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arXiv 2008.10980nucl-thnucl-ex
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三中子束缚态与连续态研究

Study of three-neutron bound and continuum states

Souichi Ishikawa

AI总结:

本研究利用Faddeev三体形式和现实NN势数值研究三中子系统,通过响应函数计算未发现三中子共振态证据,对比多种能量外推方法发现俘获势方法的矛盾结果源于其固有缺陷。

摘要:

本研究采用Faddeev(法捷耶夫)三体形式,结合现实核子-核子(NN)势,通过数值计算对三中子($3n$)系统展开研究。计算了由同位旋激发算符引发的${}^3\rm H$到$3n$连续态跃迁的响应函数,未发现$3n$共振态的证据。研究检验了多种从束缚态能量外推$3n$能量的方法,这些方法均在NN势中引入了额外吸引效应。其中,通过增强NN势或三体势引入吸引效应的外推结果表明$3n$共振态不存在;而通过外部俘获势的外推得到了正的$3n$能量,该能量可被视为共振态。研究发现,这一矛盾源于俘获方法的普遍缺陷。

英文摘要:

The three-neutron ($3n$) system is studied by numerical calculations with the Faddeev three-body formalism for a realistic nucleon-nucleon (NN) potential. A response function for the transition from ${}^3\mathrm{H}$ to $3n$ continuum states by an isospin excitation operator is calculated, from which no evidence of $3n$ resonance state is found. Different methods to extrapolate the $3n$ energy from bound state energies with an extra attractive effect to the NN potential are examined. While extrapolations with attractive effects by enhanced NN potentials or three-body potentials result the non-existence of $3n$ resonance states, one by external trapping potentials leads to a positive $3n$ energy, which may be considered as a resonance state. It is found that this contradiction is due to a general defect of the trapping method.

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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