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Modification of mass formula by considering isospin effects

Modification of mass formula by considering isospin effects. 王宁，刘敏，吴锡真 广西师范大学 中国原子能科学研究院. 壳模型预言的超重岛. Prof. Hofmann, GSI. {. Skyrme-Hartree-Fock (SHF). E shell [MeV]. 0 -3 -6 -9 -12. E shell for Various S el fc onsistent Calculations M. Bender, et al., GSI-Preprint 2001-09.

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Modification of mass formula by considering isospin effects

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  1. Modification of mass formula by considering isospin effects 王宁，刘敏，吴锡真 广西师范大学 中国原子能科学研究院

  2. 壳模型预言的超重岛 Prof. Hofmann, GSI

  3. { Skyrme-Hartree-Fock (SHF) Eshell[MeV] 0 -3 -6 -9 -12 Eshellfor VariousSelfconsistent CalculationsM. Bender, et al., GSI-Preprint 2001-09 Relativistic Mean Field (RMF) 126 120 114 126 120 114 172 184 172 184 172 184 • 超重岛的位置还需要进一步研究； • 超重核壳修正的大小对于计算裂变位垒很重要；

  4. 宏观-微观方法 arXiv:nucl-th/1001.1493

  5. 同位旋依赖的电荷半径 假设单粒子势半径粗略地正比于电荷半径

  6. 微观壳修正

  7. 单粒子能级计算

  8. 单粒子势

  9. 对称势与对称能系数

  10. 原子核形变 （抛物线近似）

  11. 模型参数以及结果 2149 个核质量数据；1988 个中子分离能数据；

  12. 壳修正

  13. 超重岛位置 292114附近的超重核的壳能量大约在 -(5~6) MeV

  14. 原子核的势能曲面 Eexp= -940.2MeV

  15. Eexp= -708.1MeV 可能的原子核形状共存 A. Petrovici et al. / Prog. Part. Nucl. Phys. 43 (1999) 485

  16. Eexp=1468.4MeV 郑世界, 许甫荣, 高能物理与核物理，30 （2006）121 刘艳鑫, 于少英，沈彩万, 董永胜，中国科学 G 辑， 39 （2009） 732 Woods-Saxon推转壳模型 + Lipkin-Nogami(LN) 对力 由于对形变能的抛物线近似有可能使得计算出来的基态形变不是非常准确，但是这些核的形状共存现象基本上还是能够再现

  17. 重核以及超重核的势能曲面

  18. 结论 • 相对于FRDM, 模型参数减少了一半； • 2149个核质量rms偏差减小了14%, 达到0.565MeV； • 超重岛的位置：N=178, Z=114； • 超重核的壳修正能只有大约-(5~6)MeV；

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