论文标题
连贯密度波动模型的应用来研究有限核在相对论平均形式中的核物质特性
Application of the coherent density fluctuation model to study the nuclear matter properties of finite nuclei within the relativistic mean-field formalism
论文作者
论文摘要
我们通过多项式拟合获得了每个核物质（NM）的不同中子 - 核子不对称性的每个核子的结合能的密度依赖性分析表达，这表现出有效的田间理论动机动机均值均值均值（E-RMF）模型的结果。此表达式比Br $ \ ddot {u} $ ckner Energy密度功能[Phys。 Rev. {\ bf 171}，1188（1968）]由于它解决了Coster-band问题。 NM参数（例如不可压缩性，中子压力，对称能及其衍生物）是使用每个核子的获得能量表达来计算的。此外，通过E-RMF密度计算得出的重量函数在相干密度波动模型中计算出的NM参数折叠，以查找封闭/半闭合的壳的属性，甚至甚至是$^{16} $ O，$^{40} $ ca，$^{48} $ ca，$^{48} $ ca，$^{56 $ ni} $^{116} $ sn和$^{208} $ pb nuclei。中子压力$ p^{a} $，对称能量$ s^{a} $及其衍生$ l_ {sym}^a $称为斜率参数，位于狭窄域内的值$ l_ {sym}^a $在狭窄的域内存在较大的变化，而等速度不可压缩$ k^a} $ a} a} $ a} a} $ a} a {核。 $ k^{a} $和$ k_ {sym}^{a} $中的巨大变化对于轻和重核描绘了它们由于每个核的特殊密度分布而导致的结构依赖性。在本工作中计算出的表面数量的比较也与通过Br $ \ ddot {u} $ ckner能量密度功能进行的那些进行了比较。
We obtained a density-dependent analytical expression of binding energy per nucleon for different neutron-proton asymmetry of the nuclear matter (NM) with a polynomial fitting, which manifests the results of effective field theory motivated relativistic mean-field (E-RMF) model. This expression has the edge over the Br$\ddot{u}$ckner energy density functional [Phys. Rev. {\bf 171}, 1188 (1968)] since it resolves the Coster-Band problem. The NM parameters like incompressibility, neutron pressure, symmetry energy, and its derivatives are calculated using the acquired expression of energy per nucleon. Further, the weight function calculated by E-RMF densities are folded with calculated NM parameters within coherent density fluctuation model to find the properties of closed/semi-closed-shell even-even $^{16}$O, $^{40}$Ca, $^{48}$Ca, $^{56}$Ni, $^{90}$Zr, $^{116}$Sn, and $^{208}$Pb nuclei. The values obtained for the neutron pressure $P^{A}$, symmetry energy $S^{A}$ and its derivative $L_{sym}^A$ known as slope parameter, lie within a narrow domain whereas there is a large variation in isoscalar incompressibility $K^{A}$ and surface incompressibility $K_{sym}^{A}$ while moving from light to heavy nuclei. The sizable variation in $K^{A}$ and $K_{sym}^{A}$ for light and heavy nuclei depicts their structural dependence due to the peculiar density distribution of each nucleus. A comparison of surface quantities calculated in the present work has also been made with ones obtained via Br$\ddot{u}$ckner energy density functional.
