Bounds on the Slope and Curvature of Isgur-Wise Function in a QCD-Inspired Quark Model

The quantum chromodynamics-inspired potential model pursued by us earlier has been recently modified to incorporate an additional factor ‘c’ in the linear cum Coulomb potential. While it felicitates the inclusion of standard confinement parameter b?=?0.183 GeV² unlike in previous work, it still falls short of explaining the Isgur-Wise function for the B mesons without ad hoc adjustment of the strong coupling constant. In this work, we determine the factor ‘c’ from the experimental values of decay constants and masses and show that the reality constraint on ‘c’ yields bounds on the strong coupling constant as well as on slope and curvature of Isgur-Wise function allowing more flexibility to the model.     

From QCD to Quark Potential Model

The connection between phenomenological parameters in the quark potential model and fundamental QCD parameters is established by studying the fermionic three-point Green's functions in QCD incorporating the effects of nonperturbative vacuum. The scale of chiralsymmetry-breaking leading to the constituent quark picture is estimated.     

A Gaussian Model for Anisotropic Strange Quark Stars

For studying the anisotropic strange quark stars,we assume that the radial pressure inside an anisotropic star can be obtained simply by isotropic pressure plus an additional Gaussian term with three free parameters(A,μand χ).According to recent observations,a pulsar in a mass range of 1.97±0.04M_⊙ has been measured.Hence,we take this opportunity to set the free parameters of our model.We fix χ by applying boundary and stability conditions and then search the A —μ parameter space for a maximum mass range of 1.9M_⊙ M_(max) 2.1M_⊙.Our results indicate that anisotropy increases the maximum mass M_(max) and also its corresponding radius R for a typical strange quark star.Furthermore,our model shows magnetic field and electric charge increase the anisotropy factor △.In fact,△ has a maximum on the surface and this maximum goes up in the presence of magnetic field and electric charge.Finally,we show that anisotropy can be more effective than either magnetic field or electric charge in raising maximum mass of strange quari stars.     

Exciton States in Spherical Gaussian Potential Wells

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Exciton States in Spherical Gaussian Potential Wells

The exciton L = 0 and L = 1 states of a spherical GaAs quantum dot with a Gaussian confining potential are calculated by using the matrix diagonalization method.The size dependence of the exciton levels and the influence of the depth of the confining potential well in the spherical quantum dots are investigated. The same calculations performed with the parabolic approximation of the Gaussian potential lead to the results, which are qualitatively and quantitatively different.     

夸克势模型中的重子－重子相互作用自旋－轨道耦合势

在夸克－夸克自旋－轨道耦合势中引入了由海夸克效应产生的、与颜色自由度无关的自旋－轨道耦合势．并定性地讨论了这个势对重子谱及重子－重子相互作用计算中的影响．     

Exciton States in a Gaussian Confining Potential Well

We consider the problem of an electron-hole pair in a Gaussian confining potential well. This problem is treated within the effective-mass approximation framework using the method of numerical matrix diagonalization. The energy levels of the low-lying states are calculated as a function of the electron-hole effective mass ratio and the size of the confining potential.     

Exciton States in a Gaussian Confining Potential Well

We consider the problem of an electron-hole pair in a Gaussian confining potential well. This problem is treated within the effective-mass approximation framework using the method of numerical matrix diagonalization. The energy levels of the low-lying states are calculated as a function of the electron-hole effective mass ratio and the size of the confining potential.     

手征SU(3)夸克模型的六夸克集团态的研究

用手征SU(3)夸克模型分析了(Os)6组态的六夸克态能量,结果表明手征SU(3)介子场可以对某些高奇异数的态提供较强的吸引作用,这为进一步讨论是否有可能存在窄宽度的六夸克态提供了有用的信息.     

Extended Quark Potential Model from Random Phase Approximation

The quark potential model is extended to include the sea quark excitation using the random phase approx-imation. The effective quark interaction preserves the important QCD properties - chiral symmetry and confinementsimultaneously. A primary qualitative analysis shows that the π meson as a well-known typical Goldstone boson andthe other mesons made up of valence qq quark pair such as the ρ meson can also be described in this extended quarkpotential model.     

手征SU(3)夸克模型与六夸克态的研究

用手征 SU( 3)夸克模型分析了 ( 0 s) 6组态的六夸克态能量 ,结果表明手征 SU( 3)介子场可以对某些多奇异数的态提供较强的吸引作用 .进一步用共振群方法研究了 ( ΩΩ) 0 + 及 ( ΩΞ) 1+ 等多奇异数系统 ,得到 ( ΩΩ) 0 是一个深度束缚的双重态. An analysis is made for the (0s) 6 six quark cluster states in the chiral SU (3) quark model. The results show that for some multistrangeness states the chiral SU (3) could offer more attraction. Further RGM dynamical calculation of the multistrangeness system (ΩΩ) 0+ and (ΩΞ) 1+ has been done. It shows that (ΩΩ) 0+ is a deeply bound state in the chiral SU (3) quark model.     

Hopping Parameter Expansion Technique in Noise Method for Disconnected Quark Loops

We investigate the effectiveness of the hopping parameter expansion(HPE) combined with the Z(2) noise method in the calculation of the trace of the inverse of Wilson's Dirac operator and some other disconnected contributions.A numerical comparison of the standard deviation for the Z(2) noise method and HPE with the Z(2) noise method is carried out. It is found that there are noise reductions in all the quantities we calculated using the HPE with the Z(2) noise method. For the trace of the inverse of Wilson's Dirac operator, the HPE can reduce the statistical error by about 60%.     

Qq^- Q ^- q＇ States in Chiral SU（3） Quark Model

We study the masses of Qq^- Q ^- q＇ states with J^PC=0^＋＋,1＋＋ and 2^＋＋ in the chiral SU（3）quark model, where Q is the heavy quark （c or b） and q （q＇） is the light quark （u, d or s）. According to our numerical results, it is improbable to make the interpretation of [cn^-C^-n]1＋＋ and [cn^-C^-n]2＋＋ （n = u, d） states as X（3872） and Y（3940）, respectively. However, it is interesting to find the tetraquarks in the bq^-b^-q＇ system.     

Nucleon Spin Content in a Relativistic Quark Potential Model Approach

Based on a relativistic quark model approach with an effective potential U(r) = (ac/2)(1 + γ0)r2, the spin content of the nucleon is investigated. Pseudo-scalar interaction between quarks and Goldstone bosons is employed to calculate the couplings between the Goldstone bosons and the nucleon. Different approaches to deal with the center of mass correction in the relativistic quark potential model approach are discussed.     

Investigation of Dilaton-Gluon Coupling Potential in Charmonium Family

The behaviour of dilaton-gluon coupling （DGC） potential is investigated by studying charmonium spectra, annihilation rates and E1 transition rates systematically. We find that in the non-relativistic quantum chromodynamics approximation, the charmonium properties can be described by the DGC potential.     

Properties of Charmonium States in a Phenomenological Approach

We investigate the spectrum and decay rates of charmonium states within the framework of the non relativistic quark model by employing a Coulomb like potential from the perturbative one gluon exchange and the linear confining potential along with the potential derived from instanton vacuum to account for the hyperfine mass splitting of charmonium states in variational approach. We predict radiative E1, M1, two-photon, lepton and two-gluon decay rates of low lying charmonium states. An overall agreement is obtained with the experimental masses and decay widths.We have estimated the branching ratio of two gluons decaying into light hadrons.     

强电场对夸克胶子等离子体中粲夸克偶素演化的影响(英文)

在极端相对论重离子碰撞中,高速运动的重离子会产生很强的电场。在碰撞的早期电场强度大小在eE~m_π2的量级。在夸克胶子等离子体中,强电场将会对粲夸克偶素的演化产生巨大的影响。我们用含时薛定谔方程计算夸克胶子等离子体中由高速运动电荷所产生强电场对重夸克偶素演化的影响。此电场可以导致不同角动量态之间的跃迁。为了研究此效应,比较了有电场和无电场情况下J/ψ、ψ'以及χ_c的产额。计算结果表明,在碰撞早期电场会导致J/ψ解离;同时,χ_c也由电场导致的J/ψ的跃迁而产生。     

QQqq Four-Quark Bound States in Chiral SU(3) Quark Model

The possibility of QQqq heavy-light four-quark bound states has been analyzed by means of the chiral SU(3) quark model, where Q is the heavy quark (c or b) and q is the light quark (u, d, or s). We obtain a bound state for the bbnn configuration with quantum number J^P=1⁺,I=0 and for the ccnn (J^P=1⁺,I=0) configuration, which is not bound but slightly above the D^*D^* threshold (n is u or d quark). Meanwhile, we also conclude that a weakly bound state in bbnn system can also be found without considering the chiral quark interactions between the two light quarks, yet its binding energy is weaker than that with the chiral quark interactions.