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本文利用BCS波函数及投影波函数计算了84Po的偶-偶同位素及85At的奇-偶同位素的α约化宽度γα2的绝对值。文中仔细研究γα2的绝对值及相对趋势和参数b,R0,G的关系;b为谐振子势阱参数,R0为道半径,G为对关联相互作用常数。计算结果的分析表明:(1)对关联有利于α的形成,它可以使α约化宽度的绝对值增加一个数量级,且可以使相对趋势与实验符合得更好。(2)BCS波函数的粒子数不守恒的缺点,对于满壳外粒子数不多的核的α衰变来说相当严重。用了粒子数守恒的投影波函数,绝对值可以增加1—2倍,且可以使相对趋势变好。(3)考虑了阻塞效应后,宽度约减小10%,使奇A核的阻碍因子的理论值和实验值一致。(4)绝对值对参数的选择很敏感,而相对趋势对参数则不太敏感,要使理论的绝对值接近实验值,必须取R0在8f以内。By means of the BCS wave functions and projected wave functions the absolute values of a reduced width of even-even isotopes of 84Po and odd-even isotopes of 85At are calculated. The change of absolute values and the behaviour of the relative values due to the change of the parameters b, R0, and G have been investigated, where b is the parameter of harmonic oscillator well, R0 the channel radius, and G the parameter of pair correlation. The analysis of the results of calculation shows that:(1) Pair correlation favours the formation of a particle; it may increase the reduced width by an order of magnitude, and it may induce the relative behaviour to be more compatible with experiment.(2) The nonconservation of particle number of BCS wave function is a serious defect for those nuclei for which the number of particles outside the closed shell is few. The projected wave function, for which the number of particles is conserved, may increase the absolute values by 1-2 times, and may improve the relative behaviour.(3) On taking account of the blocking effect, the reduced width may decrease by 10%, this has the result that the hindered factors of odd A nuclei may agree with the experimental values.(4) The absolute values are very sensitive to the selection of parameters, but the relative behaviour is not very sensitive. In order that the absolute values may approach the experimental values, R0 should be within 8f.
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