Nuclear Shape Phase Transition in the Shell Model

HOU Zhan-Feng; ZHANG Yu; LIU Yu-Xin

Chinese Physics C> 2006, Vol. 30> Issue(S2) : 48-52

Nuclear Shape Phase Transition in the Shell Model

Department of Physics, Peking University, Beijing 100871, China2 The Key Laboratory of Heavy Ion Physics, Ministry of Education, Beijing 100871, China

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Abstract：
By comparing the values of some quantities obtained in the SD pair truncated shell model and the dynamical symmetries of the interacting boson model(IBM), we identify the nuclear shape phases in the shell model. We study the dependence of the nuclear shape phases on the monopole-pair, quadrupole-pair and quadrupole-quadrupole interaction strength, respectively, in the shell model. We also investigate the vibrational to γ-soft rotational phase transition in the shell model. The obtained results coincide with those obtained in the IBM very well.

References

[1]

. Iachello F, Arima A. The Interacting Boson Model. Cam-bridge, England: Cambridge University Press, 19872. Casten R F, Warner D D. Rev. Mod. Phys., 1988, 60: 3893. Ginocchio J, Kirson M. Phys. Rev. Lett., 1980, 44: 17444. Dieperink A E L, Scholten O, Iachello F. Phys. Rev. Lett.,1980, 44: 17475. Bohr A, Mottelson B R. Phys. Scr., 1980, 22: 4686. van Isacker P, CHEN J Q. Phys. Rev., 1981, C24: 6847. FENG D H, Gilmore R, Deans S R. Phys. Rev., 1981, C23:12548. Jolie J, Casten R F, von Brentano P et al. Phys. Rev. Lett.,2001, 87: 1625019. Leviatan A, Ginocchio J N. Phys. Rev. Lett., 2003, 90:21250110. Rowe D G. Phys. Rev. Lett., 2004, 93: 12250211. Iachello F, Zamfir N V. Phys. Rev. Lett., 2004, 92: 21250112. Cejnar P. Phys. Rev. Lett., 2003, 90: 11250113. PAN F, Draayer J P, LUO Y A. Phys. Lett., 2003, B576:29714. Rowe D J. Nucl. Phys., 2004, A745: 47; Rowe D J, TurnerP S, Rosensteel G. Phys. Rev. Lett., 2004, 93: 232502;Turner P S, Rowe D J. Nucl. Phys., 2005, A756: 333;Rosensteel G, Rowe D J. Nucl. Phys., 2005, A759: 92;Rowe D J, Thiamova G. Nucl. Phys., 2005, A760: 5915. LIU Y X, MU L Z, WEI H Q. Phys. Lett., 2006, B633: 4916. Iachello F, Talmi I. Rev. Mod. Phys., 1987, 59: 3917. Rowe D J, Bahri C, Wijesundera W. Phys. Rev. Lett., 1998,80: 4394; Bahri C, Rowe D J, Wijesundera W. Phys. Rev.,1998, C58: 153918. LUO Y A, PAN F, WANG T et al. Phys. Rev., 2006, C73:04432319. Kishimoto T, Tamura T. Nucl. Phys., 1972, A192: 24620. Takada K. Nucl. Phys., 1985, A439: 48921. Higashiyama K, Yoshinaga N, Tanabe K. Phys. Rev., 2002,C65: 05431722. Dyson F G. Phys. Rev., 1956, 102: 1217, 123023. Janssen D, Donau F, Frauendorf S. Nucl. Phys., 1971,A172: 14524. Klein A, Marshalek E R. Rev. Mod. Phys., 1991, 63: 37525. CHEN J Q. Nucl. Phys., 1997, A626: 686; CHEN J Q,LUO Y A. Nucl. Phys., 1998, A639: 615; LUO Y A, CHENJ Q, Draayer J P. Nucl. Phys., 2000, A669: 101; ZHAO YM, Yoshinaga N, Yamaji S et al. Phys. Rev., 2000, C62:014304; LUO Y A, PAN F, Bahri C et al. Phys. Rev., 2005,C71: 04430426. Uher R A, Sorensen R A. Nucl. Phys., 1966, 86: 127. Bes D R, Sorensen R A. In: Baranger. M, Vogt. E ed. Ad-vance in Nuclear Physics. Vol. 2. New York: Plenum Press,1969. 12928. Elliott J P. Proc. R. Soc. London, 1958, A245: 128, 562

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[19]	HU JI-MIN . A CONTINUOUS MEDIUM MODEL OF ATOMIC NUCLEI. Chinese Physics C, 1981, 5(2): 244-254.
[20]	LIAO JI-ZHI . SHELL MODEL CALCULATIONS ON 1f_7/2 NUCLEI. Chinese Physics C, 1979, 3(6): 734-748.

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HOU Zhan-Feng, ZHANG Yu and LIU Yu-Xin. Nuclear Shape Phase Transition in the Shell Model[J]. Chinese Physics C, 2006, 30(S2): 48-52.

HOU Zhan-Feng, ZHANG Yu and LIU Yu-Xin. Nuclear Shape Phase Transition in the Shell Model[J]. Chinese Physics C, 2006, 30(S2): 48-52. shu

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Received: 2006-10-13
Revised: 1900-01-01

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通讯作者: 陈斌, bchen63@163.com

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沈阳化工大学材料科学与工程学院沈阳 110142

Nuclear Shape Phase Transition in the Shell 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

Received Date: 2006-10-13

Accepted Date: 1900-01-01

Available Online: 2006-01-03

Abstract: By comparing the values of some quantities obtained in the SD pair truncated shell model and the dynamical symmetries of the interacting boson model(IBM), we identify the nuclear shape phases in the shell model. We study the dependence of the nuclear shape phases on the monopole-pair, quadrupole-pair and quadrupole-quadrupole interaction strength, respectively, in the shell model. We also investigate the vibrational to γ-soft rotational phase transition in the shell model. The obtained results coincide with those obtained in the IBM very well.

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Nuclear Shape Phase Transition in the Shell Model

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