an energy in the MeV range. This energy is usually released in the formof photons (gamma-rays). Prompt gamma-rays are in general higher inenergy than delayed gamma-rays (resulting from the long-term decay ofthe product nucleus), since for most nuclei the binding energy releasedby capturing a neutron is about 8 MeV or so. Not all the binding energyis liberated as prompt gamma-rays, as part of the energy usuallyremains within the formed compound nucleus, bringing it to an excitedstate. The compound nucleus can promptly emit photons at various energies,as it is “de-excited”. Therefore, a complex spectrum of promptgamma-rays can be emitted, with a maximum photon energy equal tothat equivalent to the mass defect of the reaction. In the above discussedexample of the reaction, more than 50 prompt gamma-rayshave been reported [247]. However, the primary (maximum) promptgamma-ray is usually monitored.Since the mass defect in the formation of a compound nucleus is alwayspositive, prompt gamma-rays can be produced from almost any element.However, the probability of formation depends on the thermal capturecross-section. Table 8.3 provides a list of the prompt gamma-rays producedfrom some common elements and the neutron cross-section neededfor their formation. Reference [250] lists 1915 prompt gamma-rays emittedin the thermal-neutron activation of 84 elements. Obviously, elementswith very low cross-sections are difficult to activate, as they willrequire a strong neutron source to produce measurable prompt activationphotons.Measurement Model. Dropping the time-dependent terms inEq. (8.4), the measurement model for the intensity of prompt gammaradiation,emitted at energy is expressed as:where the terms are as defined in Eq. (8.4) and the yield factor, Y,defined in Table 8.5, is introduced, since as mentioned earlier, not allphotons are necessarily emitted at energy As Table 8.3 shows, thephoton energy is in the MeV range, thus, the attenuation-coefficient ofphotons, is likely to be low for most materials. Moreover, since mostactivation will tend to occur near the surface of the object, due to the lowvalue of the value of y tends also to be small. These two factors leadto a value of close to unity. Nevertheless, the attenuation factorof neutrons, can still affect the measured activity. Thus,the measured gamma activity is not a direct indication of the atomicdensity,N, of the activated nuclei. Therefore, some a priori knowledge,
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