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arXiv 0902.1739hep-ph
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具有动量依赖相互作用的KKbar分子

KKbar molecules with momentum-dependent interactions

R. H. Lemmer

摘要:

结果表明,由标准SU_V(3)× SU_A(3)相互作用拉格朗日量通过矢量介子交换产生动量相关的K ~-反K ~-相互作用,在坐标空间中产生一个非定域势,该势可以不经近似地引入包含径向相关的K ~-有效质量的非相对论Bethe-Salpeter波动方程,该方程出现在完全对称的动能算符中,除了局部电势之外。本文给出了f_0(980)和a_0(980)的质量和衰变宽度的估计值,它们被认为是同位旋为0和1的KKbar分子,以及K^+K^-原子束缚态(kaonium)的质量和衰变宽度,并与以前类似性质的研究进行了比较。有人认为,没有一个更好的强子形状因子的知识,它是不可能区分分子与基本粒子模型的轻标量介子的结构。

英文摘要:

It is shown that the momentum-dependent kaon-antikaon interactions generated via vector meson exchange from the standard SU_V(3) x SU_A(3) interaction Lagrangian lead to a non-local potential in coordinate space that can be incorporated without approximation into a non-relativistic version of the Bethe-Salpeter wave equation containing a radial-dependent effective kaon mass appearing in a fully symmetrized kinetic energy operator, in addition to a local potential. Estimates of the mass and decay widths of f_0(980) and a_0(980), considered as KKbar molecules of isospin 0 and 1, as well as for K^+K^- atomic bound states (kaonium) are presented, and compared with previous studies of a similar nature. It is argued that without a better knowledge of hadronic form factors it is not possible to distinguish between the molecular versus elementary particle models for the structure of the light scalar mesons.

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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