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.     

EM Transition Sum Rules Within the Framework of sdg Proton-Neutron Interacting Boson Model,Nuclear Pair Shell Model and Fermion Dynamical Symmetry Model

By the techniques of the Wick theorem for coupled clusters, the no-energy-weighted electromagnetic sum-rule calculations are presented in the sdg neutron-proton interacting boson model, the nuclear pair shell model and the fermion-dynamical symmetry model.     

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.     

相互作用玻色子模型中振转过渡区的特征研究

详细研究了相互作用玻色子模型中U(5)振动极限到SU(3)转动极限的相变行为.通过对能谱和E2跃迁强度等的分析,说明了在临界点的核具有最大的非刚性. Transitional patterns from the U(5) vibrational limit to the SU(3) rotational limit in the interacting Boson model are studied in detail. The transitional behavior of low-lying energy levels, isomer shifts, E2 transition rates, and some other related quantities across the entire region are investigated. The results show that nuclei in the critical region are most non-rigid.     

The Rotational Limit of the Interacting Boson Model 3

The SU(3) limit of the isospin invariant IBM-IBM3 is studied. The decomposition rules are given for N≤9. An analytical formula for the decomposition of the U(6) [N, 1] is given. Typical spectrum is discussed. Different forms of the interaction and their relation are obtained. Transition operators are also discussed.     

The F-Spin Formalism of the Neutron-Proton Interacting Boson Model

The neutron-proton interacting boson model is presented in the F-spin formalism. Hamiltonian and transition operators are rewrit ten in the F-spin formalism based on group chain U(12)⊃U(6)⊗SU_F(2). Matrix elements are given explicitly in terms of the cfp's with F-spin. Different forms of Hamiltonian in IBM-2 are compared, and their relations are given.     

The Interacting Boson Model for Anomalous Rotational Bands

The interacting boson model for anomalous rotational bands is proposed. In the rotational SU(3) limit,an asymptotic limit is discussed. Within the framework of the model several analytic relations for energies and electro-magnetic transition rates are derived.     

The microscopic Interacting Boson Model for nondegenerate orbits

The microscopic Interacting Boson Model formalism is outlined and a general procedure is described for deriving the parameters of the model when the valence orbits are nondegenerate. This latter technique involves expanding pair creation operators for J = 0 (or J = 2) correlated pairs in terms of J = 0 (or J = 2) pair creation operators for individual orbits. This expansion enables us to relate matrix elements for the multi-orbit problem to matrix elements for individual orbits for which the well-known Racah-seniority reduction formulae apply. Our calculated results for the parameters of the boson-boson quadrupole-quadrupole interaction show a definite relationship to the underlying subshell structure of each major shell, in agreement with the phenomenological results. It is also discovered that the results obtained using particle states are not the same as those obtained using hole states, due to the truncation scheme used to extablish the correlated J = 0 and J = 2 pairs.     

Correlated Nucleon Pair Model and Microscopic Basis of Interacting Boson

An earlier work dealing with low-lying collective states in nuclei is revised and improved. Correlated and independent nucleon S and D pairs properly modified so that they behave approximately like bosons are constructed in terms of which a model space for lowlying collective states is defined, and a microscopic basis for IBM is thus set up. All dynamical variables can also be "bosonized", i.e., expressed in terms of these "bosons" but with statedependent coefficients or operators to incorporate their state dependence in model space.     

超形变核态的相互作用玻色子模型研究

概要介绍了超形变核态的相互作用玻色子模型研究的现状、理论框架及一些应用.The present status, the framework and some applications of the investigation on the superdeformed nuclear states in the scheme of the interacting boson model are described.     

ΔI = 1 Staggering in Doubly Odd Superdeformed Nuclei

The ΔI = 1 staggering in doubly odd superdeformed nuclei is systematically investigated. Large-amplitude staggerings emerge in a series of the signature partners. The behavior is analyzed and parametrised in the conventional collective model. The spins of signature partner pairs are assigned in ab and modified ab expressions.     

Validity of the Counting Schemes of Boson Number in the Interacting Boson Model and Regularities in Systematic Studiesfor Even-Even Nuclei

The E₂₁+, E₄₁+, E₆₁+, B(E2,0₁⁺ → 2₁⁺) systematics are presented by using the total np interaction V_Np and the ratio betwyn V_Np and the total pairing strength V_pair to have a richer understanding of the wel&known N_πN_V and N_nN_p/(N_n + N_p) schemes. The different counting schemes for effective bosoh numbers and some regularities uncovered in previous studies are tested by the figures of V_NP/V_pair schemes. The systematics in the V_NP/V_pair scheme suggest that-the N_nN_p/(N_n + N_p) scheme holds for A ≥ 100 even-even nudei.     

sdg IBM对稀土偶偶核基态形变的计算

用sdg IBM的内禀态,解析计算了稀土区的^152—164Dy、^154—168)Er、^170—186W、^168—194Os等偶偶同位素的基态形变,与其它理论及实验结果进行系统比较,表明sdg IBM能对核的形变作出很好的描述.     

铂同位素的研究——费米子动力学对称模型和相互作用玻色子模型的比较

利用费米子动力学对称性模型(FDSM)系统研究了偶偶核铂的同位素,其跃迁可以很好地由对相互作用+四极相互作用来描述,计算了铂(^190—196Pt)同位素的能级、电四极矩、旋磁比、同质异能移和同位素移动,结果表明理论值与实验值符合的很好.计算结果还与相互作用玻色子模型(IBM)的结果进行了比较.计算结果表明即使在FDSM中质子–中子耦合系统(SO^π(8)×SP^ν(6))形式上不包括SO(6)动力学对称性,但¹⁹⁶Pt附近确实存在精确的等效SO(6)动力学对称性     

Study of Platinum Isotopes: A Comparison of the Fermion Dynamical Symmetry Model and the Interacting Boson Model

The systematics of the even platinum isotopes are described within the framework of the Fermion Dynamical Symmetry Model. By using a pairing—plus—quadrupole type interactions, we show that the transitional behavior of these isotopes can be effectively accounted for. Good agreement is obtained between theory and data for energy levels, B(E₂) values, electric quadrupole moments, gyromagnetic factors, and the isomer shifts and isotope shifts for ^190—196Pt. The Calculations are also compared with various results obtained from the Interacting Boson Model. Consequently, our numerical calculation show that a very accurate effective SO(6) dynamical sysmmetry exists around ¹⁹⁶Pt, even though the proton-neutron coupled system (SO^π(8)×SP^ν(6)) does not formally contain such a dynamical symmetry in the fermion dynamical symmetry model. Implications of this effective dynamical symmetry are discussed.     

Duality in Interacting Particle Systems and Boson Representation

In the context of Markov processes, we show a new scheme to derive dual processes and a duality function based on a boson representation. This scheme is applicable to a case in which a generator is expressed by boson creation and annihilation operators. For some stochastic processes, duality relations have been known, which connect continuous time Markov processes with discrete state space and those with continuous state space. We clarify that using a generating function approach and the Doi-Peliti method, a birth-death process (or discrete random walk model) is naturally connected to a differential equation with continuous variables, which would be interpreted as a dual Markov process. The key point in the derivation is to use bosonic coherent states as a bra state, instead of a conventional projection state. As examples, we apply the scheme to a simple birth-coagulation process and a Brownian momentum process. The generator of the Brownian momentum process is written by elements of the SU(1,1) algebra, and using a boson realization of SU(1,1) we show that the same scheme is available.