Critical Stability of Three-Body Relativistic Bound States with Zero-Range Interaction

Critical Stability of Three-Body Relativistic Bound States with Zero-Range Interaction
复制标题

零程相互作用三体相对论束缚态的临界稳定性

DOI：
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发表时间：
2003
期刊：
影响因子：
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通讯作者：
J. Carbonell
J. Carbonell
中科院分区：
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文献类型：
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作者：
V. Karmanov;J. Carbonell

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摘要.对于零程相互作用，给定两体束缚态的质量M2，计算了相对论性三体系统的质量M3。我们发现，只有当M2大于临界值Mc（玻色子为1.43 m，费米子为1.35 m，m为组成质量）时，三体系统才存在。当M2=Mc时，质量M3变为零，当M2 < Mc时，不存在具有M3的真实的值的解。
Abstract.For the zero-range interaction providing a given mass M2 of the two-body bound state, the mass M3 of the relativistic three-body system is calculated. We have found that the three-body system exists only when M2 is greater than a critical value Mc (≈ 1.43 m for bosons and ≈ 1.35 m for fermions, m being the constituent mass). For M2=Mc the mass M3 turns into zero and for M2 < Mc there is no solution with real value of M3.