对关联对Pb208附近α衰变的影响(Ⅱ)——Po奇A同位素的α约化宽度

本文研究了Po奇A同位素α约化宽度的相对趋势和绝对值对核模型波函数和半径R₀的关系,利用了单组态波函数、BCS波函数、不考虑阻塞效应的投影波函数(简称不阻塞PBCS)和考虑阻塞效应的投影波函数(简称阻塞PBCS)等四种波函数进行了计算,半径R₀的范围从8f—9.5f。计算结果表明,单组态和BCS的结果不好,不阻塞PBCS最好,阻塞PBCS其次。Po²¹¹的α约化宽度和邻近的偶A同位素Po²¹⁰的α约化宽度之比和R₀关系不大,在20%的范围内和实验值一致。取半径R₀=8f左右,利用不阻塞PBCS波函数,可使α约化宽度随A变化的相对趋势及绝对值大小与实验结果有良好的符合。

THE EFFECT OF PAIR CORRELATION ON α DECAY IN THE NEIGHBORHOOD OF Pb208 (Ⅱ)-----THE ALPHA REDUCED WIDTH OF Po ODD A ISOTOPES

The dependence of absolute values and the relative behavior of a reduced width of Po odd isotopes upon nuclear model wave functions and the radius R₀ are investigated, the radius R₀ ranging from 8 f to 9.5 f. The results of calculation show that the single configuration wave function and BCS wave function are unsatisfactory, the projected wave function with blocking is better, while the projected wave function without blocking is best. The ratio of the a reduced width of Po²¹¹ and the neighboring even A isotope Po²¹⁰ is insensitive to R₀, and is in agreement with the experimental value within ±20%. Compared with experimental data, absolute values of a reduced width and their variation versus mass number A can be satisfactorily described by the projected wave function without blocking, if R₀ is taken to be about 8 f.