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Hexadecapole axial collectivity in the rare earth region: A beyond-mean-field study

C. V. Nithish Kumar1,* and L. M. Robledo1,2,†

  • 1Departamento de Física Teórica and CIAFF, Universidad Autónoma de Madrid, E-28049 Madrid, Spain
  • 2Center for Computational Simulation, Universidad Politécnica de Madrid, Campus de Montegancedo, Bohadilla del Monte, E-28660-Madrid, Spain

  • *nithishkumarcv@gmail.com
  • luis.robledo@uam.es

Phys. Rev. C 108, 034312 – Published 22 September, 2023

DOI: https://doi.org/10.1103/PhysRevC.108.034312

Abstract

Hexadecapole collectivity and its interplay with quadrupole degrees of freedom is studied in an axial symmetry preserving framework based on the Hartree-Fock-Bogoliubov plus generator coordinate method. Results are obtained for several even-even isotopes of Sm and Gd with various parametrizations of the Gogny force. The analysis of the results indicates the strong coupling between the quadrupole and hexadecapole degrees of freedom. The first two excited states are vibrational in character in most of the cases. The impact of prolate-oblate shape mixing in the properties of hexadecapole states is analyzed.

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References (38)

  1. S. Hilaire and M. Girod, Eur. Phys. J. A 33, 237 (2005).
  2. P. Möller, A. Sierk, T. Ichikawa, and H. Sagawa, At. Data Nucl. Data Tables 109–110, 1 (2016).
  3. Guillaume Scamps, Stephane Goriely, Erik Olsen, Michael Bender, and Wouter Ryssens, Eur. Phys. J. A 57, 333 (2021).
  4. G. Lalazissis, S. Raman, and P. Ring, At. Data Nucl. Data Tables 71, 1 (1999).
  5. P. E. Garrett, W. D. Kulp, J. L. Wood, D. Bandyopadhyay, S. Christen, S. Choudry, A. Dewald, A. Fitzler, C. Fransen, K. Jessen, J. Jolie, A. Kloezer, P. Kudejova, A. Kumar, S. R. Lesher, A. Linnemann, A. Lisetskiy, D. Martin, M. Masur, M. T. McEllistrem et al., J. Phys. G: Nucl. Part. Phys. 31, S1855 (2005).
  6. A. A. Phillips, P. E. Garrett, N. Lo Iudice, A. V. Sushkov, L. Bettermann, N. Braun, D. G. Burke, G. A. Demand, T. Faestermann, P. Finlay, K. L. Green, R. Hertenberger, K. G. Leach, R. Krücken, M. A. Schumaker, C. E. Svensson, H.-F. Wirth, and J. Wong, Phys. Rev. C 82, 034321 (2010).
  7. D. J. Hartley, F. G. Kondev, G. Savard, J. A. Clark, A. D. Ayangeakaa, S. Bottoni, M. P. Carpenter, P. Copp, K. Hicks, C. R. Hoffman, R. V. F. Janssens, T. Lauritsen, R. Orford, J. Sethi, and S. Zhu, Phys. Rev. C 101, 044301 (2020).
  8. P. Magierski, P.-H. Heenen, and W. Nazarewicz, Phys. Rev. C 51, R2880 (1995).
  9. W. Ryssens, G. Giacalone, B. Schenke, and C. Shen, Phys. Rev. Lett. 130, 212302 (2023).
  10. D. A. Meyer, G. Graw, R. Hertenberger, H.-F. Wirth, R. F. Casten, P. von Brentano, D. Bucurescu, S. Heinze, J. L. Jerke, J. Jolie, R. Krücken, M. Mahgoub, P. Pejovic, O. Möller, D. Mücher, and C. Scholl, J. Phys. G: Nucl. Part. Phys. 31, S1399 (2005).
  11. J. Engel and J. Menéndez, Rep. Prog. Phys. 80, 046301 (2017).
  12. J. L. Egido and L. M. Robledo, Nucl. Phys. A 545, 589 (1992).
  13. L. M. Robledo, Phys. Rev. C 50, 2874 (1994).
  14. L. M. Robledo, Phys. Rev. C 105, L021307 (2022).
  15. L. M. Robledo, Phys. Rev. C 105, 044317 (2022).
  16. L. M. Robledo, J. Phys. G: Nucl. Part. Phys. 37, 064020 (2010).
  17. J. A. Sheikh, J. Dobaczewski, P. Ring, L. M. Robledo, and C. Yannouleas, J. Phys. G: Nucl. Part. Phys. 48, 123001 (2021).
  18. R. Rodríguez-Guzmán, L. M. Robledo, and P. Sarriguren, Phys. Rev. C 86, 034336 (2012).
  19. L. M. Robledo, T. R. Rodríguez, and R. R. Rodríguez-Guzmán, J. Phys. G: Nucl. Part. Phys. 46, 013001 (2019).
  20. J. F. Berger, M. Girod, and D. Gogny, Nucl. Phys. A 428, 23 (1984).
  21. C. Gonzalez-Boquera, M. Centelles, X. Viñas, and L. Robledo, Phys. Lett. B 779, 195 (2018).
  22. S. Goriely, S. Hilaire, M. Girod, and S. Péru, Phys. Rev. Lett. 102, 242501 (2009).
  23. X. Vinas, C. Gonzalez-Boquera, M. Centelles, C. Mondal, and L. Robledo, Acta Phys. Pol. B 12, 705 (2019).
  24. G. Bertsch, Phys. Lett. B 26, 130 (1968).
  25. D. Hendrie, N. Glendenning, B. Harvey, O. Jarvis, H. Duhm, J. Saudinos, and J. Mahoney, Phys. Lett. B 26, 127 (1968).
  26. M. Spieker, S. Agbemava, D. Bazin, S. Biswas, P. Cottle, P. Farris, A. Gade, T. Ginter, S. Giraud, K. Kemper, J. Li, W. Nazarewicz, S. Noji, J. Pereira, L. Riley, M. Smith, D. Weisshaar, and R. Zegers, Phys. Lett. B 841, 137932 (2023).
  27. By using the Gaussian overlap approximation [28], the one-dimensional GCM method can be approximated by a collective Schrodinger equation with a collective inertia given in terms of second derivatives of the Hamiltonian overlaps, see [28] for details.
  28. P. Ring and P. Schuck, The Nuclear Many Body Problem (Springer-Verlag, Berlin, 1980).
  29. W. Ryssens, G. Scamps, S. Goriely, and M. Bender, Eur. Phys. J. A 58, 246 (2022).
  30. L. M. Robledo, J. Phys. G: Nucl. Part. Phys. 42, 055109 (2015).
  31. Brookhaven National Nuclear Data Center, ENSDF database, http://www.nndc.bnl.gov.
  32. P. E. Garrett, J. Phys. G: Nucl. Part. Phys. 27, R1 (2001).
  33. P. E. Garrett, J. L. Wood, and S. W. Yates, Phys. Scr. 93, 063001 (2018).
  34. S. A. Giuliani and L. M. Robledo, Phys. Lett. B 787, 134 (2018).
  35. F. Lechaftois, I. Deloncle, and S. Péru, Phys. Rev. C 92, 034315 (2015).
  36. U. Götz, H. Pauli, K. Alder, and K. Junker, Nucl. Phys. A 192, 1 (1972).
  37. K. A. Erb, J. E. Holden, I. Y. Lee, J. X. Saladin, and T. K. Saylor, Phys. Rev. Lett. 29, 1010 (1972).
  38. R. M. Ronningen, J. H. Hamilton, L. Varnell, J. Lange, A. V. Ramayya, G. Garcia-Bermudez, W. Lourens, L. L. Riedinger, F. K. McGowan, P. H. Stelson, R. L. Robinson, and J. L. C. Ford, Phys. Rev. C 16, 2208 (1977).

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