AI 中文总结
研究推导含离心势的α衰变穿透公式，开发改进BMP模型，其核势深度用四参数公式表示。该模型提升了α衰变半衰期预测精度，还用于预测特定区域未测核半衰期，为实验研究提供定量基准。
AI 中文摘要
我们推导了一个用于α衰变的封闭形式、非微扰的WKB穿透公式，该公式在Buck--Merchant--Perez（BMP）团簇模型中明确纳入了离心势。离心项通过有效扩大势垒宽度增强了阻碍作用。在此基础上，我们进一步开发了改进的BMP模型，其中核势深度用统一的四参数公式表示。对于534个基态到基态的α衰变，改进模型使半衰期对数的均方根偏差降至0.267，相比原模型有显著提升，还用于预测Z = 117 - 120区域未测核的半衰期。
英文摘要
We derive a closed-form, non-perturbative WKB penetration formula for alpha-decay that explicitly incorporates the centrifugal potential within the Buck--Merchant--Perez (BMP) cluster model. The centrifugal term is shown to enhance the hindrance by effectively enlarging the barrier width: it pushes the outer turning point outward and, via the Bohr--Sommerfeld quantization condition, shifts the inner turning point inward. Building on this analytical result, we further develop an improved BMP model in which the nuclear potential depth is expressed as a unified four-parameter formula that simultaneously encodes shell corrections, odd-even pairing effects, and orbital-angular-momentum dependence. For 534 ground-state-to-ground-state alpha decays spanning Z = 60--118, the root-mean-square deviation of log base 10 T1/2 is reduced to 0.267, representing a 57% improvement over the original constant-depth BMP model (0.615), with robust performance for both favored (0.188) and unfavored (0.398) transitions. The framework is further applied to predict the half-lives of hitherto-unmeasured nuclei in the region Z = 117--120, providing quantitative benchmarks for future experimental investigations.
Comments17 pages,5 figures
