Effect of the Width of Gaussian Wave Packets on the Stability of the Nuclei

S. Goyal
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Abstract

The role of the range of interaction on the stability of the nuclei propagating with and without momentum dependent interactions is analyzed within the framework of Quantum Molecular Dynamics (QMD) model. A detailed study is carried out by taking different equations of state (i.e., static soft and hard and the momentum dependent soft and hard) for the selected nuclei from 12C to 197Au. Comparison is done by using the standard and the double width of the Gaussian wave packets. We find that the effect of the double width of the Gaussian wave packets on the stability of the initial stage nuclei cannot be neglected. The nuclei having double width do not emit free nucleons for a long period of time. Also, the ground state properties of all the nuclei are described well. In the low mass region, the obtained nuclei are less bound but stable. Heavy mass nuclei have proper binding energy and are stable.
高斯波包宽度对原子核稳定性的影响
在量子分子动力学(QMD)模型的框架内,分析了相互作用范围对有动量依赖相互作用和没有动量依赖相互作用的原子核的稳定性的影响。采用不同的状态方程(即静态软、硬、动量依赖软、硬)对12C ~ 197Au范围内选定的核进行了详细的研究。采用高斯波包的标准宽度和双宽度进行了比较。我们发现高斯波包的双宽度对初始核稳定性的影响是不可忽视的。具有双宽度的原子核在很长一段时间内不释放自由核子。此外,所有原子核的基态性质都得到了很好的描述。在低质量区,得到的原子核束缚较少,但稳定。大质量原子核具有适当的结合能,是稳定的。
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