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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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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