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Current issue   Ukr. J. Phys. 2017, Vol. 62, N 2, p.152-158
https://doi.org/10.15407/ujpe62.02.0152    Paper

Khudher H.H.1, Hasan A.K.1, Sharrad F.I.2

1 Department of Physics, Faculty of Education for Girls, University of Kufa
(31001 Najaf, Iraq; e-mail: fadhil.altaie@gmail.com)
2 Department of Physics, College of Science, University of Kerbala
(56001 Karbala, Iraq; e-mail: fadhil.altaie@gmail.com)

Transition Probabilities, and Potential Energy Surfaces for 120−126Xe Even-Even Isotopes

Section: Solid Matter
Original Author's Text: Ukrainian

Abstract: The interacting boson model (IBM-1) is used to calculate the energy levels, transition probabilities B(E2), and potential energy surfaces of some even 120−126Xe isotopes. The theoretical values are in good agreement with the experimental data. The potential energy surface is one of the nucleus properties, and it gives a final shape of nuclei. The contour plot of the potential energy surfaces shows that the 120−126Xe nuclei are deformed and have γ-unstable-like characters.

Key words: IBM-1, energy levels, B(E2) values, potential energy surface, Xe isotopes

References:

  1. R.B. Firestone. Table of Isotopes CD (Wiley, 1996).
  2. F. Pan, J.P. Draayer. New algebraic solutions for SO(6) - (5) transitional nuclei in the interacting boson model. Nucl. Phys. A 636, 156 (1998).
    https://doi.org/10.1016/S0375-9474(98)00207-3
  3. F. Iachello, A. Arima. Boson symmetries in vibrational nuclei. Phys. Lett. B 53, 309312 (1974).
    https://doi.org/10.1016/0370-2693(74)90389-X
  4. A. Arima, F. Iachello. Collective nuclear states as representations of a SU(6) group. Phys. Rev. Lett. 35, 1069 (1975).
    https://doi.org/10.1103/PhysRevLett.35.1069
  5. R. Kumar, S. Sharma, J.B. Gupta. Character of quasibands in 150Sm using IBM. Arm. J. Phys. 3(3), 150 (2010).
  6. P. Cejnar, J. Jolie, R.F. Casten. Quantum phase transitions in the shapes of atomic nuclei. Rev. Mod. Phys. 82, 2155 (2010).
    https://doi.org/10.1103/RevModPhys.82.2155
  7. R.F. Casten, P. von Brentano. An extensive region of O(6)-like nuclei near A = 130. Phys. Lett. B 152, 22 (1985).
    https://doi.org/10.1016/0370-2693(85)91131-1
  8. J. Dillingg, G. Audi, D. Beck, G. Bollen, S. Henry, F. Herfurth, A. Kellerbauer, H.-J. Kluge, D. Lunney, R.B. Moore, C. Scheidenberger, S. Schwarz, G. Sikler, J. Szerypo (ISOLDE collaboration). Direct mass measurements of neutron-deficient xenon isotopes with the ISOLTRAP mass spectrometer. Nucl. Phys. A 701, 520 (2002).
    https://doi.org/10.1016/S0375-9474(01)01638-4
  9. S.A. Eid, S.M. Diab. Nuclear structure of 122−134Xe isotopes. Progress in Physics 1, 54 (2012).
  10. Z.K. Pomorski, B. Nerlo-Pomorska. High spin behavior of nuclei with proton number 40–60. Z. Phys. A 283, 383 (1977).
    https://doi.org/10.1007/BF01409519
  11. B.S. Rawat, P.K. Chattopadhyay. The breaking of O(6) symmetry in 118Xe and 120Xe. Pramana-J. Phys. 53, 911 (1999).
  12. H. Kusakari, M. Sugawara. Study of 122−130Xe with the extended interacting-boson approximation. Z. Phys. A 317, 287 (1984).
    https://doi.org/10.1007/BF01438360
  13. B. Sahaa, A. Dewald, O. Moller, R. Peusquens, K. Jessen, A. Fitzler, T. Klug, D. Tonev, P. von Brentano, J. Jolie, B.J.P. Gall, P. Petkov. Probing nuclear structure of 124Xe Phys. Rev. C 70, 034313 (2004).
    https://doi.org/10.1103/PhysRevC.70.034313
  14. H. Kusakari, K. Kitao, K. Sato, M. Sugawara, H. Katsuragawa. High-spin states in even-mass Xe nuclei and backbending phenomena. Nucl. Phys. A 401, 445 (1983).
    https://doi.org/10.1016/0375-9474(83)90359-7
  15. L. Coquard, G. Rainovski, N. Pietralla, T. Ahn, L. Bettermann, M.P. Carpenter, R.V.F. Janssens, J. Leske, C.J. Lister, O. M¨oller, T. M¨oller, W. Rother, V. Werner, S. Zhu. O(6)-symmetry breaking in the -soft nucleus 126Xe and its evolution in the light stable xenon isotopes. Phys. Rev. C 83, 044318 (2011).
    https://doi.org/10.1103/PhysRevC.83.044318
  16. M. Serris, C.T. Papadopoulos, R. Vlastou, C.A. Kalfas, S. Kossionides, N. Fotiades, S. Harissopulos, C.W. Beausang, M.J. Joyce, E.S. Paul, M.A. Bentley, S. Araddad, J. Simpson, J.F. Sharpey-Schafer. High spin structures of 122Xe. Z. Phys. A 358, 37 (1997).
    https://doi.org/10.1007/s002180050274
  17. B. Wang. Systematics of and parameters of O(6)-like nuclei in the interacting boson model. Chin. Phys. Lett. 14, 503 (1997).
    https://doi.org/10.1088/0256-307X/14/7/007
  18. R.F. Casten, D.D Warner. The interacting boson approximation. Rev. Mod. Phys. 60, 389 (1988).
    https://doi.org/10.1103/RevModPhys.60.389
  19. F.I. Sharrad, H.Y. Abdullah, N. Al-Dahan, A.A. Mohammed-Ali, A.A. Okhunov, H.A. Kassim. SHAPE transition and collective excitations in neutron–rich 170−178Yb nuclei. Rom. J. Phys. 57, 1346 (2012).
  20. F. Iachallo, A. Arima. The Interacting Boson Model (Cambridge Univ. Press, 1987) [ISBN: 0-521-30282-X].
    https://doi.org/10.1017/CBO9780511895517
  21. R. Bijker, A.E.L. Dieperink, O. Scholten, R. Spanhoff. Description of the Pt and Os isotopes in the interacting boson model. Nucl. Phys. A 344, 207 (1980).
    https://doi.org/10.1016/0375-9474(80)90673-9
  22. http://www.nndc.bnl.gov/chart/getENSDFDatasets.jsp.
  23. K. Kitao, Y. Tendow, A. Hashizume. Nuclear data sheets for A = 120. Nucl. Data Sheets 96, 241 (2002).
    https://doi.org/10.1006/ndsh.2002.0012
  24. T. Tamura. Nuclear data sheets for A = 122. Nucl. Data Sheets 108, 455 (2007).
    https://doi.org/10.1016/j.nds.2007.02.001
  25. J. Katakura, Z.D. Wu. Nuclear data sheets for A = 124. Nucl. Data Sheets 109, 1655 (2008).
    https://doi.org/10.1016/j.nds.2008.06.001
  26. J. Katakura, K. Kitao. Nuclear data sheets for A = 126. Nucl. Data Sheets 97, 765 (2002).
    https://doi.org/10.1006/ndsh.2002.0020
  27. A. Arima, F. Iachello. Interacting boson model of collective nuclear states IV. The O(6) limit. Ann. Phys. NY 123, 468 (1979).
    https://doi.org/10.1016/0003-4916(79)90347-6
  28. F.I. Sharrad, H.Y. Abdullah, N. AL-Dahan, N.M. Umran, A.A. Okhunov, H. Abu Kassim. Low-lying states of 184W and 184Os nuclei. Chinese Phys. C 37, 034101 (2013).
    https://doi.org/10.1088/1674-1137/37/3/034101
  29. K. Abrahams, K. Allaartand, A.E.L. Dieperink. Nuclear Structure (Plenum Press, 1981).
    https://doi.org/10.1007/978-1-4684-3950-2
  30. H.R. Yazar, U. Erdem. Nature of excited states of gadolinium isotopes. Chin. J. Phys. 46, 270 (2008).
  31. W.D. Hamilton. The Electromagnetic Interaction in Nuclear Spectroscopy (American Elsevier Publishing Company, 1975) [ISBN: 444-10519].
  32. L. Coquard. Ph.D. thesis (Technical Univ. Darmstadt, 2010).