论文标题
部分可观测时空混沌系统的无模型预测
Symplectic Effective Field Theory for Nuclear Structure Studies
论文作者
论文摘要
一种揭示原子核中观察到的对称对称性的出现的符号有效场理论是先进的。具体而言,从谐波振荡器拉格朗日的简单扩展开始,针对符号基础状态应用的有效场理论显示出具有一个拟合参数的哈密顿系统。可以始终如一地确定系统的尺度,因为假定振荡器量子的平均数量确定的核的平均体积与其体积的平均体积之比,这是由于平面波解满足每个顺序的运动方程而无需扰动校正的事实。作为该理论的应用,提出了20ne,22ne和22mg的结果,以产生能量光谱,B(E2)值和物质半径,与实验测量的结果非常吻合。
A Symplectic Effective Field Theory that unveils the observed emergence of symplectic symmetry in atomic nuclei is advanced. Specifically, starting from a simple extension of the harmonic-oscillator Lagrangian, an effective field theory applied against symplectic basis states is shown to yield a Hamiltonian system with one fitted parameter. The scale of the system can be determined self consistently as the ratio of the average volume of a nucleus assumed to be spherical to its volume as determined by the average number of oscillator quanta, which is stretched by the fact that the plane-wave solution satisfies the equations of motion at every order without the need for perturbative corrections. As an application of the theory, results for 20Ne, 22Ne and 22Mg are presented that yield energy spectra, B(E2) values, and matter radii in good agreement with experimentally measured results.