This paper presents calculations of the magnetic moments, the quadrupole moments, and the form factors of a number of titanium isotopes as determined using the shell model space. The calculations of the shell model have adopted the model space (MS) with core-polarization effects, which were included for two types of effective g factors and different effective charges. The wave functions are generated using the harmonic oscillator potential (HO) with size parameters b , which for these isotopes are calculated. The one body density matrices (OBDM) for these isotopes were obtained using the NuShellX@MSU code, which used an adopted fpd6 interaction and fp model space. Reasonable results are obtained that show the collapse of the magicity property at neutron number N = 28.

中文翻译：

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计算某些Ti同位素的磁偶极矩，电四极矩和形状因子

本文介绍了利用壳模型空间确定的磁矩，四极矩和许多钛同位素的形状因子的计算。壳模型的计算采用具有核极化效应的模型空间（MS），其中包括两种有效g因子类型和不同有效电荷。使用具有大小参数b的谐波振荡器电势（HO）生成波函数，针对这些同位素计算出这些参数。使用NuShellX @ MSU代码获得了这些同位素的一个体密度矩阵（OBDM），该代码使用了所采用的fpd6相互作用和fp模型空间。获得的合理结果表明，在中子数N = 28时，魔力特性崩溃了。