Abstract
Concerning thermal neutron trap reactors, a comparative study of trapping media is made by an analytical approach especially to derive criteria of highly trapping media. Spherical and cylindrical shapes of media are analyzed in the two-group diffusion theory. A criterion is that the thermal neutron diffusion coefficient of a trapping medium must be much smaller than each of the slowing-down length and the thermal neutron diffusion length, provided that both lengths should be modified in case of a finite cylinder. A small size of trap reactors can be realized by a medium whose characteristic lengths are both short.Calculated values of the trapping effectiveness and the optimum radius of each ordinary moderator are given. Although the comparison with experiments is not yet possible for lack of experimental information under the conditions assumed in this theoretical study, it is suggested that the trapped thermal neutron flux cannot be definitely larger than the flux at the periphery of a trapping mediumroy a factor of ten.
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