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PreprintCC BY 4.0arXiv

Determination of asymptotic normalization coefficients for the 7Li→ α+ 3He channel

Abstract

Asymptotic normalization coefficients (ANCs) C3/2 and C1/2 for the channels 7Li(3/2-;0 MeV)→ α+3H and 7Li(1/2-;0.478 MeV)→ α+3H, respectively, were determined by analyzing elastic α3H- scattering data using three different methods. All three methods yield similar results. The ANC values averaged over the three methods are C3/2=2.08± 0.10 fm−1/2 and C1/2=2.00± 0.10 fm−1/2. Comparison of the found ANCs with the previously obtained ANCs for 7Be confirms the relationship linking the ANC values for mirror nuclei. This research on determining the ANCs for the 7Li nucleus is, to some extent, a continuation of the previously completed study on its mirror nucleus, 7Be [ D. A. Savin, L. D. Blokhintsev, B. F. Irgaziev, A. S. Kadyrov, and A. M. Mukhamedzhanov, Phys. Rev. C 112, 065807 (2025)].

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BibTeX
@misc{blokhintsev2026determination,
  title = {{Determination of asymptotic normalization coefficients for the $^7$Li$\to α+ ^3$He channel}},
  author = {L. D. Blokhintsev and D. A. Savin and B. F. Irgaziev},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2607.23158},
  eprint = {2607.23158},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2607.23158},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Determination of asymptotic normalization coefficients for the ^7Li→ α+ ^3He channel
AU  - L. D. Blokhintsev
AU  - D. A. Savin
AU  - B. F. Irgaziev
PY  - 2026
DA  - 2026/09/07
PB  - arXiv
DO  - 10.48550/arxiv.2607.23158
UR  - https://arxiv.org/abs/2607.23158
AB  - Asymptotic normalization coefficients (ANCs) C_3/2 and C_1/2 for the channels ^7Li(3/2^-;0 MeV)→ α+^3H and ^7Li(1/2^-;0.478 MeV)→ α+^3H, respectively, were determined by analyzing elastic α^3H- scattering data using three different methods. All three methods yield similar results. The ANC values averaged over the three methods are C_3/2=2.08± 0.10 fm^−1/2 and C_1/2=2.00± 0.10 fm^−1/2. Comparison of the found ANCs with the previously obtained ANCs for ^7Be confirms the relationship linking the ANC values for mirror nuclei. This research on determining the ANCs for the ^7Li nucleus is, to some extent, a continuation of the previously completed study on its mirror nucleus, ^7Be [ D. A. Savin, L. D. Blokhintsev, B. F. Irgaziev, A. S. Kadyrov, and A. M. Mukhamedzhanov, Phys. Rev. C 112, 065807 (2025)].
ER  -