论文标题
研究三中子和连续态的研究
Study of three-neutron bound and continuum states
论文作者
论文摘要
通过数值计算，使用FADDEEV三体形式主义来研究三个中子（$ 3N $）的系统，以实现现实的核定核子（NN）电位。从$ {}^3 \ mathrm {h} $过渡到$ 3n $ continuum state的响应功能，由ISOSPIN激发操作员计算出来，从中找不到$ 3N $共振状态的证据。检查了从界面能量中推断出$ 3N $能量的不同方法，对NN电位具有更具吸引力的效果。尽管NN电位增强或三体电位具有吸引力的推断，但不存在$ 3N $共振状态，而外部诱捕电位则导致正$ 3N $能量，这可能被视为共鸣状态。发现这种矛盾是由于陷阱方法的一般缺陷所致。
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.
