Boson Number Dependence of the Quantities Sensitive to Phase Transition in the Interacting Bosons Model

  • We study the features of nuclear shape phase transition in the framework of interacting boson model(IBM). By comparing the critical behaviors in the U(5)-O(6) and U(5)-SU(3) transitional regions with the increasing of the total boson number, we find out that the B(E2) ratios B(E241→21)/B(E2};21→01),B(E2;02→21)/B(E2;21→01) and so on can be taken as the effective order parameters to distinguish between the first and second phase transition.
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  • [1] . Arima A, Iachello F. Ann. Phys., 1976, 99: 253; Ann.Phys., 1978, 111: 201; Scholten O, Iachello F, Arima A.Ann. Phys., 1978, 115: 325; Iachello F, Arima A. The Interacting Boson Model. Cambridge: Cambridge University Press, 19782. FENG D H, Gilmore R, Dean S R. Phys. Rev., 1981, C23: 12543. Jolie J, Cejnar P, Casten R F et al. Phys. Rev. Lett., 2002,89: 1825024. Iachello F, Zamfir N V. Phys. Rev. Lett., 2004, 92: 2125015. Rowe D J. Phys. Rev. Lett., 2004, 93: 1225026. Rowe D J, Turner P S, Rosensteel G. Phys. Rev. Lett.,2004, 93: 2325027. Warner D D, Casten R F. Phys. Rev., 1983, C28: 19788. Iachello F. Phys. Rev. Lett., 2001, 87: 0525029. Iachello F. Phys. Rev. Lett., 2000, 85: 358010. PAN F, ZHANG Y, Draayer J P. J. Phys., 2005, G31: 103911. Casten R F, Zamfir N V. Phys. Rev. Lett., 2000, 85: 358412. Casten R F, Zamfir N V. Phys. Rev. Lett., 2001, 87:05250313. Tonev D, Dewald A, Klug T et al. Phys. Rev., 2004, C69:03433414. Scholten O, Iachello F, Arima A. Ann. Phys., 1978, 115:32515. arXiv:nucl-th/0312055 v1 16 Dec 200316. Casten R F, Kusnezov Dimitri, Zamfir N V. Phys. Rev.Lett., 1999, 82: 500017. PAN Feng, Draayer J P, LUO Yan-An. Phys. Lett., 2003,B576: 297|30218. Iachello F, Levine R D. Algebraic Theory of Molecules. Oxford: Oxford University, 1995
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ZHANG Yu, HOU Zhan-Feng and LIU Yu-Xin. Boson Number Dependence of the Quantities Sensitive to Phase Transition in the Interacting Bosons Model[J]. Chinese Physics C, 2006, 30(S2): 90-93.
ZHANG Yu, HOU Zhan-Feng and LIU Yu-Xin. Boson Number Dependence of the Quantities Sensitive to Phase Transition in the Interacting Bosons Model[J]. Chinese Physics C, 2006, 30(S2): 90-93. shu
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Received: 2006-10-16
Revised: 1900-01-01
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Boson Number Dependence of the Quantities Sensitive to Phase Transition in the Interacting Bosons Model

    Corresponding author: LIU Yu-Xin,
  • Department of Physics, Peking University, Beijing 100871, China2 The Key Laboratory of Heavy Ion Physics, Ministry of Education, Beijing 100871, China

Abstract: We study the features of nuclear shape phase transition in the framework of interacting boson model(IBM). By comparing the critical behaviors in the U(5)-O(6) and U(5)-SU(3) transitional regions with the increasing of the total boson number, we find out that the B(E2) ratios B(E241→21)/B(E2};21→01),B(E2;02→21)/B(E2;21→01) and so on can be taken as the effective order parameters to distinguish between the first and second phase transition.

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