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A new convention for the epithermal neutron spectrum component is formulated in this work, aimed at improving the accuracy of resonance integrals determination. The (1 +  β )/( β E + E 1+ α ) form here proposed, is an approximating function of the epithermal neutron spectrum based upon calculations performed by the state-of-art Monte Carlo code MVP-3. Bias effects on determination of resonance integrals, due to the application of the well-known and used so far approximating functions, such as 1/E, 1/E 1+ α as well as the new form (1 +  β )/( β E + E 1+ α ) are compared, where E is the neutron energy,  α  a shape factor, and  β  a new shape factor introduced in this work. The other bias effect is also investigated, which is caused by neglecting the position dependence of a neutron spectrum inside an irradiation capsule. To get a demonstration of the bias effects due to these assumptions, upon the determination of a neutron spectrum from a quantitative point of view in a practical case, the thermal neutron-capture cross section and resonance integral of  135 Cs measured at a research reactor JRR-3 are re-evaluated. A superior property of the proposed new mathematical expression is discussed. The experimental method is proposed to determine the new shape factor  β  by a combinational use of triple flux monitors ( 197 Au,  59 Co, and  94 Zr), and its analytical methodology is formulated.

A new convention for the epithermal neutron spectrum for improving accuracy of resonance integrals