Erratum: Asymptotic normalization coefficients of resonant and bound states from the phase shifts forααandα12Cscattering [Phys. Rev. C93, 014612 (2016)]

Abstract

This erratum corrects misprints in Sec. V and in the Conclusion (Sec. VII) of our paper. The end of Eq. (34) should read ANC = 1.032×10 14 fm −1/2 instead of ANC = 1.032×10 4 fm −1/2 . There, the given value of the squared NVCG 2 l is correct. At the end of the Conclusion (p. 7, the right column, the fifth line above the Acknowledgments) the text should read ANC = 2.106×10 4 fm −1/2 instead of ANC = 1.0323×10 4 fm −1/2 .We would like to thank J.-M. Sparenberg who pointed out these misprints in his letter concerning his new preprint. 2469-9985/2016/93(5)/059901(1) 059901-1

Elastic α−C12 scattering at low energies with the bound states of O16Ando1 2018Phys. Rev. C270231View full textAdd to dashboardCite

“…[47]. On the other hand, our result is in good agreement with theoretical estimates, (2.41 ± 0.38) × 10 4 and 2.106 × 10 4 , from the effective range analysis up to the r 2 term by Konig et al [19] and up to the P 2 term by Orlov et al [20], respectively, and in underestimates for the other theoretical estimates, (14.45±0.85)×10 4 from the supersymmetric potential model by Sparenberg [48] and (12.6 ± 0.5) × 10 4 from the R matrix analysis with a microscopic cluster model by Dufour and Descouvemont [47] and 5.050 × 10 4 from the new method of the parameterization by Orlov et al [23]. For the ANCs, |C b |, for the 0 Table 5: Ratios of the terms in the power series to −1/a l for l = 0, 2, 3 and to…”

“…The ANC of deuteron is accurately determined by two effective range parameters: the deuteron binding momentum and effective range [17,18], which are accurately fixed from the deuteron binding energy and elastic NN scattering at low energies. On the other hand, to deduce ANCs for nuclear reactions relevant in nuclear-astrophysics is not so simple: the Coulomb interaction between heavier nuclei plays a negative role by preventing ones from obtaining elastic scattering data at very low energies, which makes the deduction of ANCs in terms of effective range expansion difficult [19,20]. Recently, a new method of the parameterization for deducting the ANCs of nuclear reactions is suggested by Ramirez Suarez and Sparenberg [21], and new results of the ANCs by using the new method are reported in Refs.…”

Resonance properties including asymptotic normalization coefficients deduced from phase-shift data without the effective-range function

“…The α 12 C is just a proper example of such a situation. This problem is revealed in our work [4] where we see that the ERF for α 12 C have a * irgaziev@yahoo.com † orlov@srd.sinp.msu.ru similar behavior in the different 16 O states because the Coulomb term in the ERF does not depend on nuclear state.…”

Extrapolation of scattering data to the negative-energy region. II. Applicability of effective range functions within an exactly solvable model

“…In Ref. [19], while continuing the K 0 (E) function to the point corresponding to the ground state, the authors ignored the presence of the excited 0 + state which affects significantly the behavior of K 0 (E) at E < 0. In Ref.…”

“…Note that the attempts to determine C 2 by extrapolating the function K 0 (E) or ∆ 0 (E) from the positive to the negative energy region were made in Refs. [11,19]. In these papers, the parameters of the analytic approximation of K 0 (E) and ∆ 0 (E) were fitted to the results of the phase-shift analysis of the elastic α− 12 C scattering at low energies.…”