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  • Open Access

Direct Evidence for the νd5/2 Orbital in Ni69: Implications for the N=40 Island of Inversion

A. Ceulemans1,*, R. Raabe1,†, F. Nowacki2, A. Alharbi3,4, H. Ayatollahzadeh5,6, S. A. Bennett7, F. Browne8, P. A. Butler3, A. Camaiani1,‡ et al. (ISS Collaboration, ISOLDE Collaboration)

P. A. Butler3, A. Camaiani1,‡, D. Clarke7, A. J. Dolan3, Z. Eleme9, C. T. A. Everett3, F. Flavigny10, S. Fracassetti1, S. J. Freeman7,8, L. P. Gaffney3, G. Georgiev8,11, S. Goula9, A. Heinz12, A. Kawȩcka12, J. M. Keatings5,6, M. Labiche13, I. Lazarus13, P. T. MacGregor7,8, M. V. Managlia12, J. Ojala3,§, B. Olaizola8,∥, R. D. Page3, N. Patronis9, O. Poleshchuk1, A. M. Sánchez-Benítez14, D. K. Sharp7, H. Törnqvist12, and A. Youssef1 (ISS Collaboration, ISOLDE Collaboration)

  • *Contact author: andreas.ceulemans@kuleuven.be
  • †Contact author: riccardo.raabe@kuleuven.be
  • ‡Present address: Dipartimento di Fisica, Università degli Studi di Firenze e INFN-Firenze, Firenze, 50019, Italy.
  • §Present address: Accelerator Laboratory, Department of Physics, University of Jyväskylä, FI-40014 Jyväskylä, Finland.
  • ∥Present address: Instituto de Estructura de la Materia, CSIC, 28006 Madrid, Spain.

Phys. Rev. Lett. 135, 252502 – Published 19 December, 2025

DOI: https://doi.org/10.1103/tdfs-5qzw

Abstract

Shape coexistence, a collective manifestation of nuclear structure, emerges from the underlying single-particle dynamics and is prominently observed in the region below Ni68. Theoretical studies have emphasized the key role of the νd5/2 orbital, the quadrupole partner of νg9/2, in driving deformation. However, experimental constraints on the location and properties of neutron orbitals in neutron-rich isotopes in this region remain scarce. In this Letter, the single-particle structure of Ni69 was investigated via the Ni68(d,p) reaction in inverse kinematics, performed at the ISOLDE Solenoidal Spectrometer at CERN. Several new excited states were observed, and comparisons with adiabatic distorted wave approximation (ADWA) calculations enabled ℓ-value assignments for the most strongly populated states. In particular, a state at 2.56 MeV is interpreted as the dominant fragment of the νd5/2 strength. The experimental findings are well reproduced by Large-Scale Shell Model calculations using a modified LNPS interaction with an increased νg9/2–νd5/2 energy gap. These results provide new insight into the structure of Ni69 and underscore the crucial role of the νd5/2 orbital in the onset of collectivity at the N=40 island of inversion.

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References (69)

  1. K. Heyde and J. L. Wood, Rev. Mod. Phys. 83, 1467 (2011).
  2. J. L. Wood and K. Heyde, J. Phys. G 43, 020402 (2016).
  3. A. N. Andreyev et al., Nature (London) 405, 430 (2000).
  4. J. Ojala et al., Commun. Phys. 5, 213 (2022).
  5. B. A. Marsh et al., Nat. Phys. 14, 1163 (2018).
  6. C. Thibault, R. Klapisch, C. Rigaud, A. M. Poskanzer, R. Prieels, L. Lessard, and W. Reisdorf, Phys. Rev. C 12, 644 (1975).
  7. G. Huber, F. Touchard, S. Büttgenbach, C. Thibault, R. Klapisch, H. T. Duong, S. Liberman, J. Pinard, J. L. Vialle, P. Juncar, and P. Jacquinot, Phys. Rev. C 18, 2342 (1978).
  8. C. Détraz, D. Guillemaud, G. Huber, R. Klapisch, M. Langevin, F. Naulin, C. Thibault, L. C. Carraz, and F. Touchard, Phys. Rev. C 19, 164 (1979).
  9. D. Guillemaud-Mueller, C. Detraz, M. Langevin, F. Naulin, M. de Saint-Simon, C. Thibault, F. Touchard, and M. Epherre, Nucl. Phys. A426, 37 (1984).
  10. G. Neyens, M. Kowalska, D. Yordanov, K. Blaum, P. Himpe, P. Lievens, S. Mallion, R. Neugart, N. Vermeulen, Y. Utsuno, and T. Otsuka, Phys. Rev. Lett. 94, 022501 (2005).
  11. M. Madurga et al., Phys. Rev. C 109, L061301 (2024).
  12. K. Wimmer et al., Phys. Rev. Lett. 105, 252501 (2010).
  13. K. Heyde and J. L. Wood, J. Phys. G 17, 135 (1991).
  14. T. Glasmacher, B. Brown, M. Chromik, P. Cottle, M. Fauerbach, R. Ibbotson, K. Kemper, D. Morrissey, H. Scheit, D. Sklenicka, and M. Steiner, Phys. Lett. B 395, 163 (1997).
  15. B. Bastin et al., Phys. Rev. Lett. 99, 022503 (2007).
  16. F. Nowacki and A. Poves, Phys. Rev. C 79, 014310 (2009).
  17. Y. Utsuno, T. Otsuka, B. A. Brown, M. Honma, T. Mizusaki, and N. Shimizu, Phys. Rev. C 86, 051301(R) (2012).
  18. M. Bernas, P. Dessagne, M. Langevin, J. Payet, F. Pougheon, and P. Roussel, Phys. Lett. B 113, 279 (1982).
  19. O. Sorlin et al., Phys. Rev. Lett. 88, 092501 (2002).
  20. C. Guénaut, G. Audi, D. Beck, K. Blaum, G. Bollen, P. Delahaye, F. Herfurth, A. Kellerbauer, H.-J. Kluge, J. Libert, D. Lunney, S. Schwarz, L. Schweikhard, and C. Yazidjian, Phys. Rev. C 75, 044303 (2007).
  21. S. Rahaman, J. Hakala, V.-V. Elomaa, T. Eronen, U. Hager, A. Jokinen, A. Kankainen, I. Moore, H. Penttilä, S. Rinta-Antila, J. Rissanen, A. Saastamoinen, C. Weber, and J. Äystö, Eur. Phys. J. A 34, 5 (2007).
  22. N. Bree et al., Phys. Rev. C 78, 047301 (2008).
  23. S. Calinescu et al., Phys. Rev. C 104, 034318 (2021).
  24. W. F. Mueller et al., Phys. Rev. C 61, 054308 (2000).
  25. F. Flavigny et al., Phys. Rev. C 91, 034310 (2015).
  26. F. Flavigny et al., Phys. Rev. C 99, 054332 (2019).
  27. S. Suchyta, S. N. Liddick, Y. Tsunoda, T. Otsuka, M. B. Bennett, A. Chemey, M. Honma, N. Larson, C. J. Prokop, S. J. Quinn, N. Shimizu, A. Simon, A. Spyrou, V. Tripathi, Y. Utsuno, and J. M. VonMoss, Phys. Rev. C 89, 021301(R) (2014).
  28. B. Crider et al., Phys. Lett. B 763, 108 (2016).
  29. F. Nowacki, A. Obertelli, and A. Poves, Prog. Part. Nucl. Phys. 120, 103866 (2021).
  30. C. Santamaria et al., Phys. Rev. Lett. 115, 192501 (2015).
  31. A. Gade, R. V. F. Janssens, D. Bazin, P. Farris, A. M. Hill, S. M. Lenzi, J. Li, D. Little, B. Longfellow, F. Nowacki, A. Poves, D. Rhodes, J. A. Tostevin, and D. Weisshaar, Phys. Rev. C 103, 014314 (2021).
  32. M. Cortés et al., Phys. Lett. B 800, 135071 (2020).
  33. S. M. Lenzi, F. Nowacki, A. Poves, and K. Sieja, Phys. Rev. C 82, 054301 (2010).
  34. A. Gade et al., Phys. Rev. Lett. 112, 112503 (2014).
  35. B. Olaizola, L. M. Fraile, H. Mach, A. Poves, A. Aprahamian, J. A. Briz, J. Cal-González, D. Ghiţa, U. Köster, W. Kurcewicz, S. R. Lesher, D. Pauwels, E. Picado, D. Radulov, G. S. Simpson, and J. M. Udías, J. Phys. G 44, 125103 (2017).
  36. T. Lokotko et al., Phys. Rev. C 101, 034314 (2020).
  37. J. Ljungvall et al., Phys. Rev. C 81, 061301(R) (2010).
  38. A. Gade, B. Longfellow, R. Janssens et al., Nat. Phys. 21, 37 (2025).
  39. M. Rocchini et al., Phys. Rev. Lett. 130, 122502 (2023).
  40. M. Moukaddam, G. Duchêne, D. Beaumel, J. Burgunder, and L. Caceres, Acta Phys. Pol. B 42, 541 (2011).
  41. M. Moukaddam, Evolution of the shell structure in medium-mass nuclei: Search for the 2d5/2 neutron orbital in Ni69, Ph.D. thesis, Université de Strasbourg, 2012, https://theses.hal.science/tel-00746802.
  42. V. Fedosseev, K. Chrysalidis, T. D. Goodacre, B. Marsh, S. Rothe, C. Seiffert, and K. Wendt, J. Phys. G 44, 084006 (2017).
  43. Y. Kadi, Y. Blumenfeld, W. V. Delsolaro, M. A. Fraser, M. Huyse, A. P. Koufidou, J. A. Rodriguez, and F. Wenander, J. Phys. G 44, 084003 (2017).
  44. L. Gaffney et al. (s.d.) (to be published).
  45. A. Wuosmaa, J. Schiffer, B. Back, C. Lister, and K. Rehm, Nucl. Instrum. Methods Phys. Res., Sect. A 580, 1290 (2007).
  46. L. P. Gaffney, D. J. Clarke, H. Johansson, A. Ceulemans, B. Jones, P. MacGregor, and H. T. Törnqvist, Isoldesolenoidalspectrometer/isssort: v3.0, 10.5281/zenodo.10694756 (2024).
  47. R. Brun and F. Rademakers, Nucl. Instrum. Methods Phys. Res., Sect. A 389, 81 (1997).
  48. A. Matta, P. Morfouace, N. de Séréville, F. Flavigny, M. Labiche, and R. Shearman, J. Phys. G 43, 045113 (2016).
  49. M.Wang, G.Audi, A. H. Wapstra, F. G. Kondev, M.MacCormick, X.Xu, and B.Pfeifferand, Chin. Phys. C 36, 1603 (2012).
  50. A. Koning and J. Delaroche, Nucl. Phys. A713, 231 (2003).
  51. W. W. Daehnick, J. D. Childs, and Z. Vrcelj, Phys. Rev. C 21, 2253 (1980).
  52. I. J. Thompson, Comput. Phys. Rep. 7, 167 (1988).
  53. J. A. Tostevin, University of surrey corrected and updated version of the code twofnr (of M. Toyama, M. Igarashi and N. Kishida) and code front (private communication).
  54. G. Kramer, H. Blok, and L. Lapikás, Nucl. Phys. A679, 267 (2001).
  55. B. P. Kay, J. P. Schiffer, and S. J. Freeman, Phys. Rev. Lett. 111, 042502 (2013).
  56. A. Ceulemans, Code for: the IS587 experiment Ni68(d,p)—transfer, 10.48804/3TF05N (2024).
  57. W. F. Mueller, B. Bruyneel, S. Franchoo, H. Grawe, M. Huyse, U. Köster, K.-L. Kratz, K. Kruglov, Y. Kudryavtsev, B. Pfeiffer, R. Raabe, I. Reusen, P. Thirolf, P. Van Duppen, J. Van Roosbroeck, L. Vermeeren, W. B. Walters, and L. Weissman, Phys. Rev. Lett. 83, 3613 (1999).
  58. C. Nesaraja, Nucl. Data Sheets 115, 1 (2014).
  59. R. Grzywacz et al., Phys. Rev. Lett. 81, 766 (1998).
  60. J. I. Prisciandaro, P. F. Mantica, A. M. Oros-Peusquens, D. W. Anthony, M. Huhta, P. A. Lofy, and R. M. Ronningen, Phys. Rev. C 60, 054307 (1999).
  61. J. P. Schiffer, C. R. Hoffman, B. P. Kay, J. A. Clark, C. M. Deibel, S. J. Freeman, M. Honma, A. M. Howard, A. J. Mitchell, T. Otsuka, P. D. Parker, D. K. Sharp, and J. S. Thomas, Phys. Rev. C 87, 034306 (2013).
  62. A. P. Zuker, J. Retamosa, A. Poves, and E. Caurier, Phys. Rev. C 52, R1741 (1995).
  63. A. P. Zuker, A. Poves, F. Nowacki, and S. M. Lenzi, Phys. Rev. C 92, 024320 (2015).
  64. E. Caurier, G. Martínez-Pinedo, F. Nowacki, A. Poves, and A. P. Zuker, Rev. Mod. Phys. 77, 427 (2005).
  65. G. Hagen, M. Hjorth-Jensen, G. R. Jansen, R. Machleidt, and T. Papenbrock, Phys. Rev. Lett. 109, 032502 (2012).
  66. R. H. Fulmer, A. L. McCarthy, B. L. Cohen, and R. Middleton, Phys. Rev. 133, B955 (1964).
  67. T. Anfinsen, K. Bjørndal, A. Graue, J. Lien, G. Sandvik, L. Tveita, K. Ytterstad, and E. Cosman, Nucl. Phys. A157, 561 (1970).
  68. J. Diriken et al., Phys. Rev. C 91, 054321 (2015).
  69. A. Ceulemans et al. (ISS Collaboration), Data for: The IS587 experiment Ni68(d,p)—transfer, 10.48804/ACXORT (2024).

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