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《中国物理C》（英文）编辑部
2024年10月30日
Chinese Physics C> 2013, Vol. 37> Issue(12) : 124101 DOI: 10.1088/1674-1137/37/12/124101

Description of 150Nd nucleus by a new alternative scheme

  • A new scheme was recently proposed in which the usual SU(3) quadrupole-quadrupole interaction was replaced by an O(6) cubic interaction in the Interacting Boson Model, and also successfully applied to the description of 152Sm for the N=90 rare earth isotones with X(5) symmetry. By using this new scheme, in the present work, we further explore the properties of another candidate of 150Nd for the N=90 with X(5) symmetry. The low-lying energy levels and E2 transition rates are calculated and compared with the experimental data. The results show that the new scheme can also reasonably describe the experimental low-lying spectrum and the intraband and the interband E2 transitions for 150Nd. However, for the low-lying spectrum, the O(6) cubic interaction seems better in describing the energy levels, especially in higher excited states and γ band, yet the 02+ level within the β band is lower than the corresponding experimental value and the U(5)-SU(3) scheme seems better to describe the low-lying levels of β band; and for the B(E2) transition, for the intraband transitions within the ground band and some interband transitions between the β band and the ground band, the results from O(6) cubic interaction are better than those from SU(3) quadrupole-quadrupole interaction, yet of which seems better to describe the intraband E2 transitions within β band. The present work is very meaningful in helping us to understand in depth the new characteristics of symmetry by the higher order O(6) cubic interaction.
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    [1] Sachdev S. Quantum Phase Transistions. Cambridge: Cambrige University Press, 1999[2] Rowe D J, Thiamova G. Nucl. Phys. A, 2005, 760: 59[3] Thiamova G. Eur. Phys. J. A, 2010, 45: 81[4] Fortunato L, Alonso C E, Arias J M, García-Ramos J E, Vitturi A. Phys. Rev. C, 2011, 84: 014326[5] Feng D H, Gilmore R, Deans S R. Phys. Rev. C, 1981, 23: 1254[6] Jolie J, Cejnar P, Casten R F, Heinze S, Linnemann A, Werner V. Phys. Rev. Lett., 2002, 89: 182502[7] Iachello F, Zamfir N V. Phys. Rev. Lett., 2004, 92: 212501[8] Zamfir N V, von Brentano P, Casten R F, Jolie J. Phys. Rev. C, 2002, 66 : 021304(R)[9] Werner V, von Brentano P, Casten R F, Jolie J. Phys. Lett. B, 2002, 527: 55[10] Arima A, Iachello F. Ann. Phys. (N.Y.), 1976, 99 : 253[11] Arima A, Iachello F. Ann. Phys. (N.Y.), 1978, 111: 201[12] Arima A, Iachello F. Ann. Phys. (N.Y.), 1979, 123: 468[13] Casten R F. Interacting Bose-Fermi System. New York: Plenum Press, 1981[14] Dieperink A E L, Scholten O, Iachello F. Phys. Rev. Lett., 1980, 44: 1747[15] Dieperink A E L, Scholten O. Nucl. Phys. A, 1980, 346 : 125[16] FENG D H, Gilmore R, Deans S R. Phys. Rev. C, 1981, 23 : 1254[17] Scholten O, Iachello F, Arima A. Ann. Phys. (N. Y.), 1978, 115: 325[18] Iachello F. Phys. Rev. Lett., 2001, 87 : 052502[19] Casten R F, Zamfir N V. Phys. Rev. Lett., 2001, 87 : 052503[20] Pan F, Draayer J P, Luo Y. Phys. Lett. B, 2003, 576 : 297[21] Rosensteela G, Rowe D J. Nucl. Phys. A, 2005, 759 : 92[22] Fossion R, Alonso C E, Arias J M, Fortunato L, Vitturi A. Phys. Rev. C, 2007, 76: 014316[23] van Isacker P. Phys. Rev. Lett., 1999, 83 : 4269[24] Thiamova G, Cejinar P. Nucl. Phys. A, 2006, 765: 97[25] DAI L R, PAN F, LIU L, WANG L X, Draayer J P. Phys. Rev. C, 2012, 86: 034316[26] Warner D D, Casten R F. Phys. Rev. C, 1983, 28: 1798[27] Werner V, von Brentano P, Casten R F, Joile J. Phys. Lett. B, 2002, 527: 55[28] Draayer J P, Akiyama Y. Math J. Phys., 1973, 14: 1904[29] Akiyama Y, Draayer J P. Comput. Phys. Commun, 1973, 5: 405[30] Rosensteel G. Phys. Rev. C, 1990, 41: 730[31] Basu S K, Sonzogni A A. Nuclear Data Sheets, 2013, 114: 435[32] derMateosian E, Tuli J K. Nuclear Data Sheets, 1995, 75: 827[33] Jolos R V, von Brentano P. Phys. Rev. C, 2009, 80: 034308[34] Krücken R, Albanna B, Bialik C, Casten R F, Cooper J R, Dewald A, Zamfir N V, Barton C J, Beausang C W, Caprio M A, Hecht A A, Klug T, Novak J R, Pietralla N,von Brentano P. Phys. Rev. Lett., 2002, 88: 232501

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DAI Lian-Rong, ZHONG Wei-Wei, CONG Mei-Ling and WANG Li-Xing. Description of 150Nd nucleus by a new alternative scheme[J]. Chinese Physics C, 2013, 37(12): 124101. doi: 10.1088/1674-1137/37/12/124101
DAI Lian-Rong, ZHONG Wei-Wei, CONG Mei-Ling and WANG Li-Xing. Description of 150Nd nucleus by a new alternative scheme[J]. Chinese Physics C, 2013, 37(12): 124101.  doi: 10.1088/1674-1137/37/12/124101 shu
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Received: 2013-07-09
Revised: 1900-01-01
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Description of 150Nd nucleus by a new alternative scheme

    Corresponding author: DAI Lian-Rong,
  • Received Date: 2013-07-09
  • Accepted Date: 1900-01-01
  • Available Online: 2013-12-05

Abstract: A new scheme was recently proposed in which the usual SU(3) quadrupole-quadrupole interaction was replaced by an O(6) cubic interaction in the Interacting Boson Model, and also successfully applied to the description of 152Sm for the N=90 rare earth isotones with X(5) symmetry. By using this new scheme, in the present work, we further explore the properties of another candidate of 150Nd for the N=90 with X(5) symmetry. The low-lying energy levels and E2 transition rates are calculated and compared with the experimental data. The results show that the new scheme can also reasonably describe the experimental low-lying spectrum and the intraband and the interband E2 transitions for 150Nd. However, for the low-lying spectrum, the O(6) cubic interaction seems better in describing the energy levels, especially in higher excited states and γ band, yet the 02+ level within the β band is lower than the corresponding experimental value and the U(5)-SU(3) scheme seems better to describe the low-lying levels of β band; and for the B(E2) transition, for the intraband transitions within the ground band and some interband transitions between the β band and the ground band, the results from O(6) cubic interaction are better than those from SU(3) quadrupole-quadrupole interaction, yet of which seems better to describe the intraband E2 transitions within β band. The present work is very meaningful in helping us to understand in depth the new characteristics of symmetry by the higher order O(6) cubic interaction.

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