Statistical reactions with memory and thermalized-nonequilibrated nuclear states

Abstract

Starting from the Feshbach S-matrix pole expansion we modify the standard statistical model for compound reactions by introducing correlations between fluctuating Smatrix elements with different J (total spin) and π (parity) values. The S-matrix (J, π)-correlations are obtained at the expense of introducing infinitesimally small entrance-exit channel off-diagonal (J, π)-correlations between the random variables of the statistical model. Although later on these correlations are switched off by means of a properly applied limiting procedure, the S-matrix (J, π)-correlations do not vanish and can be strong. The physical origin of the S-matrix (J, π)-correlations resembles the effect of spontaneous symmetry breaking while S-matrix (J, π)-decoherence is due to quantum chaos. Novel reaction mechanism results in the excitation of peculiar nuclear states: The intermediate system is thermalized so that the shape of the spectrum is angle-independent and Maxwellian with angle-independent slope, yet the intermediate nucleus is not equilibrated since the angular distribution is forward-peaked, i.e., memory of the direction of the initial beam is not lost. The existence of thermalized-nonequilibrated nuclear states is supported by data on the 50-100% forward peaking of neutrons in the typically evaporation (1-3.5 MeV) part of the spectrum observed in the 93 Nb(n, n ) scattering with E n = 7 MeV.

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

“…On the other hand, analysis of energy-averaged observables can identify memory effects in statistical time-delayed (with fluctuating amplitude) reactions (see, for example, [47,48] and the discussion in Sect. 9 of [50]). …”

“…In (2.7), the R Jπ,Iπ inc (µ,ā,b) is given by (8.3) from [50]. The factor (q Jπ,Iπ µν (k)) 2 k , for J / = I and independent of whether π = π or π / = π , is given [5] by…”

Anomalously Slow Cross Symmetry Phase Relaxation, Thermalized Non-Equilibrated Matter and Quantum Computing Beyond the Quantum Chaos Border

“…The key element in a description of the asymmetry of the evaporating protons is a correlation between fluctuating S-matrix elements with different total spins L 1 = L 2 (L 1 = 1 and L 2 = 2 or L 1 = 2 and L 2 = 1) and parities [11,12]:…”

“…indicates that β is smaller or comparable to Γ cn . For the orbital momentum off-diagonal correlation between S-matrix elements with the same total spins and parities we have [11,12] …”

“…This new form of matter was introduced by one of us [11,12]. Again this is revealed by a strong asymmetry around 90 • c.m.…”