- Physical Review Journals
All JournalsPhysics Magazine
Access Provided by Xinjiang University

Physical Review C

Export citation

Export citation

Choose format for download:

Download Citation
  • Access by Xinjiang University

Double-β transition 0+→2+ within a fully renormalized proton-neutron quasiparticle random-phase approximation with the gauge symmetry restored

A. A. Raduta1,2, C. M. Raduta1, and R. Poenaru1,3

  • 1Department of Theoretical Physics, Institute of Physics and Nuclear Engineering, P.O. Box MG6, Bucharest 077125, Romania
  • 2Academy of Romanian Scientists, 54 Splaiul Independentei, Bucharest 050094, Romania
  • 3Doctoral School of Physics, University of Bucharest, Bucharest 050663, Romania

PDF

Phys. Rev. C 106, 044301 – Published 4 October, 2022

DOI: https://doi.org/10.1103/PhysRevC.106.044301

Abstract

The 2νββ decay from the ground to the first excited 2+ state is considered for eight nuclei where experimental data are available. The transition amplitude is calculated with a projected spherical single-particle basis, a fully renormalized proton-neutron quasiparticle random-phase approximation (pnQRPA) for the Gamow-Teller (GT) dipole transition operator and a renormalized QRPA for charge conserving quadrupole operators. Also for the transition operator the first-order boson expansion expression is employed. Using the phase space integral corresponding to the transition 0+→2+ and the GT transition amplitude, the process half-life is readily obtained. The single-β∓ transition strengths are studied as function of the energies of the fully renormalized pnQRPA with the gauge symmetry restored. The single-β transition operators are used to calculate the log10ft values for the electron capture of the intermediate odd-odd nucleus to the mother nucleus as well as for the β− transition to the daughter nucleus. For the final state in the daughter nucleus the B(E2) values for the transition 2+→0+ and the half-life of the electromagnetic decaying state are calculated. The Ikeda sum rule for the mother nucleus is satisfied. The mentioned results are compared with the corresponding available data and a reasonable agreement is shown. The gauge projection quenches the half-life in the case of Nd150, Cd116, and Mo100 and enhances it for the remaining considered nuclei. Keeping the same parameters for the model Hamiltonian the ground to ground double-β transition is also treated and a good agreement with the existing data is obtained.

View figure in article

Physics Subject Headings (PhySH)

Article Text

References (79)

  1. H. Primakof and S. Rosen, Rep. Prog. Phys. 22, 121 (1959).
  2. W. C. Haxton and G. J. Stephenson, Jr., Prog. Part. Nucl. Phys. 12, 409 (1984).
  3. J. D. Vergados, Phys. Rep. 361, 1 (2001).
  4. J. Suhonen and O. Civitarese, Phys. Rep. 300, 123 (1998).
  5. T. Tomoda, Rep. Prog. Phys. 54, 53 (1991).
  6. A. Faessler, Prog. Part. Nucl. Phys. 21, 183 (1988).
  7. A. A. Raduta, Prog. Part. Nucl. Phys. 48, 233 (2002).
  8. F. T. Avignone III, S. Elliot, and J. Engel, Rev. Mod. Phys. 80, 481 (2008).
  9. A. S. Barabash, Phys. Rev. C 81, 035501 (2010).
  10. B. Pritychenko, Nucl. Data Sheets 120, 102 (2014).
  11. Y. K. Singh, R. Chandra, P. K. Raina, and P. K. Rath, Eur. Phys. J. 53, 244 (2017).
  12. A. A. Raduta, A. Faessler, and S. Stoica, Nucl. Phys. A 534, 149 (1991).
  13. A. A. Raduta, A. Faessler, S. Stoica, and W. Kaminsky, Phys. Lett. B 254, 7 (1991).
  14. J. Toivanen and J. Suhonen, Phys. Rev. Lett. 75, 410 (1995).
  15. A. A. Raduta, C. M. Raduta, W. Kaminski, and A. Faessler, Nucl. Phys. A 634, 497 (1998).
  16. M. J. Hornish, L. De Braeckeleer, A. S. Barabash, and V. I. Umatov, Phys. Rev. C 74, 044314 (2006).
  17. M. Agostini et al. (GERDA Collaboration), J. Phys. G: Nucl. Part. Phys. 42, 115201 (2015).
  18. J. W. Beeman et al., Eur. Phys. J. C 75, 591 (2015).
  19. A. S. Barabash et al., J. Phys. G: Nucl. Part. Phys. 22, 487 (1996).
  20. R. Arnold et al., Nucl. Phys. A 925, 25 (2014).
  21. A. Piepke et al., Nucl. Phys. A 577, 493 (1994).
  22. E. Bellotti et al., Europhys. Lett. 3, 889 (1987).
  23. P. Belli et al., Universe 6, 239 (2020).
  24. K. Asakura et al., Nucl. Phys. A 946, 171 (2016).
  25. R. Saakyan, Annu. Rev. Nucl. Part. Sci. 63, 503 (2013).
  26. K. Nakamura et al., J. Phys. G: Nucl. Part. Phys. 37, 075021 (2010).
  27. A. S. Barabash, in Workshop on Calculation of Double-Beta-Decay Matrix Elements (MEDEX'17), edited by O. Civitarese, I. Stekl, and J. Suhonen, AIP Conf. Proc. No. 1894 (AIP, New York, 2017), p. 020002.
  28. I. J. Arnquist et al., Phys. Rev. C 103, 015501 (2021).
  29. S. Unlu, Chin. Phys. Lett. 31, 042101 (2014).
  30. A. Armatol et al. (NEMO-3 Collaboration), Nucl. Phys. A 996, 121701 (2020).
  31. A. S. Barabash, P. Hubert, A. Nachab, and V. I. Umatov, Phys. Rev. C 79, 045501 (2009).
  32. R. YkeJiao and R. Zhong-Zhou, Sci. China Phys. Mech. Astron. 58, 012002 (2015).
  33. K. Blaum, S. Eliseev, F. A. Danevich, V. I. Tretyak, S. Kovalenko, M. I. Krivoruchenko, Y. N. Novikov, and J. Suhonen, Rev. Mod. Phys. 92, 045007 (2020).
  34. P. Ring and P. Schuck, The Nuclear Many-Body Problem, (Springer, Berlin, 2000), p. 447.
  35. A. A. Raduta, D. S. Delion, and N. Lo Iudice, Nucl. Phys. A 564, 185 (2000).
  36. A. A. Raduta, N. Lo Iudice, and I. I. Ursu, Nucl. Phys. A 584, 84 (1995).
  37. A. A. Raduta, A. Escuderos, and E. Moya de Guerra, Phys. Rev. C 65, 024312 (2002).
  38. A. A. Raduta, A. Escuderos, A. Faessler, E. Moya de Guerra, and P. Sarriguren, Phys. Rev. C 69, 064321 (2004).
  39. A. A. Raduta, C. M. Raduta, and A. Escuderos, Phys. Rev. C 71, 024307 (2005).
  40. A. A. Raduta, A. Faessler, and D. S. Delion, Phys. Lett. B 312, 13 (1993).
  41. A. A. Raduta, D. S. Delion, and A. Faessler, Nucl. Phys. A 617, 176 (1997).
  42. L. Zamick and N. Auerbach, Phys. Rev. C 26, 2185 (1982).
  43. R. Álvarez-Rodríguez, P. Sarriguren, E. Moya de Guerra, L. Pacearescu, A. Faessler, and F. Simkovic, Phys. Rev. C 70, 064309 (2004).
  44. F. Šimkovic, L. Pacearescu, and A. Faessler, Nucl. Phys. A 733, 321 (2004).
  45. O. Moreno, R. Alvarez-Rodriguez, P. Sarriguren, E. M. de Guerra, F. Simkovic, and A. Faessler, J. Phys. G: Nucl. Part. Phys. 36, 015106 (2009).
  46. M. S. Yousef, V. Rodin, A. Faessler, and F. Simkovic, Phys. Rev. C 79, 014314 (2009).
  47. D.-L. Fang, A. Faessler, V. Rodin, and F. Simkovic, Phys. Rev. C 83, 034320 (2011).
  48. M. T. Mustonen and J. Engel, Phys. Rev. C 87, 064302 (2013).
  49. D. Navas-Nicolas and P. Sarriguren, Phys. Rev. C 91, 024317 (2015).
  50. P. Sarriguren, O. Moreno, and E. Moya de Guerra, Adv. High Energy Phys. 2016, 6391052 (2016).
  51. S. Unlu and N. Cakmak, Acta Phys. Pol. B 53, 3-A3 (2022).
  52. S. G. Nilsson, Mat. Fys. Medd. K. Dan. Vidensk. Selsk. 29, 16 (1955).
  53. A. A. Raduta, F. Simkovich, and A. Faessler, J. Phys. G: Nucl. Part. Phys. 26, 793 (2000).
  54. M. E. Rose, Elementary Theory of Angular Momentum (Wiley, New York, 1957).
  55. P. Ring and P. Schuck, The Nuclear Many-Body Problem (Springer, Berlin, 2000), p. 236.
  56. C. M. Raduta, A. A. Raduta, and I. I. Ursu, Phys. Rev. C 84, 064322 (2011).
  57. E. Kolbe, K. Langanke, F. K. Thielemann, and P. Vogel, Phys. Rev. C 52, 3437 (1995).
  58. C. M. Raduta and A. A. Raduta, Phys. Rev. C 76, 044306 (2007).
  59. J. Toivanen and J. Suhonen, Phys. Rev. C 55, 2314 (1997).
  60. M. Aunola and J. Suhonen, Nucl. Phys. A 602, 133 (1996).
  61. H. Ejiri et al., Phys. Lett. B 258, 17 (1991).
  62. H. V. Klapdor and K. Grotz, Phys. Lett. B 142, 323 (1984).
  63. S. W. Hennecke, O. K. Emanuel, and D. D. Sabu, Phys. Rev. 11, 1378 (1975).
  64. J. G. Hirsch, O. Castanos, P. O. Hess, and O. Civitarese, Phys. Rev. C 51, 2252 (1995).
  65. N. I. Pyatov and D. I. Salamov, Nucleonica 22, 127 (1977).
  66. R. Madey, B. S. Flanders, B. D. Anderson, A. R. Baldwin, J. W. Watson, S. M. Austin, C. C. Foster, H. V. Klapdor, and K. Grotz, Phys. Rev. C 40, 540 (1989).
  67. B. Sinh and J. Chen, Nuclear Data Sheets 172, 1 (2021).
  68. V. Guadilla, A. Algora, J. L. Tain, J. Agramunt, D. Jordan, A. Montaner-Piza, S. E. A. Orrigo, B. Rubio, E. Valencia, J. Suhonen, O. Civitarese, J. Aysto, J. A. Briz, A. Cucoanes, T. Eronen, M. Estienne, M. Fallot, L. M. Fraile, E. Ganioglu, W. Gelletly, D. Gorelov, J. Hakala, A. Jokinen, A. Kankainen, V. Kolhinen, J. Koponen, M. Lebois, T. Martinez, M. Monserrate, I. Moore, E. Nacher, H. Penttila, I. Pohjalainen, A. Porta, J. Reinikainen, M. Reponen, S. Rinta-Antila, K. Rytkonen, T. Shiba, V. Sonnenschein, A. A. Sonzogni, V. Vedia, A. Voss, J. N. Wilson, and A. A. Zakari-Issoufou, Phys. Rev. C 96, 014319 (2017).
  69. J. Blachot, Nuclear Data Sheets 111, 717 (2010).
  70. Z. Elekes and J. Timar, Nuclear Data Sheets 129, 191 (2015).
  71. M. Kanbe and K. Kitao, Nucl. Data Sheets 94, 227 (2001).
  72. C. M. Lederer and V. S. Shirley, Table of Isotopes, 7th ed. (Wiley, New York, 1978), p. 631.
  73. S. K. Basu and A. A. Sonzogni, Nuclear Data Sheets 114, 435 (2013).
  74. R. Helmer et al., Phys. Rev. C 55, 2802 (1997).
  75. H. Akimune et al., Phys. Lett. B 394, 23 (1997).
  76. W. Thomas, Naturwissenschaften 13, 627 (1925).
  77. F. Reiche and W. Thomas, Z. Phys. 34, 510 (1925).
  78. W. Kuhn, Z. Phys. 33, 408 (1925).
  79. N. Lo Iudice, A. A. Raduta, and D. S. Delion, Phys. Rev. C 50, 127 (1994).

Outline

Information

Phys. Rev. C 106, 044301– Published 4 October, 2022
  • Received 28 May 2022
  • Accepted 14 September 2022
Crossmark - Check for updates button

©2022 American Physical Society

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation