A quantum chaotic clock and damping of the coherent nuclear rotation in the 28 Si +64 Ni dissipative collision

Channel - channel correlation in dissipative heavy-ion collisions and quantum chaos in the infinite-time limit

“…We obtained [19,24] β = 3.5 keV. This is consistent with the recent analysis [25] of oscillating excitation functions in the 28 Si + 64 Ni strongly dissipative reaction [5,6], which gave β = 3.7 keV. It should be mentioned that β is the S-matrix spin and parity relaxation width.…”

“…This provides conclusive evidence that the excitation functions for the 19 F + 89 Y dissipative reaction products close in mass to the projectile are not smooth and structureless, but do indeed show 5-15% oscillatory structure with a characteristic smallest coherence length of about 100 keV. We obtained [19,24] β = 3.5 keV. This is consistent with the recent analysis [25] of oscillating excitation functions in the 28 Si + 64 Ni strongly dissipative reaction [5,6], which gave β = 3.7 keV.…”

“…Let us estimate the value of g needed to obtain a splitting-spreading of each unperturbed E J π µ over the characteristic energy interval D = 0 (average level spacing between the unperturbed levels with fixed (J, π)-values). We obtain |g| [D(hω + β 2 /hω)/ ln( J )] 1/2 /N 1/2 → 0 (25) in the limit N → ∞. We observe that the splitting of E J π µ into an infinite number of k-levels survives the limit g → 0 and leads to an infinite decrease of the average level spacing D/N → 0.…”

“…carry an additional k-index indicating the splitting of each unperturbed energy E J π µ into an infinite (in the limit N → ∞) number of levels. In equation (24) the summation over J is performed from J = 0 to J = J .…”