- Physical Review Journals
All JournalsPhysics Magazine

Physical Review C

Reuse & Permissions

It is not necessary to obtain permission to reuse this article or its components as it is available under the terms of the Creative Commons Attribution 4.0 International license. This license permits unrestricted use, distribution, and reproduction in any medium, provided attribution to the author(s) and the published article's title, journal citation, and DOI are maintained. Please note that some figures may have been included with permission from other third parties. It is your responsibility to obtain the proper permission from the rights holder directly for these figures.

Export citation

Export citation

Choose format for download:

Download Citation
  • Editors' Suggestion
  • Letter
  • Open Access

Nuclear cross sections from low-energy interactions

J. Boström, J. Rotureau, B. G. Carlsson, and A. Idini

  • Division of Mathematical Physics, Department of Physics, LTH, Lund University, PO Box 118, S-22100 Lund, Sweden

PDF

Phys. Rev. C 112, L051602 – Published 13 November, 2025

DOI: https://doi.org/10.1103/hfnm-ytj5

Abstract

We present a method to calculate neutron scattering cross sections for deformed nuclei using many-body wave functions described with multiple reference states. Nuclear states are calculated with the generator coordinate method using a low energy effective Hamiltonian. Using these states, a nonlocal and energy dependent optical potential is consistently constructed, allowing one to directly investigate the role of nuclear structure properties in nuclear scattering. The case of neutron scattering on Mg24 is presented. The results are compared to experiment and to phenomenological optical potentials at energies below 13 MeV, demonstrating the importance of low-energy collectivity in elastic and nonelastic scattering.

View figure in article

Physics Subject Headings (PhySH)

Article Text

Supplemental Material

References (53)

  1. C. W. Johnson et al., J. Phys. G: Nucl. Part. Phys. 47, 123001 (2020).
  2. H. L. Crawford, K. Fossez, S. König, and A. Spyrou, Annu. Rev. Nucl. Part. Sci. 74, 141 (2024).
  3. F. Nunes, Nucl. Phys. A 757, 349 (2005).
  4. H. Schatz et al., J. Phys. G: Nucl. Part. Phys. 49, 110502 (2022).
  5. D. Rochman, A. Koning, S. Goriely, and S. Hilaire, Nucl. Phys. A 1054, 122979 (2025).
  6. A. J. Koning and J. P. Delaroche, Nucl. Phys. A 713, 231 (2003).
  7. C. D. Pruitt, J. E. Escher, and R. Rahman, Phys. Rev. C 107, 014602 (2023).
  8. H. Feshbach, Annu. Rev. Nucl. Sci. 8, 49 (1958).
  9. H. Feshbach, Ann. Phys. (NY) 5, 357 (1958).
  10. C. Hebborn et al., J. Phys. G 50, 060501 (2023).
  11. A. Idini et al., J. Phys.: Conf. Ser. 2586, 012049 (2023).
  12. J. Ljungberg, B. G. Carlsson, J. Rotureau, A. Idini, and I. Ragnarsson, Phys. Rev. C 106, 014314 (2022).
  13. A. Såmark-Roth et al., Phys. Rev. Lett. 126, 032503 (2021).
  14. J. Ljungberg et al., J. Phys.: Conf. Ser. 2586, 012081 (2023).
  15. B. Bally and M. Bender, Phys. Rev. C 103, 024315 (2021).
  16. A. Idini, C. Barbieri, and P. Navrátil, Phys. Rev. Lett. 123, 092501 (2019).
  17. F. Capuzzi and C. Mahaux, Ann. Phys. (NY) 245, 147 (1996).
  18. A. Polls, A. Ramos, J. Ventura, S. Amari, and W. H. Dickhoff, Phys. Rev. C 49, 3050 (1994).
  19. D. J. Rowe, Rev. Mod. Phys. 40, 153 (1968).
  20. J. Boström, B. G. Carlsson, and A. Idini (unpublished).
  21. See Supplemental Material at http://link.aps.org/supplemental/10.1103/hfnm-ytj5 for more information concerning the implementation of the sum rule and the parameters of the calculation.
  22. T. Berggren, Nucl. Phys. A 109, 265 (1968).
  23. J. Rotureau, P. Danielewicz, G. Hagen, F. M. Nunes, and T. Papenbrock, Phys. Rev. C 95, 024315 (2017).
  24. W. Lin, E. Zhou, J. Yao, and H. Hergert, Symmetry 16, 409 (2024).
  25. H.-B. Håkansson, T. Berggren, and R. Bengtsson, Nucl. Phys. A 306, 406 (1978).
  26. K. Enami, K. Tanabe, and N. Yoshinaga, Phys. Rev. C 59, 135 (1999).
  27. J Boström et al., J. Phys.: Conf. Ser. 2586, 012080 (2023).
  28. J. Revai, M. Sotona, and J. Zofka, J. Phys. G: Nucl. Phys. 11, 745 (1985).
  29. A. M. Shirokov, A. I. Mazur, and V. A. Kulikov, Phys. At. Nucl. 84, 131 (2021).
  30. W. Du, S. Pal, M. Sharaf, P. Yin, S. Sarker, A. M. Shirokov, and J. P. Vary, Phys. Rev. C 106, 054608 (2022).
  31. H. Arellano and G. Blanchon, Comput. Phys. Commun. 259, 107543 (2021).
  32. E. Chabanat, P. Bonche, P. Haensel, J. Meyer, and R. Schaefferha, Nucl. Phys. A 635, 231 (1998).
  33. M. Bender and P.-H. Heenen, Phys. Rev. C 78, 024309 (2008).
  34. S. J. Waldecker, C. Barbieri, and W. H. Dickhoff, Phys. Rev. C 84, 034616 (2011).
  35. G. Brown and M. Rho, Nucl. Phys. A 372, 397 (1981).
  36. G. H. Sargsyan, G. Potel, K. Kravvaris, and J. E. Escher, arXiv:2410.21714.
  37. K. Kravvaris, S. Quaglioni, and P. Navrátil, Phys. Rev. C 109, 054603 (2024).
  38. J. Bommer, M. Ekpo, H. Fuchs, K. Grabisch, and H. Kluge, Nucl. Phys. A 263, 86 (1976).
  39. W. P. Abfalterer, F. B. Bateman, F. S. Dietrich, R. W. Finlay, R. C. Haight, and G. L. Morgan, Phys. Rev. C 63, 044608 (2001).
  40. A. Virdis, Centre dÉtudes Nucleaires, Saclay Reports, (1981), p. 5144.
  41. T. Schweitzer, D. Seeliger, and K. Seidel, Kernenergie 20, 174 (1977).
  42. L. Frittelli, F. Vinci, and E. Demanins, Com.Naz. per l'Energia Nucleare Reports 18 (1970).
  43. I. Korzh, V. Mishchenko, N. Pravdivy, and N. Sklyar, Ukr. Fiz. Zh. 39, 785 (1994).
  44. M. Adel-Fawzy, H. Förtsch, D. Schmidt, D. Seeliger, and T. Streil, Nucl. Phys. A 440, 35 (1985).
  45. I. Korzh, V. Mishchenko, M. Pasechnik, N. Pravdivyi, I. Sanzhur, and I. Totskii, Ukr. Phys. J. 13, 1266 (1969).
  46. I. Korzh, N. Kopytin, M. Pasechnik, N. Pravdivyi, N. Sclyar, and I. Totskii, Sov. At. Energy 16, 312 (1964).
  47. I. Korzh and N. Sklyar, Ukr. Fiz. Zh. 8, 1389 (1963).
  48. D. B. Thomson, L. Cranberg, and J. S. Levin, Phys. Rev. 125, 2049 (1962).
  49. R. N. Little, R. W. Long, and C. E. Mandeville, Phys. Rev. 69, 414 (1946).
  50. M. R. MacPhail, Phys. Rev. 57, 669 (1940).
  51. D. Stewart, W. Currie, J. Martin, and P. Martin, Conf: Nuclear Structure Study with Neutrons, Antwerp (1965), p. 509.
  52. E. Bauge, J. P. Delaroche, and M. Girod, Phys. Rev. C 63, 024607 (2001).
  53. A. Koning, S. Hilaire, and S. Goriely, Eur. Phys. J. A 59, 131 (2023).

Outline

Information

Phys. Rev. C 112, L051602– Published 13 November, 2025
  • Received 15 January 2025
  • Revised 5 September 2025
  • Accepted 6 October 2025
Crossmark - Check for updates button
Creative Commons Logo

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. Funded by Bibsam.

Published by the American Physical Society

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation