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arXiv 1401.2589hep-ph
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“夸克禁闭”与协变强子分类方案的演化

"Quark Confinement" and Evolution of Covariant Hadron-Classification Scheme

Shin Ishida

摘要:

将非相对论性分类推广到协变分类是强子谱研究中亟待解决的问题。这是我们最近的研究成果。1)简述我们在运动学框架上的扩展方法:从SU(2)_{sigma} $\otimes$ O(3)_{L}到U(4)_{DS,m}(具有静态么正对称的Dirac旋量张量空间)。SU(2)_{m}是一个新的质量-反射对称。反映Q.C.的情况)$\otimes O(2)_{r\perp v}$(2维内部空间矢量r垂直于助推速度v,嵌入O(3,1)_{Lorentz})。也被带入了COV。设计了迄今为止被忽视的手征对称。QCD/标准规模型的研究2)适时τ-量子力学在量子力学中的应用发展了Comp.强子场的系统和量子化。在Lorentz-Inv中执行与常规程序类似的程序。粒子坐标系(伽利略惯性坐标系,v=const),它变成了洛伦兹-Cov。观察员F.,当v=0τ-Q.M.的一个显著特征是另一个只涉及未来发展,引出了交叉规则,另一个还引出了手征夸克(JP=(1/2)-)和保利夸克(JP=(1/2)+)的存在,它们是SU(2)_m-对称的起源,导致新的外来物种的存在。3)tau-Q.M.指导的强子谱学演化框架总结如下:特别地,给出了qqbar介子系统中的Regge轨迹,由$M^2$与$\hat{N}(n,l)$ ; $M^2=M_{0}^2+N Ω$(N=2n+1),Comp.强子的内禀自旋J=S,其中轨道l只对N有贡献。4)新分类本文将一个新的方案应用于Bottomonium系统的唯象学,结果显示了显著的事实,包括N.R.与重夸克自旋翻转机制相关的方案似乎在我们的方案中消失了。这似乎表明,迄今为止,诉诸N.R.方案获得的唯象知识,应该从协变的一个重新审查。

英文摘要:

The extension of Non-Relativistic-to-Covariant classification scheme seems to be an urgent problem in the Hadron Spectroscopy. Here are given the recent results of our research. 1) Brief history of our way of the extension on Kinematical Frameworks: from SU(2)_{sigma} $\otimes$ O(3)_{L} to U (4)_{DS,m} (Tensor-space of Dirac Spinor with the static unitary symm. SU(2)_{m}, which is new Mass-Reversal symm. reflecting the situation of Q.C.) $\otimes O(2)_{r\perp v}$ (2-dim. internal spatial-vector r vertical to Boost-velocity v, embedded in the O(3,1)_{Lorentz}). Also is brought in Cov. scheme the thus far Overlooked Chirality Symm. of QCD/Stand. Gauge Model. 2) Propertime tau-Quantum Mechanics for Conf. Q. System and Quantization of Comp. Hadron field is developed. The similar to conventional procedures are performed in Lorentz-Inv. Particle Frame (Galilean Inertial Frame with v=const) which becomes Lorentz-Cov. Observer F., when v=0. The one notable feature of the tau-Q.M. is concerned only future-development, inducing the Crossing Rule; the other also inducing Existence of the Chiral-Quark (JP=(1/2)-) in addition to Pauli-Quark (JP=(1/2)+), which is Origin of SU(2)_m-symm., leading to Existence of New-Exotics. 3) Evolved framework of hadron spectroscopy guided by tau-Q.M. is summarized: Especially, "Regge Trajectories", in qqbar meson system are given by $M^2$ vs. $\hat{N}(n,l)$; $M^2=M_{0}^2+N Ω$ (N=2n+l), Intrinsic spin of Comp. Hadrons J=S, where Orbital l contributes only to N. 4) New Classif. scheme is applied to Phenomenology of Bottomonium System.As a result is shown Remarkable Fact, including a serious Problem in the N.R. scheme, concerned on Spin-Flip Mechanism of Heavy Quarks, seems to disappear in our scheme. This seems to suggest that the phenomenological knowledge,thus far obtained resorting on N.R.scheme, should be reexamined from the covariant one.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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