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arXiv 0708.3285hep-phhep-ex
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是否存在$c\bar c n\bar n$绑定状态?

Do $c\bar c n\bar n$ bound states exist?

J. Vijande, E. Weissman, N. Barnea, A. Valcarce

摘要:

在组分夸克模型的框架下研究了四夸克系统$c\bar c n\bar n$.利用不同类型的夸克-夸克势,用超球谐方法求解了四体薛定谔方程。探索不同Isosin配置的低层$J^{PC}$态,没有发现四夸克束缚态。特别感兴趣的是X(3872)可能的四夸克结构。我们排除了这种粒子是一个紧凑的四夸克系统的可能性,除非额外的相关性,无论是在双夸克的形式或在相互作用势的水平,没有考虑在简单的夸克模型没有贡献。

英文摘要:

The four--quark system $c\bar c n\bar n$ is studied in the framework of the constituent quark model. Using different types of quark-quark potentials, we solve the four--body Schrödinger equation by means of the hyperspherical harmonic formalism. Exploring the low laying $J^{PC}$ states for different isospin configurations no four-quark bound states have been found. Of particular interest is the possible four-quark structure of the X(3872). We rule out the possibility that this particle is a compact tetraquark system, unless additional correlations, either in the form of diquarks or at the level of the interacting potential, not considered in simple quark models do contribute.

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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