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Be7 asymptotic normalization coefficients from He3+He4 elastic scattering and validation of extrapolation methods

D. A. Savin1, L. D. Blokhintsev1, B. F. Irgaziev2, A. S. Kadyrov3, and A. M. Mukhamedzhanov4

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Phys. Rev. C 112, 065807 – Published 22 December, 2025

DOI: https://doi.org/10.1103/zcv6-pf2t

Abstract

We present the first direct determination of asymptotic normalization coefficients (ANCs) for the ground and first excited states of Be7 from 3He+He4 elastic scattering phase shifts. The analysis draws upon the classic datasets of two older low-energy measurements, long considered difficult due to internal inconsistencies and the absence of systematic uncertainties. Employing single-level R-matrix fits, the mapping between reduced widths and ANCs, and Bayesian inference, we reconstruct posterior distributions and quantify uncertainties. A key innovation of this study is the application and validation of the extrapolation method developed by our group, specifically designed to extract ANC values in cases where direct low-energy information is lacking. Benchmarking against the latest measurements [Paneru et al., Phys. Rev. C 109, 015802 (2024)], which reported only R-matrix fits with fixed ANCs, confirms the predictive power and robustness of our approach. Our findings show that ANCs deduced from older scattering measurements are systematically lower than those inferred from radiative capture, thereby confirming earlier indications of a discrepancy between the two methods. This work demonstrates both the originality and reliability of the extrapolation method as a powerful tool for ANC determination in nuclear astrophysics.

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References (32)

  1. A. M. Mukhamedzhanov and L. D. Blokhintsev, Eur. Phys. J. A 58, 29 (2022).
  2. A. M. Mukhamedzhanov and N. K. Timofeyuk, Yad. Fiz. 51, 679 (1990) [Sov. J. Nucl. Phys. 51, 431 (1990)].
  3. H. M. Xu, C. A. Gagliardi, R. E. Tribble, A. M. Mukhamedzhanov, and N. K. Timofeyuk, Phys. Rev. Lett. 73, 2027 (1994).
  4. A. M. Mukhamedzhanov and R. E. Tribble, Phys. Rev. C 59, 3418 (1999).
  5. E. G. Adelberger et al., Rev. Mod. Phys. 70, 1265 (1998).
  6. D. Odell et al., Front. Phys. 10, 888476 (2022).
  7. X. Zhang, K. M. Nollett, and D. R. Phillips, J. Phys. G: Nucl. Part. Phys. 47, 054002 (2020).
  8. P. Premarathna and G. Rupak, Eur. Phys. J. A 56, 166 (2020).
  9. M. P. Takács, D. Bemmerer, T. Szücs, and K. Zuber, Phys. Rev. D 91, 123526 (2015).
  10. F. Confortola et al. (LUNA Collaboration), Phys. Rev. C 75, 065803 (2007).
  11. Q. I. Tursunmahatov and R. Yarmukhamedov, Phys. Rev. C 85, 045807 (2012).
  12. R. Yarmukhamedov and D. Baye, Phys. Rev. C 84, 024603 (2011).
  13. K. M. Nollett, Phys. Rev. C 63, 054002 (2001).
  14. R. J. deBoer, J. Gorres, K. Smith, E. Uberseder, M. Wiescher, A. Kontos, G. Imbriani, A. Dileva, and F. Strieder, Phys. Rev. C 90, 035804 (2014).
  15. M. C. Atkinson, K. Kravvaris, S. Quaglioni, and P. Navrátil, Phys. Lett. B 860, 139189 (2025).
  16. G. G. Kiss et al., Phys. Lett. B 807, 135606 (2020).
  17. T. A. Tombrello and P. D. Parker, Phys. Rev. C 130, 1112 (1962).
  18. A. C. L. Barnard, C. M. Jones, and G. C. Phillips, Nucl. Phys. 50, 629 (1964).
  19. Som N. Paneru, Ph.D. thesis, Ohio University, 2020.
  20. S. N. Paneru et al., Phys. Rev. C 109, 015802 (2024).
  21. M. Wiescher et al., Rev. Mod. Phys. 97, 025003 (2025).
  22. W. R. Boykin, S. D. Baker, and D. M. Hardy, Nucl. Phys. A 195, 241 (1972).
  23. L. D. Blokhintsev, A. S. Kadyrov, A. M. Mukhamedzhanov, and D. A. Savin, Eur. Phys. J. A 58, 257 (2022).
  24. L. D. Blokhintsev, A. S. Kadyrov, A. M. Mukhamedzhanov, and D. A. Savin, Eur. Phys. J. A 59, 162 (2023).
  25. L. D. Blokhintsev, A. M. Mukhamedzhanov, and A. N. Safronov, Fiz. Elem. Chastits At Yadra (in Russian) 15, 1296 (1984) [Sov. J. Part. Nucl (English transl.) 15, 580 (1984)].
  26. O. L. Ramírez Suárez and J.-M. Sparenberg, Phys. Rev. C 96, 034601 (2017).
  27. L. D. Blokhintsev, A. S. Kadyrov, A. M. Mukhamedzhanov, and D. A. Savin, Phys. Rev. C 97, 024602 (2018).
  28. D. Gaspard and J.-M. Sparenberg, Phys. Rev. C 97, 044003 (2018).
  29. L. D. Blokhintsev and D. A. Savin, Phys. At. Nucl. 87, 352 (2024).
  30. P. Descouvemont and D. Baye, Rep. Prog. Phys. 73, 036301 (2010).
  31. J. Wolberg, Data Analysis Using the Method of Least Squares. Extracting the Most Information from Experiments (Springer, New York, 2006).
  32. J. L. Friar, B. F. Gibson, D. R. Lehman, and G. L. Payne, Phys. Rev. C 25, 1616 (1982).

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Phys. Rev. C 112, 065807– Published 22 December, 2025
  • Received 26 September 2025
  • Accepted 24 November 2025
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.

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