Fourier analysis of nonself-averaging quasiperiodic oscillations in the excitation functions of dissipative heavy-ion collisions: quantum chaos in dissipative heavy-ion collisions?

Abstract

We employ stochastic modelling of statistical reactions with memory to study quasiperiodic oscillations in the excitation functions of dissipative heavy-ion collisions. The Fourier analysis of excitation function oscillations is presented. It suggests that S-matrix spin and parity decoherence, damping of the coherent nuclear rotation and quantum chaos are sufficient conditions to explain the nonselfaveraging of quasiperiodic oscillations in the excitation functions of dissipative heavy-ion collisions.

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

“…Note that the S J ā b(E) S J ā b(E) * contributions also originate the excitation function oscillations in DHIC, provided β does not vanish [23]. However, the magnitude of these oscillations is much less than that resulting from the correlation (15).…”

“…In equation ( 10), R J π,I π µ ā b is proportional to the expression (8.3) in [3]. Substituting equation ( 10) into (2) yields [23] SJπ…”

Time analysis of the elastic neutron scattering by the 58Ni nuclei in the range 0.5–0.8 MeV

“…Further we shall use the time-dependent formalism of division 3 in the model calculations. First, let us find the energy autocorrelation function (14) of the model amplitude. Figures 2(a) and (b) show accordingly the behaviour of the real and imaginary parts of the energy autocorrelation function ϕ nn (ε, 0) of the model amplitude near zero energy shifts ε for the forward neutron scattering by the 58 Ni nuclei.…”

“…It permits us to extract the mean lifetime values from the fluctuating cross section energy autocorrelation functions [13] as τ = h/γ , where γ is the correlation width. The current theoretical progress of the question [14] was achieved in application to the analysis of excitation function oscillations in heavy-ion collisions [15,16]. The statistical mechanism of the nuclear reaction is suggested here as well, but the intermediate system does not necessarily attain complete statistical equilibration before its decay.…”