Two sets of data for dα scattering are analysed to determine the parameters of the bound and resonant states of the nuclear system ${}^6\mathrm{Li}$ with quantum numbers $1^{+}$, $2^{+}$, $3^{+}$, $2^{-}$, and $3^{-}$, as well as to find the corresponding S-matrix residues. These data (dα cross-sections) are fitted by both a single-channel and a two-channel S-matrix that is written in terms of semi-analytic Jost matrices, where all the factors, responsible for the branching of the energy Riemann surface, are given explicitly and exactly while the remaining unknown functions are represented by power series with the coefficients being the fitting parameters. The Jost matrices obtained from the fitting, are used at complex energies to locate resonances and the bound state, as well as to determine the corresponding S-matrix residues and the Asymptotic Normalization Coefficients (ANC). Our analysis, based on an S-matrix with the correct analytic structure, gives a solid confirmation of the resonance parameters found by the other authors.

分析了两组用于dα散射的数据，以确定核系统的束缚态和共振态参数${}^6\mathrm{里}$ 量子数 ${\mathrm{1个}}^{+}$， $2^{+}$， $3^{+}$， $2^{-}$和 $3^{-}$，以及找到相应的S-矩阵残基。这些数据（dα横截面）由单通道和双通道S矩阵拟合，该矩阵用半解析Jost矩阵表示，其中所有因子负责能量黎曼曲面的分支明确地和精确地给出，而其余未知函数由幂级数表示，系数为拟合参数。从拟合中获得的Jost矩阵用于以复数能量定位共振和束缚态，以及确定相应的S矩阵残差和渐近归一化系数（ANC）。我们的分析基于S具有正确分析结构的-矩阵可以可靠地确认其他作者发现的共振参数。