experimental data quite well.     

Cranking Calculation in the sdg Interacting Boson Model

A self-consistent cranking calculation of the intrinsic states of the sdg interacting boson model is performed. The formulae of the moment of inertia are given in a general sdg IBM multipole Hamiltonian with one- and two-body terms. In the quadrupole interaction, the intrinsic states, the quadrupole and hexadecapole deformation and the moment of inertia are investigated in the large N limit. Using a simple Hamiltonian, the results of numerical calculations for ¹⁵²,¹⁵⁴Sm and ^154-160 Gd satisfactorily reproduce the experimental data.     

Excitation of multiple giant dipole resonances: from spherical to deformed nuclei

The effect of deformation on the excitation of multiple giant dipole resonances is studied. Analytical expressions are derived in the framework of the interacting boson model for the energies and E1 properties of giant dipole resonances in spherical and deformed nuclei, and a numerical treatment of transitional nuclei is proposed. Coulomb-excitation cross sections are calculated in ²³⁸U and in the samarium isotopes.     

An IBM2 Description of the E(5) Symmetry in 134Ba and 108Pd

With the low-lying energy levels, E2 transition branching ratios and absolute transition rates of the ¹³⁴Ba and ¹⁰⁸Pd, are investigated in the neutron-proton interacting boson model (IBM2) which includes the quadrupole-quadrupole interaction between like bosons and the E(5) symmetry, it shows that the IBM2 can describe the nuclei at critical point of a phase transition well.     

Spectra and E2 Transition Rates in 116-132X in the IBM

The positive-parity collective states in the even-even ^116-132Xe isotopes are studied in the framework of the interacting boson model. It is found that the isotopes can be well described by a schematic Hamiltonian in transition from U(5) to SU(3) dynamical symmetry. As the valence neutron number changes, the structure of the isotopes shows regular patterns of change.     

Microscopic Description of g Factors and M1 Properties in Platinum Isotopes

Starting from the shell model configurations, valence nucleon effective interactions and fermion M1 transition current density operator, the counterparts in the proton-neutron interacting boson model (sdIBM-2) of the fermion Hamiltonian and M1 transition current density operator are derived microscopically with the help of Dyson expansion technique. The boson g factors are abstracted from the boson M1 transition current density operator. Spectra, g factors of 2₁⁺, 2₂⁺, 4₁⁺ states and M1 matrix elements between 2₂⁺ and 2₁⁺ are calculated for the even ^192-198Pt isotopes in the sdIBM-2. The theoretical results fit experimental data quite well.     

Microscopic Study of Band Structures in98-102Sr and 100-104Zr Isotopes

The properties of the high spin states of the neutron-rich ^98-102Sr and ^100-104Zr isotopes have been studied using the projected shell model. In particular, the upbending phenomenon is investigated for these isotopes along the yrast line. The results show that the occurrence of upbending phenomenon is
attributed to the band crossing between ground state band and 2-qp neutron band having configuration 2νh_{11 / 2}[-3/2, 5/2], K=1. Furthermore, the neutron two-quasi-particle structure of side bands in ⁹⁸Sr and ¹⁰²Zr is discussed in this paper.     

Energy Staggering in Ground Bands of 232Th and 236,238U Nuclei Using the Interacting Vector Boson Model

The ΔI=2 and ΔI=4 staggering parameters of transition energies E_γ for normally deformed positive parity ground bands in ²³²Th and ^236,238U nuclei are studied in framework of the symplectic extension of the interacting vector boson model. The model parameters are obtained from the fitting procedure between the calculated excitation energies and the corresponding experimental ones. The staggering parameters represent the finite difference approximations to higher order derivatives dⁿE_γ/d Iⁿ of the γ -ray transition energies in a ΔI=2 and ΔI=4 bands, which yielding multipoint formulae. The first order derivative (two-point formula) provides us with information about the dynamical moment of inertia. The staggering oscillation for the fourth order derivative (five-point formula) is about 0.5 KeV and is even larger than that in superdeformed bands. The quite similarity in dynamical moments of inertia of the isotopes ^236,238U up to high spin states indicate that the phenomenon of identical bands is not restricted to superdeformed bands.     

Positive Parity States in Even-Even Te Isotopes

The positive-parity collective states in the even-even ^116~130 Te isotopes are studied in the framework of interacting boson model. A schematic Hamiltonian able to describe the transition from U(5) to SU(3) dynamical symmetry is used. It is found that the spectra can be well described by the transition from vibration to rotation. The behavior of the 0₂⁺ state can be partially described by the model, suggesting that the state is mainly composed of the normal sd configuration, but is influenced by the cross-shell excitation across the Z = 50 shell.     

q-Deformed U(5) Limit in s,d IBM for Nuclei

The q-deformed Hamiltonian with U(5) symmetry in s , d interacting boson model can be constructed by using quantum algebra SU_P (2), SU_q(1,1) and q-deformed boson operator. The energy spectra and E2 transition rates of ^110~114Cd iso topes are calculated. The calculated results agree with the experimental data rather well. Analyses on the calculated results show that the q-deformed U(5) limit is deviated from the symmetry in the original model and the degree of deviation is dependent on the deformation parameter.     

丰中子锶同位素的投影壳模型研究

利用考虑跨壳激发的投影壳模型（PSM）方法,研究了质子数Z=38、中子数N=63和64大形变丰中子101,102Sr同位素的结构性质。主要计算了转动谱、转动惯量和电磁跃迁性质等（如B（E2）和g因子）,并与相应的实验数据进行系统比较和相关的理论预言。结果表明,PSM可以利用理论计算的能带图解释101,102Sr同位素的转动惯量、电磁跃迁随自旋的变化,分析晕带的结构。PSM理论可以很好地再现实验结果,说明PSM方法及其采用的有效相互作用可以外推研究丰中子核区101,102Sr同位素的原子核结构。对于101,102Sr同位素,核子开始填布质子g_9/2和中子h_11/2轨道,通过更为仔细地分析能带图中来自质子g_9/2和中子h_11/2轨道对各转动带的组态成分的贡献,清晰地表明丰中子核结构性质对不同核子填布的依赖。Recently, we have carried out systematically studies on the structural properties of proton number Z=38, neutron number N=63 and 64 neutron-rich isotopes 101,102Sr by using the projected shell model (PSM) with consideration of cross shell excitation. The rotation spectra, the moment of inertia and the electromagnetic transition properties (such as B(E2) and g-factor) are calculated and compared with the corresponding experimental data in this paper. Furthermore, more high spin states are predicted in the calculation and expected to be confirmed experimentally. The results show that the PSM can not only well analyze the structural properties of yrast bands in 101,102Sr but also interpret the variation of the moment of inertia, electromagnetic transition with spins in terms with the theoretical band diagram. The good agreement with the experimental data suggests that the PSM with the adopted effective interactions can be generalized to study the nuclear structure of 101,102Sr isotopes in neutron-rich mass region. For 101,102Sr isotopes, the nucleons begin to fill proton g_9/2 and neutron h_11/2 orbital, the dependence of nuclear structure and properties on the different orbital occupies is described by carefully analyzing the contribution from proton g_9/2 and neutron h_11/2 orbital to the configuration of rotational bands in band diagram.     

A unified description of shape coexistence and mixed-symmetry states in ~(98)Mo using IBM-2

Level structure and electromagnetic transitions in ~(98)Mo have been investigated on the basis of the proton-neutron interacting boson model(IBM-2) by considering the energy difference between neutron boson ε_ν and proton boson ε_π. The results are compared with the recent experimental data and it is observed that they are in good agreement. In particular, the strongest M1 transition from 2_5~+ state to 2_2~+ can be well reproduced, from which one can determine the 2_5~+ as an mixed-symmetry(MS) state. We have calculated the electric monopole strength ρ~2(E0,0_2~+→0_1~+), and our result agrees with the experimental one. The calculation indicates that shape coexistence and MS states are simultaneously well described using IBM-2.     

Effects of a Weakly Interacting Light U Boson on Protoneutron Stars Including the Hyperon-Hyperon Interactions

In the framework of the relativistic mean field theory including the hyperon-hyperon(YY) interactions,protoneutron stars with a weakly interacting light U boson are studied. The U-boson leads to the increase of the star maximum mass. The modification to the maximum mass by the U-boson with the strong YY interaction is larger than that with the weak YY interaction. The maximum mass of the protoneutron star is less sensitive to the U-boson than that of the neutron star. The inclusion of the U-boson narrows down the mass window for the hyperonized protoneutron stars. As g~2/μ~2 increases, the species of hyperons, which can appear in a stable protoneutron star decrease. The rotation frequency, the red shift, the momentum of inertia and the total neutrino fraction of PSR J1903-0327 are sensitive to the U-boson and change with g~2/μ~2 in an approximate linear trend. The possible way to constrain the coupling constants of the U-boson is discussed.     

Band structures of Se and Se

Band structures of ⁷⁶Se and ⁷⁸Se have been studied with the ^74,76Ge(, 2nγ)^76,78Se reactions by using a variety of in-beam γ-techniques : γ-ray singles spectra, γ-ray excitation functions, γ-γ-t coincidences, γ-ray angular distributions and γ-ray linear polarizations.

Spins and parities have been assigned uniquely for many new levels in ⁷⁶Se and ⁷⁸Se and four bands have been identified in both nuclei: (i) the ground-state band, (ii) a positive-parity ΔJ = 1 band built on the second 2⁺ state (γ-vibrational band), (iii) a negative-parity Δ J = 2 band built on the 3⁻ state (octupole band) and (iv) a ΔJ = 2 band built on the high-lying J = 4 state. In addition, the second 8 ⁺ and 10⁺ states, which are possibly the lowest members of a band, have been found in both nuclei.

Systematics of the band structures obtained are discussed. Level energies of the band members and B(E2) ratios for some of the inter-band transitions between γ- and ground-state bands have been calculated with the proton-neutron interacting boson model IBM-2 and a reasonable agreement with the present data has been obtained.     

Shape coexistence in 76Se within the neutron–proton interacting boson model

We have investigated the low-lying energy spectrum and electromagnetic transition strengths in even–even ⁷⁶Se using the proton–neutron interacting boson model (IBM-2). The theoretical calculation for the energy levels and E2 and M1 transition strengths is in good agreement with the experimental data. Specifically, the excitation energy and E2 transition of ${0}_{2}^{+}$ state, which is intimately associated with shape coexistence, can be accurately reproduced. The analysis on low-lying states and the key structure indicators R₁, R₂, R₃ and R₄ and M1 transitions indicates that there is a coexistence between spherical shape and γ-soft shape in ⁷⁶Se.