非正交基中的概率:四夸克系统
Probabilities in nonorthogonal basis: Four--quark systems
摘要:
四夸克态可能以无色介子-介子分子的形式存在,也可能以具有两体有色组分的紧致系统的形式存在。本文导出了任意四夸克波函数用非正交色单态矢量展开的解析方法。使用这种扩展,我们开发了必要的形式主义,以评估与任意四夸克波函数的物理组件的概率。讨论了它在表征束缚和非束缚四夸克态如介子-介子、分子和紧致系统中的应用
英文摘要:
Four-quark states may exist as colorless meson-meson molecules or compact systems with two-body colored components. We derive an analytical procedure to expand an arbitrary four--quark wave function in terms of nonorthogonal color singlet--singlet vectors. Using this expansion we develop the necessary formalism to evaluate the probability of physical components with an arbitrary four-quark wave function. Its application to characterize bound and unbound four--quark states as meson-meson, molecular or compact systems is discussed
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