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arXiv 1607.04810nucl-th
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用群论方法研究~ 3 H和~ 4 He的基态和激发态

Investigation of the Ground and Excited States of the 3H and 4He Nuclei by Using the Methods of Group Theory

S. B. Doma, H. S. El-Gendy

摘要:

本文应用群论方法,采用平移不变壳模型,在0 ≤ N ≤ 20范围内,基函数为偶数个激发量子,研究了氚核和氦核的基态和激发态.相应地,计算了triton的基态和第一激发态波函数和能量,S、P和D态几率,均方根半径和磁偶极矩。此外,还研究了氦原子基态和偶宇称激发态的能量和波函数以及氦原子的均方根半径。计算中使用了两个剩余的两体相互作用和两个三核子相互作用。此外,通过对N ≤ 20的计算结果逐步外推到N = 30,检验了计算的收敛性。

英文摘要:

The method of group theory is applied to investigate the ground and the excited states of the triton and helium nuclei by using the translation invariant shell model with basis functions corresponding to even number of quanta of excitations in the range 0 less than or equal to N less than or equal to 20. Accordingly, the ground and first excited state wave functions and energies, the S, P and D state probabilities, the root mean square radius and the magnetic dipole moment of triton have been investigated. Also, the energies and wave functions of the ground and the even parity excited states and the root mean square radius of helium have been investigated. Two residual two body interactions together with two three nucleon interactions have been used in the calculations. Moreover, the convergence of calculations has been examined by extrapolating the results with N less than or equals to 20 step by step to reach N equals to 30 for the two nuclei.

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。

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