Universality in the Neutron–an class="a-plus-plus inline-equation id-i-eq1"> an class="a-plus-plus equation-source format-t-e-x" xmlns:search="http://marklogic.com/appservices/search">\(^{\mathbf {19}}\)an> an>C Scattering Using Finite-Range Separable Interactions

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• 作者：M. A. Shalchi ; M. T. Yamashita ; M. R. Hadizadeh ; T. Frederico…
• 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 report a study on the low-energy properties of the elastic s-wave scattering of a neutron (n) in the carbon isotope \(^{19}\)C near the critical condition for the occurrence of an excited Efimov state in the three-body n–ass="EmphasisTypeItalic ">n–an class="InlineEquation" id="IEq5">\(^{18}\)C system. For the separation energy of the two halo neutrons in \(^{20}\)C we use the available experimental data. We also investigate to which extent the universal scaling laws, strictly valid in the zero-range limit, will survive when using finite-range interactions. By allowing to vary the n–an class="InlineEquation" id="IEq7">\(^{18}\)C binding energy, a scaling behavior for the real and imaginary parts of the s-wave phase-shift \(\delta _0\) is verified, emerging some universal characteristics given by the pole-position of \(k\cot (\delta _0^R)\) and effective-range parameters.