It is well known that the presence of high and wide Coulomb barrier is the main obstacle to LENR. The method ofthe formation of coherent correlated state (CCS) with correlation coefficient1 r → of a particle, which can be used to giant increase of the transparency of this potential barrier from very small values 70 1000 D0 r10 ...10 -- --=[approximately] up to 2 11 0 1 r D D r r -- [right arrow] = [approximately] [right arrow] was considered in [1-3]. The uniqueness of this method is connected with the fact that the transparency of the barriers ("walls" of a potential well with a particle) and the probability of LENRcan be increased using a simple procedure of CCS formation: periodic modulation of the well width for the same barrier height 0 Lt L g t ( ) (1 cos ), =+ [omega]0 [omega] [omega] ( ) (1 cos ), t gt =+[omega]g | | x of "classical" oscillation and the momentum | | p of a particle) remain unchanged and small, while the correlation coefficient rapidly increases from r = 0 to r[right arrow]1; this corresponds to completely CCS (Fig.2,a,b,c). It was shown that for optimal condition g = -- ft ft S t t ()() 2 ( ) [delta] force f t( ) substantially affects the rate ofincrease of normalized amplitude of oscillations, as well as the absolute value of correlation coefficient with time, but does not affect the final value1 r [right arrow] and giant increase of the transparency D1 r[right arrow] [right arrow]1! These effects can be used for LENR optimization in real physical systems at action of damping and fluctuations
