I already answered this question in detail: segregation. Now why don't you answer where the paper claims a measurement of an increase in rate at every pulse?
QuoteThe effect of exposure of the solution to different laser sources is shown in Fig. 4. One can see that the activity is decreased by a factor of 2 after 1 hour exposure to laser beam at intensity level of 1012 - 1013 W/cm2 .
Measuring gamma is an invalid indicator in the LENR environment during the laser pulse because gamma's are suppressed or eliminated. Only after a period of irradiation when the laser pulse is off and the gamma rate is valid where the alpha intensity is shown to decrease. This accelerated decrease indicates that the half-life has been rapidly advanced in time toward isotope stabilization.
A more vivid test is this one involving U238 where increase in fission decay produced are detected. Would you like to look at that?