关于标量介子的研究

基于a₀(980)和D^*_sJ(2317)属于1 ³P₀介子多重态这个主要假定, 在准线性Regge轨迹方案下估计了1 ³P₀介子多重态成员的质量. 在介子-介子混合的框架下,建议a₀(980), K^*₀(1052), f₀(1099)和f₀(530)组成基态标量介子九重态, 并且f₀(1099)主要由ss组成,而f₀(530)主要是uu+dd. 这些态可能分别对应已观察到的标量态a₀(980), κ(900), f₀(980)和f₀(600)/σ. 另外, 在胶球为主的图像下, 估计基态标量胶球的质量大约为1340MeV. 给出的结果与其他不同方法给出的结果是一致的.     

夸克和弦模型中非奇异轻介子的类雷吉谱(英文)

本工作重新考察了相对论弦模型和准相对论夸克模型中轻介子的类雷吉谱。基于辅助场技术,提出了非奇异轻介子的一个解析质量公式,由此推导出了一个准线性的Regge-Chew-Frautschi轨迹关系,并将此关系用相应介子的实验数据（PDG）进行了检验。检验结果表明,和实验观测数据比较,夸克模型对介子质量的预言与弦模型的相符,但在角动量较大时,夸克模型的预言稍微优于弦模型。We revisit the Regge-like spectra of light mesons in the relativistic string model and the simirelativistic quark model. An analytical mass formula is proposed for light mesons based on the auxiliary field technique, and a quasi-linear Regge-Chew-Frautschi plot with flavor dependence is derived and verified with the experimental data(PDG) for light mesons.The results show that the quark model predictions for meson masses agree with those of the string model, but are slightly better when the angular momentum is relatively large as compared with the observed data.     

Sigma Terms and Strangeness Contents of Baryon Octet in Modified Chiral Perturbation Theory

In the frame work of chiral perturbation theory, a modified effective Lagrangian for meson-baryon system is constructed, where the SU（3） breaking effect for meson is considered. The difference between physical and chiral limlt decay constants is taken into account. Calculated to one 1ooi） at O（p^3）, the sigma terms and strangeness contents of baryon octet are obtained.     

基于手征微扰理论构建相对论重子-重子相互作用(英文)

介绍了两个近期基于协变手征微扰理论构建领头阶核子-核子和超子-核子相互作用的工作。理论中未知的低能常数通过拟合核子-核子和超子-核子散射实验数据确定。分析发现,在对散射数据的描述上,领头阶相对论手征力可以媲美次领头阶非相对论手征核力。研究表明,构建相对论手征重子-重子相互作用技术上是可行的。得到的相互作用不仅可以为相对论核结构及反应研究提供重要的理论输入,而且可以进一步加深对低能强相互作用的认识。In this paper, we report on two recent studies of relativistic nucleon-nucleon and hyperonnucleon interactions in covariant chiral perturbation theory, where they are constructed up to leading order. The relevant unknown low energy constants are fixed by fitting to the nucleon-nucleon and hyperon-nucleon scattering data. It is shown that these interactions can describe the scattering data with a quality similar to their next-to-leading order non-relativistic counterparts. These studies show that it is technically feasible to construct relativist baryon-baryon interactions, and in addition, after further refinements, these interactions may provide important inputs to ab initio relativistic nuclear structure and reaction studies and help improve our understanding of low energy strong interactions.     

Scalar mesons and glueballs in D_p-D_q hard-wall models

We investigate the light scalar mesons and glueballs in the Dp-Dq hard-wall models, including D3-Dq, D4-Dq, and D6-Dq systems. It is found that only in the D4-D6 and D4-D8 hard-wall models are the predicted masses of the qˉq scalar meson f0 scalar glueball consistent with their experimental or lattice results. This indicates that D4-D6 and D4-D8 hard-wall models are the favorite candidates of the realistic holographic QCD model.     

Scalar mesons and glueballs in Dp-Dq hard-wall models

We investigate the light scalar mesons and glueballs in the Dp-Dq hard-wall models, including D3-Dq, D4-Dq, and D6-Dq systems. It is found that only in the D4-D6 and D4-Ds hard-wall models are the predicted masses of the clq scalar meson fo scalar glueball consistent with their experimental or lattice results. This indicates that D4-D6 and D4-Ds hard-wall models are the favorite candidates of the realistic holographic QCD model.     

Trace Formulae of Characteristic Polynomial and Cayley-Hamilton＇s Theorem, and Applications to Chiral Perturbation Theory and General Relativity

By using combinatorics, we give a new proof for the recurrence relations of the characteristic polynomial coefficients, and we further obtain an explicit expression for the generic term of the coefficient sequence, which yields the trace formulae of the Cayley-Hamilton＇s theorem with all coefficients explicitly given. This implies a byproduct, a complete expression for the determinant of any finite-dimensional matrix in terms of the traces of its successive powers. And we discuss some of their applications to ehiral perturbation theory and general relativity.     

QCD类规范的南部模型中费米子与动力学产生的介子的密度效应

将两味(N_f=2)情况下的QCD类规范的南部模型应用到核物质中并得到了费米子的能隙方程.与四费米子相互作用部分相比,胶子部分对费米子质量约有1/4的贡献.手征序参量与QCD求和规则所预言的结果符合得很好.基于能隙方程,得到了标量与赝标量介子的一系列动力学性质,理论结果很好地符合了实验.     

Scalar mesons and glueballs in D_p-D_q hard-wall models

We investigate the light scalar mesons and glueballs in the Dp-Dq hard-wall models, including D3-Dq, D4-Dq, and D6-Dq systems. It is found that only in the D4-D6 and D4-D8 hard-wall models are the predicted masses of the qˉq scalar meson f0 scalar glueball consistent with their experimental or lattice results. This indicates that D4-D6 and D4-D8 hard-wall models are the favorite candidates of the realistic holographic QCD model.     

Semileptonic Decays of Heavy Mesons to Light Pseudoscalar Mesons in the BS Formalism

The decay processes from heavy to light pseudoscalar mesons such as π, K, η,η' are studied in a relativistic constituent quark model based on the BS formalism. It is emphasized that the negative energy projector operators's contributions in the BS wavefunctions for light pseudoscalar mesons have to be considered. By taking into account these contributions, the previously encountered difficulties in calculating the decay constants and form factors are found to be removed. A11 the form factors for transitions such as D→π, D→K, D_s→K, D_s→η, D_s→η', B→π, B_s→K are estimated and the branching ratios for these semileptonic decays are calculated. The results of our calculations are consistent with experimental values.     

夸克模型下的轻介子质量谱

最近,文献[1]将辅助场方法应用于准相对论性夸克模型中,获得了一个解析的非奇异轻介子质量公式。本文将这种方法推广到奇异轻介子的情况,得到了一个味道依赖的轻介子质量公式。结果表明,质量公式预言的低激发态质量谱与实验值吻合良好,平均误差在30 MeV左右。质量公式预言的高激发态质量谱和其他文献（特别是弦模型）的计算相比,也符合较好。Recently, with the help of auxiliary field method, Ref.[1] obtains an analytical mass formula for nonstrange light mesons in quasi-relativistic quark model. In this work, we generalize this method to the case of strange light mesons, and obtain a mesonic mass formula which is flavor-dependent. The results show that the mass of low excitations given by the mass formula are in good agreement with the experimental data and the average error is around 30 MeV. Our mass predictions for the high states also agree well with the other calculations in the literatures, particularly, the string model calculations.     

Masses and Sigma Terms of Pentaquarks in Chiral Perturbation Theory

Assuming that the recently θ＋ and other exotic resonances belong to the pentaquark i0 of SU（3）I with J^P = 1/2, we constructed a relativistic effective lagrangian in the frame work of baryon chiral perturbation theory. The masses of pentaquarks under isospin symmetry is determined by calculating the propagator to one loop, where the extended on-mass-shell renormalization scheme is applied. Using the experimental data for masses of θ＋, Ξ and N, we estimated the mass of Σ and the a terms.     

Masses and Sigma Terms of Pentaquarks in Chiral Perturbation Theory

[1]LEPS Collaboration (T.Nakano,et al.),Phys.Rev.Lett.91 (2003) 012002. [2]Sonia Kabana,J.Phys.G 31 (2005) S1155,hepex/0503019. [3]K.Hicks,Prog.Part.Nucl.Phys.55 (2005) 647,hepex/0504027. [4]T.Nakano,et al.,(LEPS),Phys.Rev.Lett.91 (2003)012002,hep-ex/0301020. [5]V.V.Barmin,et al.,(DIANA),Phys.Atom.Nuclei 66(2003) 1715,hep-ex/0304040. [6]J.Barth,et al.,(SAPHIR),Phys.Lett.B 572 (2003) 127,hep-ex/0307083. [7]NA49 Collaboration (C.Alt,et al.),Phys.Rev.Lett.92(2004) 042003. [8]S.Kabana,et al.,STAR Coll.,Proceedings of the 20th Winter Workshop in Nuclear Dynamics,Jamaica,March (2004),hep-ex/0406032. [9]V.Kouznetsov,et al.,GRAAL Collaboration,Contribution to the Workshop Pentaquarks,Trento,10-12 February,(2004),http://www.tp2.ruhr-uni-bochum.de/talks/trento04/. [10]Shi-Lin Zhu,Int.J.Mod.Phys.A 19 (2004) 3439,hepph/0406204. [11]S.Weinberg,Physica A 96 (1979) 327. [12]J.Gasser and H.Leutwyler,Annals Phys.158 (1984) 142. [13]J.Gasser and H.Leutwyler,Nucl.Phys.B 250 (1985)465. [14]J.Gasser,M.E.Sainio,and A.Svarc,Nucl.Phys.B 307(1988) 779. [15]Stefan Scherer and Matthias R.Schindler,hep-ph/0505-265. [16]T.Fuchs,J.Gegelia,G.Japaridze,and S.Scherer,Phys.Rev.D 68 (2003) 056005. [17]B.C.Lehnhart,J.Gegelia,and S.Scherer,J.Phys.G 31(2005) 89,hep-ph/0412092. [18]Y.R.Liu,A.Zhang,P.Z.Huang,W.Z.Deng,X.L.Chen,and Shi-Lin Zhu,Phys.Rev.D 70 (2004) 094045,hepph/0404123. [19]P.Ko,Jungil Lee,Taekoon Lee,and Jae-hyeon Park,Phys.Lett.B 611 (2005) 87-92,hep-ph/0312147. [20]S.Weinberg,The Quantum Theory of Fields,Vol.Ⅱ,Cambridge University Press,Cambridge (1996). [21]Aneesh V.Manohar,hep-ph/9606222. [22]J.Gasser and M.E.Sainio,hep-ph/0002283.     

Periodic Distribution of Galaxies in Generalized Scalar Tensor Theory

With the help of Nordtvedt's scalar tensor theory an exact analytic model of a non–minimally coupled scalar field cosmology in which the gravitational coupling G and the Hubble factor H oscillate during the radiation era is presented. A key feature is that the oscillations are confined to the early stages of the radiation dominated era with G approaching its present constant value while H becoming a monotonically decreasing function of time. The Brans Dicke parameter is chosen to be a function of Brans Dicke scalar field so that no conflict with observational constraints regarding its present value arises.     

Chiral unitary theory: Application to nuclear problems

In this talk we briefly describe some basic elements of chiral perturbation theory, xPT, and how the implementation of unitarity and other novel elements lead to a better expansion of the T-matrix for meson-meson and meson-baryon interactions. Applications are then done to the ππ interaction in nuclear matter in the scalar and vector channels, antikaons in nuclei and K ⁻ atoms, and how the φ meson properties are changed in a nuclear medium.     

U(2)L×U(2)R介子手征理论中对衰变ρ→ππ的重求和研究

把U(2)_L×U(2)_R介子手征理论中对矢量介子的O(p⁴)计算用重求和方法进行了改进,并重新研究了衰变ρ→ππ.由此得到了f_ρππ(p²)直到O(p^∞)的完整表达式,并基于收敛性条件和么正性条件给出了一个重要的非微扰结论.     

Some Bianchi Type Cosmological Models in Bimetric Theory

It is shown that anisotropic spatially homogeneous Bianchi types III and VI₀ cosmological models do not exist in Rosen's [N. Rosen: Gen. Rel. Grav. 4 (1973) 435] bimetric theory when the source of gravitation is governed by either perfect fluid or mesonic perfect fluid. Hence the vacuum models are constructed.