A new bound state Δ method for finding an asymptotic normalization coefficient (ANC) is proposed. This is valid, while the standard effective-range function (ERF) $K_l(k^2)$ method does not work when the product of colliding particles charges increases. The denominator of the strict expression of the re-normalized scattering amplitude ${\tilde{f}}_l$ includes the factor $d_l(E)={\mathrm{\Delta }}_l(E)+h_{\mathrm{r}}(E)-h(\eta )$, where $\eta =1/a_{\mathrm{B}}k$, $a_{\mathrm{B}}$ is the Bohr radius. In the physical region, the Coulomb term $h_{\mathrm{r}}=\mathrm{Re}h(\eta )$. So an analytical continuation of $h_{\mathrm{r}}(E)$ from the physical region to $E\le 0$ can be found by fitting $h_{\mathrm{r}}(E)$ for $E\ge 0$. The related analytical continuation of $h(\eta )$ consists in a simple sign change, $E\to -E$, using an explicit dependence of $h(\eta )$ on E. This is important that for $E\le 0$, $\mathrm{abs}(\mathrm{\Delta }h)=\mathrm{abs}(h-h_{\mathrm{r}})=0$ at $E=0$, and it increases when $\mathrm{abs}(E)$ does. Thus, a new real equation, $d_l(-\epsilon )=0$, is obtained for a binding energy ε. It is applied to find a residue W of ${\tilde{f}}_l$ at the bound state pole $E=-\epsilon$, the nuclear vertex constant (NVC) and (ANC). The Coulomb-nuclear phase shift ${\delta }_l^{cs}$, $\cot {\delta }_l^{cs}$ and a finite limit of the nuclear part ${\mathrm{\Delta }}_l(k^2)$ of $K_l(k^2)$ are also derived for an arbitrary orbital momentum l when $E\to 0$. It is shown that $\cot {\delta }_l^{cs}$ has an essential singularity at zero energy, but ${\mathrm{\Delta }}_l(k^2)$ does not. The explicit finite limit of ${\mathrm{\Delta }}_l(k^2)$ when $E\to 0$ is found using the expression for $K_l(k^2)$. These results are in agreement with those for the S-wave scattering, which are widely accepted. The ANCs for the ground and first excited bound states for the vertex ${}^7\mathrm{Be}\leftrightarrow {}^3\mathrm{He}{}^4\mathrm{He}$ are calculated using the proposed new method, and are compared with those for the approximate method when $d_l(E)={\mathrm{\Delta }}_l(E)$ proposed by Ramírez Suárez and Sparenberg (2017). The fit of ${\mathrm{\Delta }}_l(E)$ is found from the experimental phase-shift input data and the additional equation $d_l(-\epsilon )=0$.

提出了一种寻找渐近归一化系数（ANC）的新的束缚态Δ方法。这是有效的，而标准有效范围功能（ERF）${ķ}_{升}（{ķ}^{\mathrm{2个}}）$当碰撞粒子电荷的乘积增加时，该方法不起作用。重新归一化散射幅度严格表达式的分母${\stackrel{〜}{F}}_{升}$ 包括因素 $d_{升}（E）={\mathrm{\Delta }}_{升}（E）+H_{\mathrm{[R}}（E）-H（\eta ）$， 在哪里 $\eta =\mathrm{1个}/{\mathrm{一种}}_{\mathrm{乙}}ķ$， ${\mathrm{一种}}_{\mathrm{乙}}$是玻尔半径。在物理区域，库仑项$H_{\mathrm{[R}}=\mathrm{回覆}H（\eta ）$。因此，分析的延续$H_{\mathrm{[R}}（E）$ 从物理区域到 $E\le 0$ 可以通过拟合找到 $H_{\mathrm{[R}}（E）$ 为了 $E\ge 0$。的相关分析延续$H（\eta ）$ 包括一个简单的标志更改， $E\to -E$，使用明确的依赖关系 $H（\eta ）$在E上。这很重要$E\le 0$， $\mathrm{腹肌}（\mathrm{\Delta }H）=\mathrm{腹肌}（H-H_{\mathrm{[R}}）=0$ 在 $E=0$，并且当 $\mathrm{腹肌}（E）$做。因此，一个新的实数方程，$d_{升}（-\epsilon ）=0$对于束缚能ε，获得α。它适用于找到一个残留W¯¯的${\stackrel{〜}{F}}_{升}$ 在束缚态极点 $E=-\epsilon$，核顶点常数（NVC）和（ANC）。库仑-核相移${\delta }_{升}^{Cs}$， $\mathrm{婴儿床}{\delta }_{升}^{Cs}$ 和核部分的有限极限 ${\mathrm{\Delta }}_{升}（{ķ}^{\mathrm{2个}}）$ 的 ${ķ}_{升}（{ķ}^{\mathrm{2个}}）$也可以针对任意轨道动量l导出，当$E\to 0$。结果表明$\mathrm{婴儿床}{\delta }_{升}^{Cs}$ 在零能量处具有必不可少的奇点，但 ${\mathrm{\Delta }}_{升}（{ķ}^{\mathrm{2个}}）$才不是。的显式有限极限${\mathrm{\Delta }}_{升}（{ķ}^{\mathrm{2个}}）$ 什么时候 $E\to 0$ 使用以下表达式找到 ${ķ}_{升}（{ķ}^{\mathrm{2个}}）$。这些结果与被广泛接受的S波散射的结果一致。顶点的基态和第一激发束缚态的ANC${}^7\mathrm{是}\leftrightarrow {}^3\mathrm{他}{}^4\mathrm{他}$ 使用建议的新方法进行计算，并与近似方法进行比较 $d_{升}（E）={\mathrm{\Delta }}_{升}（E）$由RamírezSuárez和Sparenberg（2017）提出。适合度${\mathrm{\Delta }}_{升}（E）$ 从实验相移输入数据和附加方程中找到 $d_{升}（-\epsilon ）=0$。