论文标题
使用有效范围和$δ$方法从实验p- $α$散射相移得出的5LI共振的能量和ANC。
The energies and ANCs for 5Li resonances deduced from experimental p-$α$ scattering phase shifts using the effective-range and $Δ$ methods
论文作者
论文摘要
最近，已经制定了一种新的$δ$方法，用于推论相移数据的能量和渐近归一化系数（ANC），并应用于共振状态。这与仅拟合ERF的核部分的常规有效范围函数（ERF）方法不同。它也不同于RamírezSuárez和Sparenberg（请参见下面参见）为绑定状态提出的方法，该方法还命名为$δ$方法，其中极点条件定义了等式。 $δ_l= 0 $（$δ_l$是ERF中仅由散射相移决定的功能）。在这里，标准的极点条件，包括相关方程中的库仑部分，用于共振状态。已经表明，ERF方法不适用于大电荷碰撞核。此外，即使对于较低的电荷，也不清楚ERF方法的结果足够准确。库仑部分形成背景，使ERF能量依赖性平滑。因此，需要查找何时ERF方法不准确，这需要通过$δ$方法重新计算一些已发表的结果。该项目已经在最近的一篇论文中开始，以介绍$α$ - $α$散射的共鸣。在这里，使用$δ_l$ - 功能配件应用于实验$ p $ - $ {}^4 $ He在$ p_ {3/2} $和$ p_ {1/2} $ resonance状态中散射相移数据。将计算结果与ERF方法前面获得的结果进行了比较。主要变化涉及共振能量和宽度。
Recently a new $Δ$ method for deducing the energy and asymptotic normalization coefficient (ANC) from phase-shift data has been formulated and applied to resonance states. This differs from the conventional effective-range function (ERF) method by fitting only the nuclear part of the ERF. It also differs from the method which was proposed for bound states by Ramírez Suárez and Sparenberg (see Ref. below) which also named the $Δ$ method where a pole condition defines by the Eq. $Δ_l=0$ ($Δ_l$ is the function in the ERF determined only by the scattering phase shift). Here the standard pole condition, including the Coulomb part into the relate equation, is used for a resonant state. It has been shown that the ERF method does not work for large-charge colliding nuclei. Moreover, even for lower charges it is not clear that the results of the ERF method are accurately enough. The Coulomb part forms a background, which smooths an ERF energy dependence. Therefore, one needs to find when the ERF method becomes inaccurate and this requires recalculating some published results by the $Δ$ method. This project has already been started in a recent paper for resonances in the $α$-$α$ scattering. Here this method is applied using the $Δ_l$-function fittings to the experimental $p$-${}^4$He scattering phase-shift data in the $P_{3/2}$ and $P_{1/2}$ resonance states. The calculation results are compared with those obtained earlier by the ERF method. The main changes concern resonance energy and width.
