arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2106.03038nucl-th
收藏

用相对论平均场理论在相干密度涨落模型中系统研究Ne,Na,Mg,Al和Si同位素的表面性质

Systematic study of surface properties for Ne, Na, Mg, Al and Si isotopes in a coherent density fluctuation model using the relativistic mean field formalism

Jeet Amrit Pattnaik, R. N. Panda, M. Bhuyan, S. K. Patra

摘要:

本文系统地研究了Ne、Na、Mg、Al和Si核从质子滴线到中子滴线的对称能、中子压和对称能曲率系数等表面性质。相干密度涨落模型(CDFM)是用来估计这些量的相对论平均场密度作为输入。对核物质结合能采用Brückner能量密度泛函,并应用局域密度近似将其转换到坐标空间。在液滴模型中,对称能又分解为体积和表面分量。在计算有限核的表面性质之前,将计算出的体性质与实验数据进行比较。在轴向变形框架中,使用具有BCS配对方法的NL3 * 参数集来在需要时照顾配对相关。变形后的密度通过双高斯拟合转换为等效球密度,并作为计算CDFM近似权函数的输入。借助于最近同位素$^{29}$ F的对称能量,$^{28}$ Ne、$^{29,30}$ Na和$^{31,35,36}$ Mg被认为在强调的{\it反转岛}{\bf [Phys.Lett. B 772,529(2017)]}。虽然我们得到了大的对称能量对应于几个中子数的同位素链的预期,一个不规则的趋势出现所有这些考虑的核。本文还讨论了这些轻质量核的对称能反常行为背后的可能原因,为今后的分析提供了方向。

英文摘要:

We have systematically studied the surface properties, such as symmetric energy, neutron pressure, and symmetry energy curvature coefficient for Ne, Na, Mg, Al, and Si nuclei from the proton to neutron drip-lines. The Coherent Density Fluctuation Model (CDFM) is used to estimate these quantities taking the relativistic mean-field densities as inputs. The Brückner energy density functional is taken for the nuclear matter binding energy and local density approximation is applied for its conversion to coordinate space. The symmetry energy again decomposed to the volume and surface components within the liquid drop model formalism to the volume and surface parts separately. Before calculating the surface properties of finite nuclei, the calculated bulk properties are compared with the experimental data, whenever available. The NL3* parameter set with the BCS pairing approach in an axially deformed frame-work is used to take care of the pairing correlation when needed. The deformed density is converted to its spherical equivalent with a two Gaussian fitting, which is used as an input for the calculation of weight function in the CDFM approximation. With the help of the symmetric energy for the recently isotopes $^{29}$F, $^{28}$Ne, $^{29,30}$Na and $^{31,35,36}$Mg are considered to be within the {\it island of inversion} emphasized {\bf [Phys. Lett. B 772, 529 (2017)]}. Although we get large symmetric energies corresponding to a few neutron numbers for this isotopic chain as expected, an irregular trend appears for all these considered nuclei. The possible reason behind this abnormal behavior of symmetry energy for these lighter mass nuclei is also included in the discussion, which gives a direction for future analysis.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑