{"title":"连续体变形相对论哈特里-波哥留布夫理论中铀同位素的内裂变势垒* * 本研究得到河南省自然科学基金(242300421156,202300410480)、国家自然科学基金(12141501,U2032141,11935003)、北京大学核物理与核技术国家重点实验室(NPT2023ZX03)、北京师范大学超级计算中心和北京大学高性能计算平台的部分资助","authors":"Wei Zhang, Jin-Ke Huang, Ting-Ting Sun, Jing Peng, Shuang-Quan Zhang","doi":"10.1088/1674-1137/ad62dd","DOIUrl":null,"url":null,"abstract":"The inner fission barriers of the even-even uranium isotopes from the proton to the neutron drip line are examined using the deformed relativistic Hartree-Bogoliubov theory in continuum. A periodic-like evolution for the ground state shapes is shown with respect to the neutron number, <italic toggle=\"yes\">i.e.</italic>, spherical shapes at shell closures <inline-formula>\n<tex-math><?CDATA $ N= $?></tex-math>\n<inline-graphic xlink:href=\"cpc_48_10_104105_M1.jpg\" xlink:type=\"simple\"></inline-graphic>\n</inline-formula>126, 184, 258, and prolate dominated shapes between them. Analogous to the shape evolution, the inner fission barriers also exhibit a periodic-like behavior: peaks at the shell closures and valleys in the mid-shells. The triaxial effect on the inner fission barrier is evaluated using triaxial relativistic mean field calculations combined with a simple BCS method for pairing. When the triaxial correction is included, the inner barrier heights show good consistency with available empirical data. Additionally, the evolution from the proton to the neutron drip line aligns with results from the multi-dimensionally constrained relativistic mean field theory. A flat valley in the fission barrier height is predicted around the neutron-rich nucleus <inline-formula>\n<tex-math><?CDATA $ ^{318} $?></tex-math>\n<inline-graphic xlink:href=\"cpc_48_10_104105_M2.jpg\" xlink:type=\"simple\"></inline-graphic>\n</inline-formula>U which may play a role of fission recycling in astrophysical <italic toggle=\"yes\">r</italic>-process nucleosynthesis.","PeriodicalId":10250,"journal":{"name":"中国物理C","volume":"9 1","pages":""},"PeriodicalIF":3.6000,"publicationDate":"2024-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Inner fission barriers of uranium isotopes in the deformed relativistic Hartree-Bogoliubov theory in continuum* * This work was partly supported by the Natural Science Foundation of Henan Province, China (242300421156, 202300410480), the National Natural Science Foundation of China (12141501, U2032141, 11935003), the State Key Laboratory of Nuclear Physics and Technology, Peking University (NPT2023ZX03), the Super Computing Center of Beijing Normal University, and High-performance Computing Platform of Peking University\",\"authors\":\"Wei Zhang, Jin-Ke Huang, Ting-Ting Sun, Jing Peng, Shuang-Quan Zhang\",\"doi\":\"10.1088/1674-1137/ad62dd\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The inner fission barriers of the even-even uranium isotopes from the proton to the neutron drip line are examined using the deformed relativistic Hartree-Bogoliubov theory in continuum. A periodic-like evolution for the ground state shapes is shown with respect to the neutron number, <italic toggle=\\\"yes\\\">i.e.</italic>, spherical shapes at shell closures <inline-formula>\\n<tex-math><?CDATA $ N= $?></tex-math>\\n<inline-graphic xlink:href=\\\"cpc_48_10_104105_M1.jpg\\\" xlink:type=\\\"simple\\\"></inline-graphic>\\n</inline-formula>126, 184, 258, and prolate dominated shapes between them. Analogous to the shape evolution, the inner fission barriers also exhibit a periodic-like behavior: peaks at the shell closures and valleys in the mid-shells. The triaxial effect on the inner fission barrier is evaluated using triaxial relativistic mean field calculations combined with a simple BCS method for pairing. When the triaxial correction is included, the inner barrier heights show good consistency with available empirical data. Additionally, the evolution from the proton to the neutron drip line aligns with results from the multi-dimensionally constrained relativistic mean field theory. 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引用次数: 0
摘要
利用连续体变形相对论哈特里-波哥留布夫理论,研究了偶偶态铀同位素从质子到中子滴落线的内部裂变势垒。基态形状随中子数呈周期性演化,即在壳闭合 126、184 和 258 时呈球形,在这三者之间呈长方形为主。与形状演变类似,内部裂变势垒也表现出周期性的行为:在壳闭合处出现峰值,在壳中间出现谷值。利用三轴相对论均场计算结合简单的 BCS 配对方法,对内部裂变势垒的三轴效应进行了评估。当包括三轴修正时,内部势垒高度显示出与现有经验数据的良好一致性。此外,从质子滴落线到中子滴落线的演变与多维约束相对论均场理论的结果一致。预测在富中子核 U 周围的裂变势垒高度会出现一个平谷,这可能在天体物理 r 过程核合成中起到裂变再循环的作用。
Inner fission barriers of uranium isotopes in the deformed relativistic Hartree-Bogoliubov theory in continuum* * This work was partly supported by the Natural Science Foundation of Henan Province, China (242300421156, 202300410480), the National Natural Science Foundation of China (12141501, U2032141, 11935003), the State Key Laboratory of Nuclear Physics and Technology, Peking University (NPT2023ZX03), the Super Computing Center of Beijing Normal University, and High-performance Computing Platform of Peking University
The inner fission barriers of the even-even uranium isotopes from the proton to the neutron drip line are examined using the deformed relativistic Hartree-Bogoliubov theory in continuum. A periodic-like evolution for the ground state shapes is shown with respect to the neutron number, i.e., spherical shapes at shell closures 126, 184, 258, and prolate dominated shapes between them. Analogous to the shape evolution, the inner fission barriers also exhibit a periodic-like behavior: peaks at the shell closures and valleys in the mid-shells. The triaxial effect on the inner fission barrier is evaluated using triaxial relativistic mean field calculations combined with a simple BCS method for pairing. When the triaxial correction is included, the inner barrier heights show good consistency with available empirical data. Additionally, the evolution from the proton to the neutron drip line aligns with results from the multi-dimensionally constrained relativistic mean field theory. A flat valley in the fission barrier height is predicted around the neutron-rich nucleus U which may play a role of fission recycling in astrophysical r-process nucleosynthesis.
期刊介绍:
Chinese Physics C covers the latest developments and achievements in the theory, experiment and applications of:
Particle physics;
Nuclear physics;
Particle and nuclear astrophysics;
Cosmology;
Accelerator physics.
The journal publishes original research papers, letters and reviews. The Letters section covers short reports on the latest important scientific results, published as quickly as possible. Such breakthrough research articles are a high priority for publication.
The Editorial Board is composed of about fifty distinguished physicists, who are responsible for the review of submitted papers and who ensure the scientific quality of the journal.
The journal has been awarded the Chinese Academy of Sciences ‘Excellent Journal’ award multiple times, and is recognized as one of China''s top one hundred key scientific periodicals by the General Administration of News and Publications.