Gauge-Invariant Formulation of the Adiabatic Self-Consistent Collective Coordinate Method
Gauge-Invariant Formulation of the Adiabatic Self-Consistent Collective Coordinate Method
复制标题
DOI：
10.1143/ptp.117.451
复制
发表时间：
2007-01
影响因子：
--
通讯作者：
N. Hinohara;T. Nakatsukasa;M. Matsuo;K. Matsuyanagi
中科院分区：
文献类型：
--
作者：
N. Hinohara;T. Nakatsukasa;M. Matsuo;K. Matsuyanagi
绝热自洽集体坐标（ASCC）方法是研究超流核大振幅集体运动的一种实用微观理论。我们证明了它的基本方程在粒子数空间中涉及规范角的变换下是不变的。凭借这种不变性，一个干净的分离的大振幅集体运动和配对的旋转运动，可以使我们能够恢复的粒子数对称性破坏的Hartree-Fock-Bogoliubov（HFB）近似。我们制定ASCC方法明确的规范不变的形式。在求解ASCC方程时，需要固定规范。将这个新公式应用于多O（4）模型，我们比较了不同的规范固定过程，并证明了使用不同规范的计算确实对规范不变量（如集体路径和量子谱）产生了相同的结果。我们提出了一个规范固定处方，似乎最方便的现实计算。
The adiabatic self-consistent collective coordinate (ASCC) method is a practical microscopic theory of large-amplitude collective motion in nuclei with superfluidity. We show that its basic equations are invariant under transformations involving the gauge angle in particlenumber space. By virtue of this invariance, a clean separation of the large-amplitude collective motion and the pairing rotational motion can be made, and this allows us to restore the particle-number symmetry broken by the Hartree-Fock-Bogoliubov (HFB) approximation. We formulate the ASCC method explicitly in a gauge-invariant form. In solving the ASCC equations, it is necessary to fix the gauge. Applying this new formulation to the multi-O(4) model, we compare different gauge-fixing procedures and demonstrate that calculations using different gauges indeed yield the same results for gauge-invariant quantities, such as the collective path and quantum spectra. We propose a gauge-fixing prescription that seems most convenient in realistic calculations.