of the data sets, for the $l=0,1,2,3$ channels, respectively. A large uncertainty persists in the $l=2$ channel.

The ANCs for the $1_1^-$ and $2_1^+$ states have intensively been studied because those ANCs are related to the estimate of the $E1$ and $E2$ transitions of the radiative capture process, while those for the $0_2^+$ and $3_1^-$ states, which are also important to estimate the cascade transitions, are recently studied in experiment and reported first time.

For the ANC, $|C_b|$, for the $1_1^-$ state, we find that our result, $|C_b|= (1.6$-$1.9)\times 10^{14}$ (fm$^{-1/2}$), is in good agreement with experimental values, $(2.10\pm 0.14) \times 10^{14}$, $(2.00\pm 0.35) \times 10^{14}$, $(2.08\pm 0.20) \times 10^{14}$, obtained by Avila [*et al.*]{} [@aetal-prl15], Oulebsir [*et al.*]{} [@oetal-prc12], Brune [*et al.*]{} [@betal-prl99], respectively, and underestimates for other experimental ones, $(5.1\pm0.6)\times 10^{14}$ [@betal-npa07] and $(17.4$-26.4)$\times 10^{14}$ [@ab-plb11]. We also find good agreement with theoretical estimates, $(2.22$-2.24)$\times 10^{14}$, obtained from a potential model calculation by Katsuma [@k-prc08], and $2.14(6) \times 10^{14}$ and $2.073\times 10^{14}$ from the new method of the parameterization by Ramirez Suarez and Sparenberg [@rss-16] and by Orlov [*et al.*]{} [@oin-17], respectively.

For the ANC, $|C_b|$, for the $2_1^+$ state, our result, $|C_b| = (2.1$-$2.4) \times 10^4$ (fm$^{-1/2}$), 