Fermion Corrections to Mass of Scalar Glueball in QCD Sum Rule

Contributions of fermions to the mass of the scalar glueball 0⁺⁺ are calculated at two-loop level in the framework of QCD sum rules. It slightly changes the coefficients in the operator product expansion (OPE) and shifts the mass of glueball to 1.72 ±0.07 GeV.     

Fermion Corrections to Mass of Scalar Glueball in QCD Sum Rule

Contributions of fermions to the mass of the scalar glueball 0^＋＋ are calculated at two-loop level in the framework of QCD sum rules. It slightly changes the coefficients in the operator product expansion （OPE） and shifts the mass of glueball to 1.72 ± 0.07 GeV.     

混合效应在QCD求和规则下对标量胶球质量的影响

在QCD求和规则的框架下考虑了纯胶球和普通介子态的混合效应对二者质量的影响.在关联函数的构造中,胶子流和夸克流都被认为既和胶球态有耦合,也和夸克态有耦合.利用QCD低能定理,构造了一个混合关联函数.通过这些关系及两共振态近似,得出了0⁺⁺胶球和夸克态的质量,它们与各自的纯态的质量相差不大.     

QCD Sum Rules for the 0++ Three-Gluon Scalar Glueball

The two-point function of the 0⁺⁺ three-gluon scalar current is calculated by including not only the perturbative contribution but also the non-perturbative contributions of condensates of dimension up to six The QCD sum rules for the 0⁺⁺ three-gluon scalar glueball are deduced in the "zero-width resonance plus continuum" model. The mass of this glueball is determined to be 1.45GeV approximately.     

QCD求和规则的张量胶子球(2++)的质量

利用量子色动力学求和规则计算了张量胶子球 (2++ )的质量 ,其结果与北京正负电子对撞机的BES实验组和MARKIII实验组的测量结果一致 ,表明张量胶子球的质量约 2 .2 3GeV左右。The mass of the tensor glueball (2 ++ ) is calculated in quantum chromodynamics(QCD) spectral sum rules. The theoretical prediction is in good agreement with the measurements of BES collaboration at BEPC, Beijing and MARK III, which indicates that the mass of the tensor glueball may be around 2.23 GeV.     

The Spectra of the Light 0++ Mesons in QCD Sum Rules

In this work, the fight J^PC = 0⁺⁺ mesons f₀(975), a₀(980) and S^*(980) are interpreted as the usual qq states, their masses are investigated in the framework of the QCD sum rules.     

用改进的格点哈密顿量计算2+1维QCD0++胶球质量

用改进的格点哈密顿量和截断本征方程法计算2+1维QCD 0⁺⁺胶球质量,结果显示较好的标度行为.     

Charm Mass Determination from QCD Sum Rules: A Revision of the Classical Method

In this work we take a revised look at the charm quark mass determination from QCD sum rules analyses. On the theoretical side we use the most up to date calculations (amounting to up ${O(\alpha_s^3)}$ expressions) and on the experimental side, to our knowledge, the most complete data set (maximum coverage of the energy spectrum). We reconsider the estimate of perturbative uncertainties (due to truncation of the series in ?? _s ) proposing four alternative methods (equivalent in perturbation theory) to determine the ${\rm{\overline{MS}}}$ charm quark mass. We also use a very robust method to combine data from different experiments when systematic correlated errors are mainly due to normalization. This allows to use experimental data up to 10.5GeV, and to quantify statistic and systematic experimental errors in a meaningful way.     

Analysis of X（1576） as a Tetraquark State with the QCD Sum Rules

We take the viewpoint that X（1576） is the tetraquark state which consists of a scalar diquark and an antiscalar-diquark in relative P-wave, and calculate its mass in the framework of the QCD sum rule approach. The numerical value of the mass mx= （1.66 =k 0.14） GeV is consistent with the experimental data. There might be some tetraquark components in the vector meson X（1576）.     

Quarkonia at Finite T: An Approach Based On QCD Sum Rules and the Maximum Entropy Method

Quarkonium spectral functions at finite temperature are studied, making use of a recently developed method of analyzing QCD sum rules by the maximum entropy method. This approach enables us to directly obtain the spectral function from the sum rules, without having to introduce any specific assumption about its functional form. QCD sum rules for heavy quarkonia incorporate finite temperature effects in form of changing values of the various gluonic condensates that appear in the operator product expansion. These changes depend on the energy density and pressure at finite temperature, which we extract from quenched lattice QCD calculations. As a result, it is found that the charmonium ground states of both S-wave and P-wave channels dissolve into the continuum already at temperatures around or slightly above the critical temperature T _c , while the bottomonium states are less influenced by temperature effects, surviving up to about 2.5 T _c or higher for S-wave and about 2.0 T _c for P-wave states.     

QCD非微扰和能量丢失效应对夸克分布影响

在非常数性K因子的情况下,根据核Drell-Yan过程的高能强子h同原子核A碰撞和高能轻子l同原子核A深度非弹性碰撞的实验数据,在考虑QCD非微扰效应对深度非弹性散射部分子分布的影响及Drell-Yan过程中的能量丢失效应,计算确定价夸克分布和海夸克分布核效应函数RAυ(x₂),RAS(x₂)的变化,深化了对原子核内夸克分布受核效应影响的认识     

用改进的格点哈密顿量计算2+1维QCD 0++胶球质量

用改进的格点哈密顿量和截断本征方程法计算2＋1维QCD 0^ 胶球质量,结果显示较好的标度行为。     

Notes on Interplay between the QCD and EW Perturbative Corrections to the Pole-Running-to-Top-Quark Mass Ratio

JETP Letters - A specific representation of the known one-loop EW correction to the relation between the pole and running $$\overline {{\text{MS}}} $$ -scheme masses of the top-quark through...     

Approach to the quantum evolution for underdamped, critically damped, and overdamped driven harmonic oscillators using unitary transformation

Exact solution of the Schrödinger equation is derived for underdamped, critically damped, and overdamped harmonic oscillators with a driving force. A unitary operator transforming Hamiltonian into a simple form is introduced. The transformed Hamiltonian, represented in terms of a modified frequency ω, is identical with the Hamiltonian of the standard harmonic oscillator for the underdamped oscillator, with the Hamiltonian of a free particle for the critically damped oscillator, and with the Hamiltonian of a system with a harmonic parabolic potential for the overdamped oscillator. The eigenvalues of underdamped oscillator are discrete while those of the critically damped and the overdamped oscillators are continuous.     

Reanalysis of the （0^＋, 1^＋） States Bs0 and Bs1 with QCD Sum Rules

We calculate the masses and decay constants of the P-wave strange-bottomed mesons Bs0 and Bs1 with the QCD sum rules, and observe that the central values of the masses Bs0 and Bs1 are smaller than the corresponding BK and B^＊K thresholds respectively, the strong decays Bs0→ BK and Bs1→B^＊K are kinematically forbidden. They can decay through the isospin violation processes Bs0→ Bsη → Bsπ^0 and Bs1 → Bs^＊η → Bs^＊π^0 .The bottomed mesons Bs0 and Bs1, just like their charmed cousins Ds0（2317） and Ds1（2460）, may be very narrow.     

One-Loop QCD Corrections to the Inclusive Production Cross-Section for Heavy Quarks in p Collisions at High Transverse Energies

We calculate one-loop QCD corrections to the production cross-section for heavy quarks in protonantiproton collisions. We are interested in the behaviour of the cross-section at high transverse energies. At high P_T the quark mass should become an irrelevant parameter. Therefore we work in the framework of massless QCD and absorb all mass singularities in a redefinition of the parton densities and fragmentation functions. Numerical results of the cross-section at √S = 0.63, 1.8 and 10 TeV are presented and the dependence of these results on the factorization scheme is examined.     

Reply to comment on “A local realist model for correlations of the singlet state" by M.P. Seevinck and J.-Å. Larsson

The general conclusion of Seevinck and Larsson is that our model exploits the so-called coincidence-time loophole and produces sinusoidal (quantum-like) correlations but does not model the singlet state because it does not violate the relevant Bell inequality derived by Larsson and Gill, since in order to obtain the sinusoidal correlations the probability of coincidences in our model goes to zero. In this reply, we refute their arguments that lead to this conclusion and demonstrate that our model can reproduce results of photon and ion-trap experiments with frequencies of coincidences that are not in conflict with the observations.     

An Error Analysis for the Finite Element Approximation to the Steady-State Poisson-Nernst-Planck Equations

Poisson-Nernst-Planck equations are a coupled system of nonlinear partial differential equations consisting of the Nernst-Planck equation and the electrostatic Poisson equation with delta distribution sources, which describe the electrodiffusion of ions in a solvated biomolecular system. In this paper, some error bounds for a piecewise finite element approximation to this problem are derived. Several numerical examples including biomolecular problems are shown to support our analysis.     

Introduction of quantum finite-size effects in the Mie's theory for a multilayered metal sphere in the dipolar approximation: Application to free and matrix-embedded noble metal clusters

A mixed classical/quantum model for calculating the optical response of free and matrix-embedded multilayered metal spheres in the dipolar approximation is presented. The conduction electrons are quantum-mechanically treated in the framework of the time-dependent local-density-approximation formalism (TDLDA), whereas the surrounding matrix, the ionic metal backgrounds and the non-metallic materials are classically described through homogeneous charge distributions or/and dielectric media. Except for the TDLDA calculations, the present formalism is completely analytical and can be applied to coated spheres with any number of metal or dielectric layers. Contrary to the previous TDLDA-based models involving an inner or/and an outer dielectric medium (one or two interfaces), all the dielectric effects (screening and absorption) are self-consistently calculated. In particular, the interband transitions and the mutual interplay between the conduction and core electrons are self-consistently treated. The deficiencies of the previous models are analyzed, and the results are compared with the classical Mie's theory, over the entire spectral range. The building-up of the classical absorption spectrum, consisting of the surface plasmon resonance and the interband transitions, is clearly observed as the cluster size increases. Received 15 March 1999 and Received in final form 11 October 1999     

On the Momentum,Mass and Energy Transport for Transverse Wave Packets in Warm Plasmas,with Applications to Solitons

The energy-mass equation has been formulated for transverse wave packets of an arbitrary form propagating in warm plasmas and then it has been applied to solitons. In contradistinction to a soliton mass given by Klein [7], the mass defined here cannot be chosen arbitrarily.