Nuclear Matter in a Chiral SU(3) Quark Mean-Field Model

A quark meson coupling model based on SU(3)_L×SU(3)_R symmetry and scale invariance is proposed. The quarks and mesons get masses through symmetry broken. We apply this SU(3) chiral constituent quark model to investigating the nuclear matter at finite temperature and density. The effective baryon masses, compression modulus and hyperon potentials are all reasonable. The critical temperature of liquid-gas phase transition is also calculated in this model.     

An Extended Chiral SU(3) Quark Model

The chiral SU(3) quark model is extended by including the vector meson exchanges to describe the short range interactions. The phase shifts of NN scattering are studied in this model. Compared with the results of the chiral SU(3) quark model in which only the pseudo-scalar and scalar chiralfields are considered, the phase shifts of 1 So wave are obviously improved.     

Effective lagrangian analysis of the chiral phase transition at finite density

Introducing a finite chemical potential μ for the quark number density ψ^°ψ, we study analytically the restoration of Π^° chiral symmetry as μ is varied. In the strong coupling limit, the effective lagrangian for SU(N) gauge theories coupled to fermion fields in d dimensions is derived for all N. In the case of SU(2) we predict a second order chiral symmetry restoration phase transition, whereas for all N?3 the transition is first order. Predictions are given for the critical values of the chemical potential μ.     

Is theU(1) axial symmetry restored above theSU(L) ⊗SU(L) chiral transition?

Zeitschrift für Physik C Particles and Fields - We discuss an effective Lagrangian model in which theU (1) chiral symmetry is restored above theSU (L) ?SU (L) chiral phase transition (L...     

Neutron Star Properties in a QCD-Motivated Model

We investigate the composition and structure of neutron-, hybrid-, and quark stars within an effective QCD-motivated model of strong interaction. The hadronic phase is described within a novel chiral SU(3) model and the deconfined quark-gluon plasma phase is formulated within the bag model. The phase transition between these phases is treated as a first order transition having two conserved charges.     

Chiral symmetry restoration in baryon rich environments

Chiral symmetry restoration in an environment rich in baryons is studied by computer simulation methods in SU(2) and SU(3) gauge theories in the quenched approximation. The basic theory of symmetry restoration as a function of chemical potential is illusstrated and the implementation of the ideas on a lattice is made explicit. A simple mean field model is presented to guide one's expectations. The second order conjugate-gradient iterative method and the pseudo-fermion Monte Carlo procedure are convergent methods of calculating the fermion propagator in an environment rich in baryons. Computer simulations of SU(3) gauge theory show an abrupt chiral symmetry restoring transition and the critical chemical potential and induced baryon density are estimated crudely. A smoother transition is observed for the color group SU(2).     

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.     

Kaon cloud and baryon magnetic moments

The kaon cloud correction to the magnetic moments of the octet baryons that arises when chiral SU(2) × SU(2) symmetry is enlarged to SU(3) × SU(3) is calculated in the chiral bag model. The effect is considerably smaller than the pion cloud effect provided the bag radius is R ? 1 fm. We discuss the implications of this result on our ongoing attempt to incorporate chiral symmetry into the bag model of the nucleon and on the scale sizes associated with (nearly) massless quarks and massive quarks.     

Resonance states in an effective chiral hadronic model

With an effective chiral flavour SU(3) model we show the effect of hadronic resonances on the QCD phase diagram. We state that varying the resonance couplings to the scalar and vector fields affects the order and location of the phase transition, the possible existence of a critical end point (CEP), and the thermodynamic properties. We present (strange) quark number susceptibilities at zero baryochemical potential and at three different points at the phase transition. Comparing results to lattice QCD, we state that reasonable large vector couplings limit the phase transition to a smooth crossover ruling out a CEP.     

Chiral and deconfinement transition from correlation functions: SU(2) vs. SU(3)

We study a gauge-invariant order parameter for deconfinement and the chiral condensate in SU(2) and SU(3) Yang–Mills theory in the vicinity of the deconfinement phase transition using the Landau gauge quark and gluon propagators. We determine the gluon propagator from lattice calculations and the quark propagator from its Dyson–Schwinger equation, using the gluon propagator as input. The critical temperature and a deconfinement order parameter are extracted from the gluon propagator and from the dependency of the quark propagator on the temporal boundary conditions. The chiral transition is determined using the quark condensate as order parameter. We investigate whether and how a difference in the chiral and deconfinement transition between SU(2) and SU(3) is manifest.     

手征–夸克耦合与双重子结构

运用SU(3)手征夸克模型,系统地研究了H,d*和d＇三个六夸克体系的结构,分析了SU(3)手征场和矢量耦合禁闭势等非微扰效应对三种六夸克态能量的影响.结果发现,SU(2)手征场的耦合,对形成六夸克态是有利的,但是扩大到SU(3)手征对称,则由于这些手征场的“云”,对六夸克系统形成束缚的双重子态起到了限制的作用,矢量耦合禁闭势有利于H的形成,而对d*则相反.     

Σ-N相互作用的研究及 4ΣHe结合能的计算

基于SU(3)夸克模型， 用共振群方法研究了两种理论下的Σ-N相互作用， 得到了它们的相互作用非定域位以及Σ超子与3He壳心核的相互作用势， 并在此基础上计算了4ΣHe基态结合能。 计算结果表明， SU(3)夸克模型能较好地描述两种理论下的Σ N相互作用及Σ超子与3He壳心核的相互作用势， 同时由其得到的 4ΣHe基态结合能也与实验值基本相吻合。     

手征夸克模型下udss四夸克态的研究

在手征SU(3)夸克模型和扩展的手征SU(3)夸克模型的框架下, 用变分的方法系统地研究了同位旋为0、1, 自旋宇称为0⁺、1⁺和2⁺的udss四夸克系统6个低组态的能量. 模型的参数取自以前的工作, 它能很好地描述核子-核子散射相移以及核子-超子散射截面. S道相互作用的参数由拟合K介子和K^*介子的质量定出, 并且考虑了具有相同量子数的态之间的态混合效应. 结果表明, 同位旋为0且自旋宇称为1⁺的udss能量低于相应的K^*K^*,的阈能, 且该组态中KK^*的成分相当小, 因此该组态的宽度可能较小, 可视为一个可能的四夸克态的候选者.     

Dynamical light vector mesons in low-energy scattering of Goldstone bosons

We present a study of Goldstone boson scattering based on the flavor SU(3) chiral Lagrangian formulated with vector mesons in the tensor field representation. A coupled-channel computation is confronted with the empirical s- and p-wave phase shifts, where good agreement with the data set is obtained up to about 1.2 GeV. There are two relevant free parameters only, the chiral limit value of the pion decay constant and the coupling constant characterizing the decay of the rho meson into a pair of pions. We apply a recently suggested approach that implements constraints from micro-causality and coupled-channel unitarity. Generalized potentials are obtained from the chiral Lagrangian and are expanded in terms of suitably constructed conformal variables. The partial-wave scattering amplitudes are defined as solutions of non-linear integral equations that are solved by means of an N/D ansatz.     

Variational Cumulant Expansion on SU(2)⊗ SU(2) Chiral Model

The phase transition of the two-dimensional SU(2)⊗ SU(2) lattice chiral model has been studied by a variational cumulant expansion method. The internal energy and the specific heat are calculated to the 4th order correction and they are in good agreement with the Monte Carlo (MC) resdits. Except the behavior of the crossover region, similarities between this model and the four-dimensional SU(2) lattice gauge model are also discussed.     

Diquark condensation in dense adjoint matter

We study SU(2) lattice gauge theory at non-zero chemical potential with one staggered quark flavor in the adjoint representation. In this model the fermion determinant, although real, can be both positive and negative. We have performed numerical simulations using both hybrid Monte Carlo and two-step multibosonic algorithms, the latter being capable of exploring sectors with either determinant sign. We find that the positive determinant sector behaves like a two-flavor theory, with the chiral condensate rotating into a two-flavor diquark condensate for , implying a superfluid ground state. Good agreement is found with analytical predictions made using chiral perturbation theory. In the ‘full’ model there is no sign of either onset of baryon density or diquark condensation for the range of chemical potentials we have considered. The impact of the sign problem has prevented us from exploring the true onset transition and the mode of diquark condensation, if any, for this model. Received: 28 September 2001 / Published online: 23 November 2001     

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.     

Baryon masses in the broken chiral quark bag

We consider corrections to the baryon mass spectrum when the u and the d quarks are massive, i.e. the pion acquires its physical mass. This breaks explicitely the SU(2) chiral symmetry of the chiral quark model. We also include the massive K- and η-mesons to examine the broken SU(3) and SU(3) × SU(3) symmetries. These small corrections do improve the mass spectrum.     

Pion phase transition in chiral symmetry breaking model

We show that in the non-linear σ-model, we have a phase transition when the isospin chemical potential is equal to the meson mass. This result is shown to be generally true in the SU(2)×SU(2) symmetry breaking model.     

KN Phase Shifts in Chiral SU（3） Quark Model

The isospin I = 0 and I = 1 kaon-nucleon S and P partial waves phase shifts have been studied in the chiral SU(3) quark model by solving a resonating group method equation. When the parameters of the chiral fields are taken in a reasonable region, the numerical results of S-wave are in good agreement with the experimental data, and the P-wave phase shifts can also be explained qualitatively by the calculation of only central force considered.