We investigate the influence of a strong laser electromagnetic field on the $\alpha$-decay rate by using the Hennenberger frame of reference. We introduce an adimensional parameter $D=S_0/R_0$, where $R_0$ is the geometrical nuclear radius and $S_0\sim \sqrt{I}/{\omega }^2$ is a length parameter depending on the laser intensity $I$ and frequency $\omega$. We show that the barrier penetrability has a strong increase for intensities corresponding to $D>D_{\text{crit}}=1$, due to the fact that the resulting Coulomb potential becomes strongly anisotropic even for spherical nuclei. As a consequence, the contribution of the monopole term increases the barrier penetrability by 2 orders of magnitude, while the total contribution has an effect of 6 orders of magnitude at $D\sim 3D_{\text{crit}}$. In the case of deformed nuclei, the electromagnetic field increases the penetrability by an additional order of magnitude for a quadrupole deformation ${\beta }_2\sim 0.3$. The influence of the electromagnetic field can be expressed in terms of a shifted Geiger-Nuttal law by a term depending on $S_0$ and deformation.

中文翻译：

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强电磁场中核的Geiger-Nuttall定律

我们研究了强激光电磁场对 $\alpha$使用Hennenberger参考系的衰减率。我们引入一个三维参数$d={\mathrm{小号}}_0/{\mathrm{[R}}_0$， 在哪里 ${\mathrm{[R}}_0$ 是几何核半径， ${\mathrm{小号}}_0〜\sqrt{\mathrm{一世}}/{\omega }^{\mathrm{2个}}$ 是取决于激光强度的长度参数 $\mathrm{一世}$ 和频率 $\omega$。我们表明，与$d>d_{\text{暴击}}=\mathrm{1个}$，因为这样的事实，即使对于球形核，所产生的库仑电势也变得很各向异性。结果，单极项的贡献将势垒穿透性提高了2个数量级，而总贡献在6数量级时产生了6个数量级的影响。$d〜3d_{\text{暴击}}$。在原子核变形的情况下，对于四极变形，电磁场将渗透性提高了一个额外的数量级。${\beta }_{\mathrm{2个}}〜0.3$。电磁场的影响可以根据偏移的Geiger-Nuttal定律来表示，具体取决于${\mathrm{小号}}_0$ 和变形。