Correlated oscillations in the excitation functions of deep-inelastic collisions: evidence for nuclear pulsars?

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

“…A recent measurement [19] of the same system is consistent with that of [7]. 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.…”

“…In conclusion we suggest that spontaneous symmetry breaking and the splitting of Hilbert space into an infinite number of orthogonal subspaces indicate a link between (i) the statistical reactions with memory approach and thermalized, non-equilibrated nuclear matter [3,27], (ii) the damping of the coherent nuclear motion [4], slow nuclear decoherencerelaxation, channel-channel correlation in DHIC [5][6][7][8][9][10][11][12][13][14][15][16][17][18][19] and nuclear pulsars [19], and (iii) structural instability of the conventional random-matrix theory, a transition to a continuous spectrum in bound quantum chaotic systems and the macroscopic limit of quantum mechanics. This link is suggested by the Bohr correspondence principle (see [21] and section 9 in [3]).…”

“…where the ensemble averaging is performed under the condition that the S-matrix elements are considered to be Gaussian stationary stochastic processes [1]. In order to estimate the energy scale of the introduced new quantity β [3,4] we have analysed the experimental data obtained for the excitation function oscillations in the 19 F + 89 Y DHIC with E lab ( 19 F) = 135-143.25 MeV incident energy [7]. A recent measurement [19] of the same system is consistent with that of [7].…”

“…In order to estimate the energy scale of the introduced new quantity β [3,4] we have analysed the experimental data obtained for the excitation function oscillations in the 19 F + 89 Y DHIC with E lab ( 19 F) = 135-143.25 MeV incident energy [7]. A recent measurement [19] of the same system is consistent with that of [7]. 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.…”

“…In this paper we develop another suggestion of the approach [3,4] by demonstrating that spontaneous symmetry breaking, off-diagonal, long-range order coherence, quantum chaos and slow nuclear relaxation give rise to the exit microchannel correlation in dissipative heavy-ion collisions (DHIC). Such a correlation is revealed in the non-self-averaging of the excitation function oscillations observed in DHIC [5][6][7][8][9][10][11][12][13][14][15][16][17][18][19]. This phenomenon clearly cannot be understood in terms of the Ericson theory [20] of compound nucleus fluctuations.…”