Drip-Line Nucleus of Z=59 Nuclei in the Relativistic Mean-Field Theory

ZHOU Yong; LI JunQing; MA ZhongYu; CHEN BaoQiu

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《中国物理C》（英文）编辑部

2024年10月30日

Chinese Physics C> 2000, Vol. 24> Issue(10) : 940-944

Drip-Line Nucleus of Z=59 Nuclei in the Relativistic Mean-Field Theory

Research Center of Nuclear Theory of National Laboratory of Heavy Ion Accelerator of Lanzhou,Lanzhou 730000,China2 Institute of Modern Physics,Lanzhou,the Chinese Academy of Sciences,Lanzhou 730000,China3 China Institute of Atomic Energy,Beijing 102413,China

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Abstract：
The possible neutron and proton drip line nuclei and their corresponding properties of Pr isotope chain are studied in the framework of the relativistic mean-field(RMF)theory with non-linear meson self-interactions. The pairing effect is treated by BCS method and the isospin dependent pairing strengths have been adopted.The‘blocking’method is used to deal with the last unpaired nucleon and the axially symmetric deformation is assumed.The theoretical results show that the nucleus ¹⁸⁵Pr could be determined as the last stable nucleus with respect to the nucleon emission on the neutron rich side from various aspects,while on the proton rich side,it is difficult to determine the proton drip-line nucleus in present studies.The reason is that on the proton rich side the Fermi surface increases faster towards the continuum state than that on the neutron rich side,where the BCS method fails,and the coupling between bound and continuum states should be taken into account.

References

[1]

. ZHOU Yong,LI JunQing,MA ZhongYu et al.High Energy Phys.and Nucl.Phys.(in Chinese),2000,24(8):748(周勇,李君清,马中玉等.高能物理与核物理,2000,24(8):748)2. Sugahara Y,Toki H.Nucl.Phys.,1994,A579:5573. Gambhir Y K,Ring P,Thimet A.Ann.of Phys.,1990,198:1324. Moeller P,Nix J R et al.Atomic Data and Nuclear Data Tables,1995,59:1855. Dobaczewski J et al.Phys.Rev.,1996,C53:2809

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ZHOU Yong, LI JunQing, MA ZhongYu and CHEN BaoQiu. Drip-Line Nucleus of Z=59 Nuclei in the Relativistic Mean-Field Theory[J]. Chinese Physics C, 2000, 24(10): 940-944.

ZHOU Yong, LI JunQing, MA ZhongYu and CHEN BaoQiu. Drip-Line Nucleus of Z=59 Nuclei in the Relativistic Mean-Field Theory[J]. Chinese Physics C, 2000, 24(10): 940-944. shu

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Received: 1999-07-07
Revised: 1900-01-01

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1.
沈阳化工大学材料科学与工程学院沈阳 110142

Drip-Line Nucleus of Z=59 Nuclei in the Relativistic Mean-Field Theory

Corresponding author: ZHOU Yong,

Research Center of Nuclear Theory of National Laboratory of Heavy Ion Accelerator of Lanzhou,Lanzhou 730000,China2 Institute of Modern Physics,Lanzhou,the Chinese Academy of Sciences,Lanzhou 730000,China3 China Institute of Atomic Energy,Beijing 102413,China

Received Date: 1999-07-07
Accepted Date: 1900-01-01
Available Online: 2000-10-05

Abstract: The possible neutron and proton drip line nuclei and their corresponding properties of Pr isotope chain are studied in the framework of the relativistic mean-field(RMF)theory with non-linear meson self-interactions. The pairing effect is treated by BCS method and the isospin dependent pairing strengths have been adopted.The‘blocking’method is used to deal with the last unpaired nucleon and the axially symmetric deformation is assumed.The theoretical results show that the nucleus ¹⁸⁵Pr could be determined as the last stable nucleus with respect to the nucleon emission on the neutron rich side from various aspects,while on the proton rich side,it is difficult to determine the proton drip-line nucleus in present studies.The reason is that on the proton rich side the Fermi surface increases faster towards the continuum state than that on the neutron rich side,where the BCS method fails,and the coupling between bound and continuum states should be taken into account.