Skip to main content
Log in

IBM-2 calculations of some even-even selenium nuclei

  • Published:
Central European Journal of Physics

Abstract

In this study, we determined the most appropriate Hamiltonian that is needed for present calculations of nuclei in the A≅ 80 region by the view of interacting boson model (IBM-2). Using the best-fitted values of parameters in the Hamiltonian, we have calculated energy levels and B(E2) values for a number of transitions in some doubly even Se nuclei. The results were compared with the previous experimental and theoretical data and it is observed that they are in good agreement. The calculations have been extended to Se isotopes with A < 76 for which some B(E2) values are still not known.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. T.J. Mertzimakis, A.E. Stuchbery, N. Benczer and M.J. Taylor: “Systematics of first 2+ state g factors around mass 80”, Phys. Rev. C, Vol. 68, (2003), pp. 054304.

    Article  ADS  Google Scholar 

  2. O. Kenn, K.H. Speidel, R. Ernst, S. Schielke, S. Wagner, J. Gerber, P. Maier-Komor and F. Nowack: “Measurements of g factors and lifetimes of low lying states in Zn-62-70 and their shell model implication”, Phys. Rev. C, Vol. 65, (2002), pp. 034308.

    Google Scholar 

  3. K.H. Speidel, N. Benczer-Koller, G. Kumbartzki, C. Barton, A. Gelberg, J. Holden, G. Jakob, N. Matt, R.H. Mayer, M. Satteson, R. Tanczyn and L. Weissman: “Shell closure effects in the stable 74–82Se isotopes from magnetic moment measurements using projectile excitation and the transient field technique”, Phys. Rev. C, Vol. 57, (1998), pp. 2181–2188.

    Article  ADS  Google Scholar 

  4. T.J. Mertzimekis, N. Benczer-Koller, J. Holden, G. Jakob, G. Kumbartzki, K.H. Speidel, R. Ernst, A. Macchiavelli, M. Mc-Mahan, L. Phair, P. Maier-Komor, A. Pkou, S. Vincent and W. Korten: “First measurements of the g factors in the even Kr isotopes”, Phys. Rev. C, Vol. 64, (2001), pp. 024314.

    Google Scholar 

  5. J. Sinatkas, L.D. Skouras, D. Strottman and J.D. Vergados: “Shell-model calculations in the A=80–100 mass region: I. A study of the N=50 nuclei”, J. Phys: Nucl. Part. Phys., Vol. 18, (1992), pp. 1377–1400; “Shell-model calculations in the A=80–100 mass region: II. A study of the N=49,48 nuclei”, J. Phys: Nucl. Part. Phys., Vol. 18, (1992), pp. 1401-1418.

    Article  ADS  Google Scholar 

  6. K. Heyde, J. Jolie, J. Moreau, J. Ryckebusch, M. Waroquier, P. Van Duppen, M. Husye and J.L. Wood: “A shell-model description of 0+ intruder states in even-even nuclei”, Nucl. Phys. A, Vol. 466, (1987), pp. 189–226.

    Article  ADS  Google Scholar 

  7. P.D. Duval and B.R. Barrett: “Quantitative description of configuration mixing in the interacting boson model”, Nucl. Phys. A, Vol. 376, (1982), pp. 213–228.

    Article  ADS  Google Scholar 

  8. P.D. Duval, D. Goutte and M. Vergnes: “The interacting Boson Model in the germanium region”, Phys. Lett. B, Vol. 124, (1983), pp. 297–301.

    Article  ADS  Google Scholar 

  9. A.F. Barfield and K.P. Lieb: “Boson effective charges for light Se, Kr and Sr isotopes”, Phys. Rev. C, Vol. 41, (1990), pp. 1762–1767.

    Article  ADS  Google Scholar 

  10. U. Kaup, C. Möntkemeyer and P. von Brentano: “Band structure of even-even selenium isotopes in the proton-neutron interacting boson model”, Z. Phys. A, Vol. 310, (1983), pp. 129–133.

    Article  Google Scholar 

  11. U. Kaup and A. Gelberg: “Interacting Bosons in Nuclear structure”, Z. Phys. A, Vol. 293, (1979), pp. 311–315.

    Article  Google Scholar 

  12. K. Heyde, J. Moreau and M. Waroquier: “Evidence for very large deformation in neutron deficient nuclei with Z ∼=40”, Phys. Rev. C, Vol. 29, (1984), pp. 1859–1871.

    Article  ADS  Google Scholar 

  13. T. Matsuzaki and H. Taketani: “Band structures of 76Se and 78Se”, Nucl. Phys. A, Vol. 390, (1982), pp. 413–448.

    Article  ADS  Google Scholar 

  14. H. Higo, S. Matsuki and T. Yanabu: “Level structure of 80,82Sr via the 78,80Kr(α, 2nγ) reactions”, Nucl. Phys. A, Vol. 393, (1983), pp. 224–236.

    Article  ADS  Google Scholar 

  15. S. Brüssermann, K.P. Lieb, P. Sona, H. Emling, E. Grosse and J. Stachel: “Multiple Coulomb excitation of the transitional nucleus 82Kr”, Phys. Rev. C, Vol. 32, (1985), pp. 1521–1533.

    Article  ADS  Google Scholar 

  16. A. Dewald, U. Kaup, W. Gast, A. Gelberg, H.W. Schuh, K.O. Zell and P. von Brentano: “High spin states of 84Sr”, Phys. Rev. C, Vol. 25, (1982), pp. 226–239.

    Article  ADS  Google Scholar 

  17. R.A. Meyer, J.F. Wild, K. Eskola, M.E. Leino, S. Valsala, K. Forssten, U. Kaup and A. Gelberg: “Collective excitations of 82Kr observed by in-beam and decay spectroscopy and their characterization by the interacting boson model”, Phys. Rev. C, Vol. 27, (1983), pp. 2217–2238.

    Article  ADS  Google Scholar 

  18. H.P. Hellmeister, J. Keinonen, K.P. Lieb, U. Kaup, R. Rascher, R. Ballini, J. Delaunay and H. Dumont: “Study of high spin states in 78Kr”, Nucl. Phys. A, Vol. 332, (1979), pp. 241–268; “Band structure of 78Kr”, Phys. Lett. B, Vol. 85, (1979), pp. 34-37.

    Article  ADS  Google Scholar 

  19. H. Hamilton, P.G. Hansen and E.F. Zganjar: “New Vistas from Nuclei Far From Stability”, Rep. Prog. Phys., Vol. 48, (1985), pp. 631–708.

    Article  ADS  Google Scholar 

  20. K.P. Lieb and J.J. Kolata: “Ground-state band in 72Se”, Phys. Rev. C, Vol. 15, (1977), pp. 939–949.

    Article  ADS  Google Scholar 

  21. W. Nazarewicz, J. Dudek, R. Bengtsson, T. Bengtsson and I. Ragnarsson: “Microscopic study of the high-spin behaviour in selected A ≃ 80 nuclei”, Nucl. Phys. A, Vol. 435, (1985), pp. 397–447.

    Article  ADS  Google Scholar 

  22. F.S. Radhi and N.M. Stewart: “An IBM description of 76Se and neighbouring Se-isotopes”, Z. Phys. A, Vol. 356, (1996), pp. 145–153.

    Article  Google Scholar 

  23. J. Heese, K.P. Lieb, L. Luhmann, F. Raether, B. Wormann, D. Alber, H. Grawe, J. Eberth and T. Mylaeus: “Lifetime measurements in 70Se and 72Se”, Z. Phys. A, Vol. 325, (1986), pp. 45–53.

    Google Scholar 

  24. W. Andrejtscheff, M. Senba, N. Tsoupas, Z.Z. Ding, P. Raghavan, A. Lopez-Garcia and R. Levy: “Nanosecond feeding times: Evidence for high-spin isomerism near A = 75 and 100”, Phys. Lett. B, Vol. 113, (1982), pp. 209–212.

    Article  ADS  Google Scholar 

  25. R. Lecomte, P. Paradis, J. Barrette, M. Barrette, G. Lamoureux and S. Monaro: “Measurement of the static quadrupole moments of the first 2+ states in 76Se, 78Se, 80Se and 82Se”, Nucl. Phys. A, Vol. 284, (1977), pp. 123–134.

    Article  ADS  Google Scholar 

  26. P. Federman and S. Pittel: “Towards a unified microscopic description of nuclear deformation”, Phys. Lett. B, Vol. 69, (1977), pp. 385–388.

    Article  ADS  Google Scholar 

  27. C.K. Nair, A. Ansari and L. Satpathy: “Neutron-proton interaction and nuclear deformations”, Phys. Lett. B, Vol. 71, (1977), pp. 257–258.

    Article  ADS  Google Scholar 

  28. A. Sevrin, K. Heyde and J. Jolie: “Triaxiality in the proton-neutron interacting boson model: Systematic study of perturbations in the SU/emph> (3) limit”, Phys. Rev. C, Vol. 36, (1987), pp. 2621–2630.

    Article  ADS  Google Scholar 

  29. J. Meyer-ter-vehn: “Collective model description of transitional odd-A nuclei: (I). The triaxial-rotor-plus-particle model”, Nucl. Phys. A, Vol. 249, (1975), pp. 111–140; “Collective model description of transitional odd-A nuclei: (II). Comparison with unique parity states of nuclei in the A = 135 and A = 190 mass regions”, Nucl. Phys. A, Vol. 49, (1975), pp. 141-165.

    Article  ADS  Google Scholar 

  30. A. Bohr and B. Mottelson: “Nuclear Deformation”, In: Nuclear Structure, Vol. II, Benjamin, New York, 1975, pp. 593–595.

    Google Scholar 

  31. A. Arima and F. Iachello: “Interacting Boson Model of Collective States I. The Vibrational Limit”, Ann. Phys. (N.Y.), Vol. 99, (1976), pp. 253–317; “Interacting boson model of collective nuclear states II. The rotational limit”, Ann. Phys. (N.Y.), Vol. 111, (1978), pp. 201-238; “Interacting Boson Model of Collective States IV.The O(6) Limit”, Ann. Phys. (N.Y.), Vol. 123, (1979), pp. 468-492.

    Article  Google Scholar 

  32. K. Hayde and P. van Isacker, M. Waroquier and J. Moreau: “Triaxial shapes in the interacting boson model”, Phys. Rev. C, Vol. 29, (1984), pp. 1420–1427.

    Article  ADS  Google Scholar 

  33. H.Z. Sun, M. Zhang and D.H. Feng: “The analytic wavefunctions of the interacting boson model”, Phys. Lett. B, Vol. 163, (1985), pp. 7–13.

    Article  ADS  MathSciNet  Google Scholar 

  34. A.E.L. Dieperink and R. Bijker: “On triaxial features in the neutron-proton IBA”, Phys. Lett. B, Vol. 116, (1982), pp. 77–81.

    Article  ADS  Google Scholar 

  35. A.E.L. Dieperink: In Progress in Particle and Nuclear Physics, Plenum Press, New York, 1983.

    Google Scholar 

  36. A. Arima, T. Otsuka, F. Iachello and T. Talmi: “Collective nuclear states as symmetric couplings of proton and neutron excitations”, Phys.Lett. B, Vol. 66, (1977), pp. 205–208.

    Article  ADS  Google Scholar 

  37. F. Iachello: Dronten Nuclear Structure Summer School, Plenum Press, New York, 1982.

    Google Scholar 

  38. K. Hayde, P. van Isacker, M. Waroquier, G. Wens, Y. Gigase and J. Stachel: “g-boson excitations in the interacting boson model”, Nucl. Phys. A, Vol. 398, (1983), pp. 235–252.

    Article  ADS  Google Scholar 

  39. F. Iachello and A. Arima: The Interacting Boson Model, Cambridge University Press., Cambridge, 1987.

    Google Scholar 

  40. A. Giannatiempo, A. Nannini, P. Sona and D. Cutoiu: “Full-symmetry and mixed-symmetry states in even ruthenium isotopes”, Phys. Rev. C, Vol. 52, (1995), pp. 2969–2983.

    Article  ADS  Google Scholar 

  41. O. Scholten: The Interacting Boson Fermion Model and its Applications, Thesis (PhD), University of Groningen, 1980.

  42. A.R.H. Subber, S.J. Robinson, P. Hungerford, W.D. Hamilton, P. van Isacker, P. Park, K. Schreckenbach and G. Kolvin: “The level structure of 76Se and 78Se and the systematics of selenium isotopes within the framework of DDM”, J. Phys. G, Vol. 13, (1987), pp. 807–837.

    Article  ADS  Google Scholar 

  43. O. Scholten: The program package PHINT (KVI Reports), 1990.

  44. R. Bijker, A.E.L. Dieperink and O. Scholten: “Description of the Pt and Os isotopes in the interacting boson model”, Nucl. Phys. A, Vol. 344, (1980), pp. 207–232.

    Article  ADS  Google Scholar 

  45. J. Stachel, P. van Isacker and K. Heyde: “Interpretation of the A ∼ 100 transitional region in the framework of the interacting boson model”, Phys. Rev. C, Vol. 25, (1982), pp. 650–657.

    Article  ADS  Google Scholar 

  46. J.C. Wells, R.L. Robinson, H.J. Kim, R.O. Sayer, R.B. Piercey, A.B. Ramayya, J.H. Hamilton and C.F. Maguire: “High-spin states and band structure in 76Se”, Phys. Rev. C, Vol. 22, (1980), pp. 1126–1137.

    Article  ADS  Google Scholar 

  47. T. Hayakawa, Y. Toh, M. Oshima, A. Osa, M. Koizumi, Y. Hatsukawa, J. Katakura, M. Matsuda, Y. Utsuno, T. Morikawa, H. Kusakari, M. Sugawara and T. Czosnyka: “Projectile Coulomb excitation of 78Se”, Phys. Rev.C, Vol. 67, (2003), pp. 064310.

    Article  ADS  Google Scholar 

  48. R. Schwengner, G. Winter, J. Döring, L. Funke, P. Kemnitz, E. Will, A.E. Sobov, A.D. Efimov, M.F. Kudojarov, I.Kh. Lemberg, A.S. Mishin, A.A. Pasternak, L.A. Rassadin and I.N. Chugunov: “Collective and two-particle excitations in 78Se” Z. Phys. A,, Vol. 326, (1987), pp. 287–299.

    Google Scholar 

  49. R.B. Firestone: Table of Isotopes, John Wiley & Sons Inc., New York, 1996.

    Google Scholar 

  50. E. Padilla-Rodal, et.al.: “B(E2) Measurements for Radioactive Neutron-Rich Ge Isotopes: Reaching the N=50 Closed Shell”, Phys. Rev. Lett., Vol. 94, (2005), pp. 122501.

    Google Scholar 

  51. R.L. Christensen, H.G. Bennewitz, D.R. Hamilton, J.B. Reynolds and H.H. Stroke: “Spin of 27-Hour Arsenic 76”, Phys. Rev., Vol. 107, (1957), pp. 633–634.

    Article  ADS  Google Scholar 

  52. D. De Frenne, H. Thierens, E. Jacobs, P. De Gelder, P. D'hondt, A. DeClercq, K. Heyde and A.J. Deruytter: “β decay of 102Tc”, Phys. Rev. C, Vol. 18, (1978), pp. 486–489.

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

About this article

Cite this article

Türkan, N., Olgun, D. & Uluer, Ý. IBM-2 calculations of some even-even selenium nuclei. centr.eur.j.phys. 4, 124–154 (2006). https://doi.org/10.1007/s11534-005-0011-9

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11534-005-0011-9

Keywords

PACS (2006)

Navigation