Systematic Analysis of E(5) Critical-Point Nuclei in A～130 Region with Relativistic Mean Field Theory

SHENG Zong-Qiang; GUO Jian-You; MENG Ying

Chinese Physics C> 2007, Vol. 31> Issue(6) : 558-563

Systematic Analysis of E(5) Critical-Point Nuclei in A～130 Region with Relativistic Mean Field Theory

Department of Mathematics & Physics, Anhui University of Science and Technology, Huainan 232001, China2 School of Physics & Material, Anhui University, Hefei 230039, China

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The shape phase transition between spherical U(5) and γ-unstable O(6) nuclei is investigated systemically for the nuclei in the A～130 region by the constrained relativistic mean field theory. By examining potential energy surfaces and neutron Fermi energies, we suggest that ¹³⁶Ba and ^132,134Xe are possible nuclei with E(5) symmetry, which is favored by the observed ratio R_4/2=(E+41－E+01)/(E+21－E+01). While the RMF predicted E(5) symmetry or ^128,130,132Te cannot be supported by the observed ratio R_4/2. Whether these nuclei are critical-point nuclei should further be examined in experiments.

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[1]

. Iachello F, Arima A. The Interacting Boson Model. Cambridge:Cambridge University Press, 19872. Iachello F. Phys. Rev. Lett., 2001, 87: 0525023. Iachello F. Phys. Rev. Lett., 2000, 85: 35804. Casten R F, Zam r N V. Phys. Rev. Lett., 2000, 85: 35845. Casten R F, Zam r N V. Phys. Rev. Lett., 2001, 87: 0525036. Clark R M, Cromaz M, Deleplanque M A et al. Phys. Rev.,2004, C69: 0643227. Clark R M, Cromaz M, Deleplanque M A et al. Phys. Rev.,2003, C68: 0373018. Dennis Bonatsos. Phase Transitions: Summary of DiscussionSession II of Camerino 2005, xxx.lanl.gov, nuclth/0512091, 20059. Leviatan A, Ginocchio J N. Phys. Rev. Lett., 2003, 90:21250110. Caprio M A. Phys. Rev., 2004, C69: 04430711. Bonatsos D, Lenis D, Minkov N et al. Phys. Rev., 2004,C69: 01430212. Bonatsos D, Lenis D, Minkov N et al. Phys. Rev., 2004,C70: 02430513. Bonatsos D, Lenis D, Minkov N et al. Phys. Lett., 2004,B584: 4014. Dusling K, Pietralla N. Phys. Rev., 2005, C72: 01130315. Bizzeti P G, Bizzeti-Sona A M. Eur. Phys. J., 2004, A20:179; Phys. Rev., 2004, C70: 06431916. Fortunato L. Eur. Phys. J., 2005, A26(Supplement 1): 117. Vretenar D, Afanasjev A V, Lalazissis G A et al. PhysicsReports, 2005, 409: 10118. MENG J, Toki H, ZHOU S G et al. Progress in Particleand Nuclear Physics, 2006, 57: 47019. MENG J, ZHANG W, ZHOU S G et al. Eur. Phys. J.,2005, A25: 2320. YU M, ZHANG P F, RUAN T N et al. Int. J. Mod. Phys.,2006, E15: 93921. SHENG Z Q, GUO J Y. Mod. Phys. Lett., 2005, A20: 271122. Fossion R, Bonatsos D, Lalazissis1 G A. Phys. Rev., 2006,C73: 04431023. Gambhir Y, Ring P, Thimet A. Ann. Phys. (N.Y.), 1990,198: 13224. ZHOU S G, MENG J, Ring P. Phys. Rev., 2003, C68:03432325. Ring P, Schuck P. The Nuclear Many Body Problem.Springer, 198026. LONG W H, MENG J, Giai N V et al. Phys. Rev., 2004,C69: 03431927. Lalazissis G A, Konig J, Ring P. Phys. Rev., 1997, C55:54028. Sugahara Y. PhD Thesis, Tokyo Metropolitan University,199429. Audi G, Wapstra A H. Nucl. Phys., 1995, A595: 40930. Raman S, Nestor C W, Tikkanen P. Jr. At. Data Nucl.Data Tables, 2001, 78: 131. Nuclear Data Sheets, as of June 2005

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SHENG Zong-Qiang, GUO Jian-You and MENG Ying. Systematic Analysis of E(5) Critical-Point Nuclei in A～130 Region with Relativistic Mean Field Theory[J]. Chinese Physics C, 2007, 31(6): 558-563.

SHENG Zong-Qiang, GUO Jian-You and MENG Ying. Systematic Analysis of E(5) Critical-Point Nuclei in A～130 Region with Relativistic Mean Field Theory[J]. Chinese Physics C, 2007, 31(6): 558-563. shu

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Received: 2006-09-04
Revised: 2007-01-21

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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

Systematic Analysis of E(5) Critical-Point Nuclei in A～130 Region with Relativistic Mean Field Theory

Corresponding author: GUO Jian-You,

Department of Mathematics & Physics, Anhui University of Science and Technology, Huainan 232001, China2 School of Physics & Material, Anhui University, Hefei 230039, China

Received Date: 2006-09-04

Accepted Date: 2007-01-21

Available Online: 2007-06-05

Abstract: The shape phase transition between spherical U(5) and γ-unstable O(6) nuclei is investigated systemically for the nuclei in the A～130 region by the constrained relativistic mean field theory. By examining potential energy surfaces and neutron Fermi energies, we suggest that ¹³⁶Ba and ^132,134Xe are possible nuclei with E(5) symmetry, which is favored by the observed ratio R_4/2=(E+41－E+01)/(E+21－E+01). While the RMF predicted E(5) symmetry or ^128,130,132Te cannot be supported by the observed ratio R_4/2. Whether these nuclei are critical-point nuclei should further be examined in experiments.

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Systematic Analysis of E(5) Critical-Point Nuclei in A～130 Region with Relativistic Mean Field Theory

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