Quasi-Three Body Systems: Properties and Scattering

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• 作者：M. Ya. Amusia
• 刊名：Few-Body Systems
• 出版年：2017
• 出版时间：March 2017
• 年：2017
• 卷：58
• 期：2
• 全文大小：
• 刊物类别：Physics and Astronomy
• 刊物主题：Particle and Nuclear Physics; Nuclear Physics, Heavy Ions, Hadrons; Atomic, Molecular, Optical and Plasma Physics;
• 出版者：Springer Vienna
• ISSN：1432-5411
• 卷排序：58

文摘

We investigate systems of three mutually interacting particles with masses \( m_e\), \(m_\mu \), M that obey the following inequality \(m_e \ll m_\mu \ll M\). Then the three-body problem reduces to the two-body scattering or structure of \(m_e\) in the field of the pseudo-nucleus \(m_\mu M\). We calculate analytically the properties of considered systems, such as the scattering cross-sections, hyperfine splitting, Auger decay of exited states and Lamb shits, presenting them as expansions in powers of the parameter \(\beta = m_e/m_\mu \ll 1\).