恒星环境下β衰变中相空间函数的修正

CORRECTION TO β DECAY PHASE SPACE FUNCTION IN STELLAR ENVIRONMENT

对恒星环境下β衰变的相空间积分进行了讨论.计算中考虑了Fermi函数、形状修正因子、子核反冲效应这几个方面对相空间积分的影响,以10C(βt)10N反应为例给出了不同温度下电子的Fermi-Dirac分布对相空间积分的影响.结果表明:低温下电子的Fermi-Dirac分布对相空间积分的影响很小,可以忽略;高温下电子的Fermi-Dirac分布对相空间积分的影响较明显.因此在恒星环境下讨论温度的影响是很必要的.所推导的方法不仅适用于精确求解β衰变的相空间积分,还可以推广到其他弱相互作用的相空间积分的计算.

The β decay phase space integral in stellar environment is discussed. The Fermi function, shape correction factor, the recoil effect of daughter nucleus are included in the calculation. The value of phase space integral under different temperature and Fermi-Dirac distribution function is given for reaction ^10C（β^t）^10N. The results show that the influence of Fermi-Dirac distribution function on phase space integral is little in the low temperature, but is obvious in the high temperature. Therefore, it is necessary to consider the temperature effect in the stellar environment. The adopted derivation is also fit for other calculation of weak interaction.