论文标题
Hartree-fock-Bogoliubov理论用于奇数核，具有时间 - odd的约束，并应用于变形的晕核核
Hartree-Fock-Bogoliubov theory for odd-mass nuclei with a time-odd constraint and application to deformed halo nuclei
论文作者
论文摘要
我们表明，只要在没有无效特征值的HFB汉密尔顿人中保守时，Hartree-fock-bogoliubov（HFB）方程的最低能量解决方案具有甚至粒度数的平等性。基于这一发现，我们为解决HFB方程的方法提供了一个严格的基础，以通过对汉密尔顿的时间反转抗对称约束操作员采用时间反转抗对称约束操作员来描述奇数质量核的基态，在那里人们将基础状态直接作为曲柄-HFB-HFB-HFB-HFB型方程的自对待解决方案。对于富含中子的MG同位素，对操作员进行了合理的选择，进行了数值分析，并且证明，当$^{37} $ mg的物质半径的异常增加在核能密度拟合方法的框架中占据了低角度的圆锥形时，就可以很好地描述$^{37} $ mg。
We show that the lowest-energy solution of the Hartree-Fock-Bogoliubov (HFB) equation has the even particle-number parity as long as the time-reversal symmetry is conserved in the HFB Hamiltonian without null eigenvalues. Based on this finding, we give a rigorous foundation of a method for solving the HFB equation to describe the ground state of odd-mass nuclei by employing a time-reversal anti-symmetric constraint operator to the Hamiltonian, where one obtains directly the ground state as a self-consistent solution of the cranked-HFB-type equation. Numerical analysis is done for the neutron-rich Mg isotopes with a reasonable choice for the operator, and it is demonstrated that the anomalous increase in the matter radius of $^{37}$Mg is well described when the last neutron occupies a low angular-momentum orbital in the framework of the nuclear energy-density-functional method, revealing the deformed halo structure.
