IBM-Ⅱ中的有效玻色子数

通过简单的半经验方法,本文给出在Z=40、64子壳附近的有效质子玻色子数,提出在SU(3)极限下存在质子玻色子和中子玻色子的饱和。用此可解释稀士区偶偶核中B(E2)、B(M1)的强饱和性和关联性。并把本文的结果与微观计算的有效玻色子数作了比较,两者是一致的。

有效玻色子数及其应用

本文用半经验方法给出了Ａ≥７０的偶偶核的有效玻色子数，收集了玻色子数饱和的有关证据，并采用有效玻色子数概念，处理了内禀电四极矩Ｑ０与ＮπＮｖ（Ａ≥７０的偶偶核）系统关系，得到了Ｑ０的经验公式．本文采用所给的有效玻色子数对（１４２）Ｃｅ和（１４４）Ｎｄ进行了数值计算。

IBM－2有效玻色子数和它在系统学中的应用

总结并讨论了中重核区域偶偶核ＩＢＭ－２有效玻色子数随质子数和中子数变化的情况，并利用这一结果给出稀土区和锕系区偶偶核随变化的系统学结果，注意到这两个区域随变化的特点，并给以定性解释．此外，本文还采用有效玻色子数的概念，对锕系区的Ｂ（Ｍ１）系统学性质作了预言．

Calculation of Entanglement Entropy for Continuous-Variable Entangled State Based on General Two-Mode Boson Exponential Quadratic Operator in Fock Space

We obtain an explicit formula to calculate the entanglement entropy of bipartite entangled state of general two-mode boson exponential quadratic operator with continuous variables in Fock space. The simplicity and generality of our formula are shown by some examples.

Gasser-Leutwyler Coefficients of Chiral Lagrangian for Pseudoscalar Goldstone Bosons in Dyson-Schwinger Equations

Based on the Dyson-Schwinger equations of quark propagator in rainbow truncation with an effective gluonpropagator,the ten unknown Gasser-Leutwyler coefficients of the chiral Lagrangian for pseudoscalar Goldstone bosonsare predicted.The predicted values of L_i with i=1,2,...,10 are in a reasonable agreement with empirical values usedwidely in literature,and the values predicted by many other theoretical models with QCD characteristics.

Analytic Expression of Arbitrary Matrix Elements for Boson Exponential Quadratic Polynomial Operators

Making use of the transformation relation among usual, normal, and antinormal ordering for the multimode boson exponential quadratic polynomial operators （BEQPO＇s）I we present the analytic expression of arbitrary matrix elements for BEQPO＇s. As a preliminary application, we obtain the exact expressions of partition function about the boson quadratic polynomial system, matrix elements in particle-number, coordinate, and momentum representation, and P representation for the BEQPO＇s.

Pion Decay Constant and Masses of Light Quarks and In-medium Goldstone Bosons

Based on the fully dressed confining quark propagator, the pion decay constant fπ, local quark vacuum condensate, and the masses of light quarks and in-medlum Goldstone bosons are investigated. The pion decay constant fπ is predicted and compared with its value of experimental measurement. A great agreement is obtained. With the predicted fπ and values of Goldstone boson masses measured by experiments in free configuration the current masses of light quarks and the masses of in-medium Goldstone bosons are obtained.

Pseudo-Classical Partition Function of Spin One-Half Derived by Coherent State Method

Using the bosonic coherent state representation and the Schwinger bosonic operator realization of angular momentum we find the formula for the quantum Hamiltonian H =iaiUijUjl a1 for SU（2） rotation U, in this way we further specify the angular velocity w, iUU = （1/2）σ·ω, where σ is the Pauli matrix. Though the spin as a quantum observable has no classical correspondence, we may still mimic it as a rigid body rotation characterized by 3 Euler angles, and calculate its Pseudo-classical rotational partition function of spin one-half.

Two Kinds of Two-Boson Realizations of Generally Deformed Algebras with Three Generators

In this paper two kinds of two-boson realizations of generally deformed algebras with three generators are obtained by generalizing the Jordan-Schwlnger realizations of SU（2） and SU（1,1）. For each kind, a unitary realization and a non-unitary realizatlon, together with the properties of their acting spaces, are discussed. Similarity transformations that relate the non-unitary realizations to the unitary ones are given by solving unitarization equations.

Neutrino Mass Generation in SO(4) Model

Generation of neutrino mass in SO（4） model is proposed here. The algebraic structure of SO （4） is same as to that ofSU（2）L x SU（2）R. It is shown that the spontaneous symmetry breaking results three massive as well as three massless gauge bosons. The standard model theory according to which there exist three massive gauge bosons and a massless one is emerged from this model. In the framework ofSU（2）L x SU（2）R a small Dirac neutrino mass is derived. It is also shown that such mass term may vanish with a special choice. The Majorana mass term is not considered here and thus in this model the neutrino mass does not follow seesaw structure.

Light Front Boson Model Propagation

The scope and aim of this work is to describe the two-body interaction mediated by a particle （either the scalar or the gauge boson） within the light-front formulation. To do this, first of all we point out the importance of propagators and Green functions in Quantum Mechanics. Then we project the covariant quantum propagator onto the light front time to get the propagator for scalar particles in these coordinates. This operator propagates the wave function from x＋ = 0 to x＋ 〉 0. It corresponds to the definition of the time ordering operation in the light front time x＋. We calculate the light-front Green＇s function for 2 interacting bosons propagating forward in x＋. We also show how to write down the light front Green＇s function from the Feynman propagator and finally make a generalization to N bosons.

Interaction between Fermions via Mass less Bosons and Massive Particles

By using a Hamiltonian based on the coupling through flux lines, we have calculated the interaction energy between two fermions via mass less bosons as well as via massive particles. In the case of interaction via mass less bosons we obtain an equivalent expression for the Coulomb＇s energy on the form cthc/r, where a is the fine structure constant. In the case of the interaction via massive particles we obtain that the interaction energy contains a term building the potential well. Also, we take into account the spin-spin interaction of the nucleons and we show that this interaction modulates the interaction potential through a cosine factor. The obtained results are in a good agreement with experimental data, for example, of deuteron. We have determined the radial functions for the deuteron.

有效价核子对数的微观意义初探

首次将有效玻色子数与费米子动力学对称模型(FDSM)的"有效"价核子对数,即正常宇称轨道上的价核子对数相对应.提出了一种计算过渡区——轻稀土区核的"有效"价核子对数亦即有效玻色子数的新方法.

DECOMPOSITIONS OF BOSONIC MODULES OF LIE ALGEBRAS W_(1+∞) AND W_(1+∞)(gl_N)

A bosonic construction (with central charge c = 2) of Lie algebras W1+∞ and W1+∞ (glN), as well as the decompositions into irreducible modules are described. And for W1+∞, when restricted to its Virasoro subalgebra Vir, a bosonic construction and the same decomposition for Vir are obtained.

Description of the properties of the low-lying energy states in ^(100)Mo with IBM2

The properties of the low-lying energy states for the l00 Mo isotope is investigated within the framework of the proton-neutron interacting model IBM2. By considering the relative energy of the d proton boson to be different from that of the neutron boson and taking into account the dipole interacting among like-boson Lπ·Lπ and Lπ·Lπ, the low-lying energy spectrum is reproduced well. Particularly, the relative position of the energies for 2＋1, 0＋2, 2＋2 and 4＋1 states shifted correctly fit the experimental data. The electromagnetic properties, including the key observable B（E2） reduced transition branching ratios and the E2 reduced matrix elements of the experimental data, are well described. Our calculations show possible shape coexistence in the l00Mo nucleus.

Effects of Gravitational Correction on Neutron Stars with Antikaon Condensation

Effects of gravitational correction through the introduction of U bosons on neutron stars with antikaon condensation are studied in the relativistic mean field theory. How the global properties of neutron stars, redshift and the momentum of inertia are modified by gravitational correction and antikaon condensation are discussed here. Results show that antikaon condensation can occur at the core of pulsar PSR J1614-2230. Gravitational correction and antikaon condensation influence each other, and when coupling constant of U bosons and baryons becomes very high, effects of antikaon condensation almost vanish. Moreover, both the redshift and the momentum of inertia of neutron stars are sensitive to the constant of U bosons. Combining with observation data, we can provide a further constraint on coupling constant of U bosons.

The Categorification of Fermions

In this paper, we lift Fermions to functors acting on some homotopy category by the Boson–Fermion correspondence and get the categorified relations of Fermions. In this way, both the categorified Bosons and the categorified Fermions can be viewed as functors on the same category. We also give actions of these functors on the charged Young diagrams(or equivalently, Maya diagrams), so that the classical theory of Boson–Fermion correspondence is very well recovered as a result of such a categorification.

Low energy SUSY confronted with new measurements of W-boson mass and muon g-2

The new CDF II measurement of W-boson mass shows a 7σdeviation from the standard model(SM)prediction,while the recent FNAL measurement of the muon g-2 shows a 4.2σdeviation(combined with the BNL result)from the SM.Both of them strongly indicate new physics beyond the SM.In this work,we study the implication of both measurements on low energy supersymmetry.With an extensive exploration of the parameter space of the minimal supersymmetric standard model(MSSM),we find that in the parameter space allowed by current experimental constraints from colliders and dark matter detections,the MSSM can simultaneously explain both measurements on the edge of 2σlevel,taking theoretical uncertainties into consideration.The favored parameter space,characterized by a compressed spectrum between bino,wino and stau,with the stop being around 1 TeV,may be covered in the near future LHC searches.

Light Front Fermion Model Propagation

In this work we consider the propagation of two fermion fields interacting with each other by the exchange of intermediate scalar bosons in the light front. We obtain the corrections up to fourth order in the coupling constant using hierarchical equations in order to obtain the bound state equation （Bethe-Salpeter equation）.

Description of the shape coexistence in neutron-deficient ^(74,76)Kr with IBM2

The shape deformation and shape coexistence in ^(74,76) Kr isotopes 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, the low-lying energy spectrum is in good agreement with experimental results both qualitatively and quantitatively. In particular, the low-lying 0_2^+ states associated with the shape-coexistence phenomenon are reproduced quite well. The calculated key sensitive quantities of B(E2) transition branch ratios are fairly consistent with the experimental data except for R_4. The predicated deformation parameter is very similar for the ground states in ^(74)Kr and ^(76)Kr, showing good agreement with the experimental result,and the calculated deformation parameter for the second 0^+ state in ^(74)Kr is close to the experimental data. The calculated results of the triaxiality parameter indicated an almost purely prolate shape for the ground state of ^(76)Kr and a mostly prolate shape with a little triaxiality for the ground state of ^(74)Kr. The calculations also show an oblate triaxial shape for the second 0^+ state in ^(76)Kr and maximum triaxiality for the second 0^+ state in ^(74)Kr. These results confirm the importance of the triaxial deformation for the description of such shape coexistence.