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

  • H. H. Khudher Department of Physics, Faculty of Education for Girls, University of Kufa
  • A. K. Hasan Department of Physics, Faculty of Education for Girls, University of Kufa
  • F. I. Sharrad Department of Physics, College of Science, University of Kerbala
Keywords: IBM-1, energy levels, B(E2) values, potential energy surface, Xe isotopes


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 y-unstable-like characters.


R.B. Firestone. Table of Isotopes CD (Wiley, 1996).

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).

F. Iachello, A. Arima. Boson symmetries in vibrational nuclei. Phys. Lett. B 53, 309312 (1974).

A. Arima, F. Iachello. Collective nuclear states as representations of a SU(6) group. Phys. Rev. Lett. 35, 1069 (1975).

R. Kumar, S. Sharma, J.B. Gupta. Character of quasibands in 150Sm using IBM. Arm. J. Phys. 3(3), 150 (2010).

P. Cejnar, J. Jolie, R.F. Casten. Quantum phase transitions in the shapes of atomic nuclei. Rev. Mod. Phys. 82, 2155 (2010).

R.F. Casten, P. von Brentano. An extensive region of O(6)-like nuclei near A = 130. Phys. Lett. B 152, 22 (1985).

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).

S.A. Eid, S.M. Diab. Nuclear structure of 122−134Xe isotopes. Progress in Physics 1, 54 (2012).

Z.K. Pomorski, B. Nerlo-Pomorska. High spin behavior of nuclei with proton number 40–60. Z. Phys. A 283, 383 (1977).

B.S. Rawat, P.K. Chattopadhyay. The breaking of O(6) symmetry in 118Xe and 120Xe. Pramana-J. Phys. 53, 911 (1999).

H. Kusakari, M. Sugawara. Study of 122−130Xe with the extended interacting-boson approximation. Z. Phys. A 317, 287 (1984).

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).

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).

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).

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).

B. Wang. Systematics of and parameters of O(6)-like nuclei in the interacting boson model. Chin. Phys. Lett. 14, 503 (1997).

R.F. Casten, D.D Warner. The interacting boson approximation. Rev. Mod. Phys. 60, 389 (1988).

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).

F. Iachallo, A. Arima. The Interacting Boson Model (Cambridge Univ. Press, 1987) [ISBN: 0-521-30282-X].

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).

K. Kitao, Y. Tendow, A. Hashizume. Nuclear data sheets for A = 120. Nucl. Data Sheets 96, 241 (2002).

T. Tamura. Nuclear data sheets for A = 122. Nucl. Data Sheets 108, 455 (2007).

J. Katakura, Z.D. Wu. Nuclear data sheets for A = 124. Nucl. Data Sheets 109, 1655 (2008).

J. Katakura, K. Kitao. Nuclear data sheets for A = 126. Nucl. Data Sheets 97, 765 (2002).

A. Arima, F. Iachello. Interacting boson model of collective nuclear states IV. The O(6) limit. Ann. Phys. NY 123, 468 (1979).

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).

K. Abrahams, K. Allaartand, A.E.L. Dieperink. Nuclear Structure (Plenum Press, 1981).

H.R. Yazar, U. Erdem. Nature of excited states of gadolinium isotopes. Chin. J. Phys. 46, 270 (2008).

W.D. Hamilton. The Electromagnetic Interaction in Nuclear Spectroscopy (American Elsevier Publishing Company, 1975) [ISBN: 444-10519].

L. Coquard. Ph.D. thesis (Technical Univ. Darmstadt, 2010).

How to Cite
Khudher, H., Hasan, A., & Sharrad, F. (2018). Calculation of Energy Levels, Transition Probabilities, and Potential Energy Surfaces for 120−126Xe Even-Even Isotopes. Ukrainian Journal of Physics, 62(2), 152.
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