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In the present paper a systematic study is carried out to validate thesimilarity or degree of relationship between daily terrestrial cosmic raysintensity and three characteristics of about evolution of solar corona, like anumber of sunspots and flare index observed in the solar corona and to Ap indexfor regular magnetic field variation caused by regular solar radiation changes.The study is made in a range including three solar cycles starting with thecycle 21 (year 1976) and ending on cycle 23 (year 2008). The technique used inthis case will be the use of the cross-correlation technique to establishpatterns and dependence on the behavior of both variables. This study focusedon the time lag calculation for these variables and found a maximum of negativecorrelation over $CC_1\approx 0.85$, $CC_2\approx 0.75$ and $CC_3\approx 0.63$with an estimation of 181, 156 and 2 days of deviation between maximum/minimumof peaks for the intensity of cosmic rays related with sunspot number, flareindex and Ap index regression, respectively.

Cross correlation and time-lag between cosmic ray intensity and solar activity during solar cycles 21, 22 and 23