论文标题
相对论平均形式中的scandium和钛核的同位素链的同位素依赖性特性
Isospin dependent properties of the isotopic chain of Scandium and Titanium nuclei within the relativistic mean-field formalism
论文作者
论文摘要
密度依赖性的核对称能与有限和无限核系统的同胞不对称性直接相关。确定对称能量及其相关可观察物的系数至关重要，因为它在核物理学的不同领域非常重要，例如分析基态外来核和中子星研究的结构。基态体积特性，例如核结合能，四极变形，两种中子分离能，两种中子分离能的差异变化以及scandium（Z = 21）的根平方荷半径（Z = 21）和钛（Z = 22）核。连贯的密度波动模型用于估计有限核的同胞依赖性特性，例如对称能及其表面和体积成分，它来自其在无限核物质系统中的相应值。最后，我们将中子皮的厚度与对称能量的系数及其相关的可观察到对应于这些核的同位素链相关。目前的分析中采用了具有非线性NL3和相对论的hartree-bogoliubov的相对论平均形式主义和相对论的hartree-bogoliubov。分别观察到从球形到划线的形状过渡，分别为n $ \ geq $ 44和n $ \ geq $ 40的SC-和TI-同位链链。对于使用核大块和同胞素数量的同位素链，已经发现了壳和/或子壳封闭的明显签名和/或子壳闭合的魔法中子数。除此之外，通过遵循表面/依赖性的可观察力，即在d = 34和50处观察到壳/子壳闭合的一些特征，即在n = 34和50处，即对称能量及其对奇数-A sc- sc- sc- sc-和偶数和均匀的ti-nuclei的同位素链的对称能量及其成分。
The density-dependent nuclear symmetry energy is directly related to the isospin asymmetry for finite and infinite nuclear systems. It is critical to determine the coefficients of symmetry energy and its related observables as it holds great importance in different areas of nuclear physics, such as analyzing the structure of ground state exotic nuclei and neutron star study. The ground state bulk properties such as nuclear binding energy, quadrupole deformation, two-neutron separation energy, the differential variation of two-neutron separation energy, and root-mean-square charge radius for Scandium (Z = 21), and Titanium (Z = 22) nuclei are calculated. The coherent density fluctuation model is used to estimate the isospin-dependent properties of finite nuclei such as symmetry energy and its surface and volume components from its corresponding value in infinite nuclear matter system. Finally, we correlate the neutron-skin thickness with the coefficient of symmetry energy and its related observables corresponding to these isotopic chains of nuclei. The relativistic mean-field formalism with non-linear NL3 and Relativistic-Hartree-Bogoliubov with density-dependent DD-ME2 interaction parameters are employed in the present analysis. A shape transition is observed from spherical to prolate near N $\geq$ 44 and N $\geq$ 40 for Sc- and Ti- isotopic chain, respectively. Notable signatures of shell and/or sub-shell closures have been found for the magic neutron numbers at N = 20 and 28 for both the isotopic chain using the nuclear bulk and isospin quantities. In addition to these, a few signatures of shell/sub-shell closure are observed near the drip-line region, at N = 34 and 50 by following the surface/isospin dependent observables, namely symmetry energy and its component for both the isotopic chain of odd-A Sc- and even-even Ti- nuclei.
