论文标题

M1过渡的QRPA计算,使用非涉及有限幅度法和应用于中子辐射捕获横截面的QRPA计算

QRPA calculations for M1 transitions with the noniterative finite amplitude method and the application to neutron radiative capture cross sections

论文作者

Sasaki, Hirokazu, Kawano, Toshihiko, Stetcu, Ionel

论文摘要

我们根据有限振幅方法(FAM)来得出准粒子随机相近似(QRPA)的方程,并使用Hartree-Fock+BCS(HF+BCS)单粒子状态来计算磁偶极子(M1)过渡的磁性二极管(M1)。我们的QRPA计算显示了5至10 MEV激发能中的大型自旋翼过渡和低能轨道转变,这将与核实验中观察到的M1剪刀模式相对应。然后,我们根据QRPA给出的光吸附横截面来基于统计的Hauser-Feshbach理论来计算中子捕获反应。我们发现,由于计算出的捕获横截面仍然低估了实验数据,但由于低能M1转变的贡献,捕获横截面的增强。在我们的QRPA计算中忽略的低能E1转换的不确定性可以改善计算的捕获横截面中的此问题。

We derive the equations of quasiparticle random-phase approximation (QRPA) based on the finite amplitude method (FAM) with the Hartree-Fock+BCS (HF+BCS) single-particle states, and calculate the magnetic dipole (M1) transition for deformed gadolinium isotopes. Our QRPA calculation shows both large spin-flip transitions in the 5 to 10 MeV excitation energy and the low energy orbital transition that would correspond to the M1 scissors mode observed in nuclear experiments. Then, we calculate neutron capture reactions based on the statistical Hauser-Feshbach theory with the photoabsorption cross sections given by QRPA. We find that the capture cross section is enhanced due to the contribution from the low energy M1 transition although the calculated capture cross section still underestimates the experimental data. This issue in the calculated capture cross section could be improved by uncertainties of low energy E1 transition neglected in our QRPA calculation.

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