讨论了在一个增殖系统引发一个持续裂变链所需要的平均中子数.在点堆模型基础上,考虑了在t0时刻系统引入一个源中子,在t时刻产生n个中子的概率ν(n,t0,t),推导了概率生成函数G(z;t0,t)所满足的偏微分方程,并得到了近似解.用近似解计算了Godiva-Ⅱ脉冲堆的有限裂变链长数学期望值,有限裂变链期望值反比于脉冲堆的反应性.
The average neutron population necessary for sponsoring a persistent fission chain in a multiplying system, is discussed. In the point reactor model, the probability functionν(n,t0,t) of a source neutron at time t0 leading to n neutrons at time t is dealt with. The non-linear partial differential equation for the probability generating function G(z;t0,t) is derived. By solving the equation, we have obtained an approximate analytic solution for a slightly prompt supercritical system. For the pulse reactor Godiva-Ⅱ, the mean value of finite fission chain lengths is estimated in this work and shows that the estimated value is reasonable for the experimental analysis.
参考文献
| [1] | Wimett T F,White R H,Stratton W R,et al.Nuc Sci Eng,1960,8:691. |
| [2] | Spriggs G D,Busch Robert D,Sakurai Takeshi.The Equivalent Fundamental-Mode Source.Los Alamos Report LA-13253,1997. |
| [3] | Hansen G E.Nucl Sci Eng,1960,8:709. |
| [4] | Spriggs G D,Busch Robert D,Campbell J M.Determination of Godivas Effective Delayed Neutron Fraction Using Newly Calculated Delayed Neutron Spectra.Annual Meeting of the American Nuclear Sociaty Boston,MA,1999. |
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