Two-body Dirac equations for meson spectroscopy.
Two-body Dirac equations for meson spectroscopy.
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DOI：
10.1103/physrevd.37.1982
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发表时间：
1988-04
期刊：
影响因子：
--
通讯作者：
Crater;Van Alstine P
中科院分区：
文献类型：
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作者：
Crater;Van Alstine P
最近，我们利用狄拉克的约束力学和超对称性导出了两个耦合相容的16分量狄拉克方程，它们控制着两个通过世界标量势和矢量势相互作用的相对论自旋粒子。它们精确地归结为四个解耦的四分量局域类薛定谔方程，它们具有依赖于能量的准势Phi/subw/。它们的非微扰协变结构(导致与场论方法一致的微扰展开和O(1/c/sup 2/)展开)非常适合于唯象应用，其中势与相对论场论有一些联系。(这些方程对于产生正确的光谱的单重态正电子来说是精确可解的。在这里，我们使用我们的方程将各种关于重夸克静态势的单参数或双参数模型的有效性推广到相对论轻夸克区域。这些模型包括Adler和Piran的前导对数模型(对于所有长度尺度)，以及由依赖于味道的真空修正修正的Richardson势。
Recently we used Dirac's constraint mechanics and supersymmetries to derive two coupled compatible 16-component Dirac equations that govern two relativistic spinning particles interacting through world scalar and vector potentials. They reduce exactly to four decoupled four-component local Schroedinger-like equations with energy-dependent quasipotentials Phi/sub w/. Their nonperturbative covariant structure (leading to perturbative and O(1/c/sup 2/) expansions that agree with field-theoretic approaches) suit these equations ideally for phenomenological applications in which the potentials have some links with relativistic field theories. (These equations are exactly solvable for singlet positronium producing a spectrum correct through order ..cap alpha../sup 4/.) Here we use our equations to extend the validity of various one- or two-parameter models for the heavy-quark static potential to the relativistic light-quark regime. These models include the leading-log model (for all length scales) of Adler and Piran and Richardson's potential modified by flavor-dependent vacuum corrections.