On new experimental data manifesting the time resonances (or explosions)

Olkhovsky, V. S.; Dolinska, M.; Omelchenko, S. A.

doi:10.2478/s11534-011-0009-4

Cited by 3 publications

(4 citation statements)

References 5 publications

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“…We proposed a new version of the time-evolution approach, starting not only from the principal ideas [41,42] but also from the known correspondence between the exponential decreasing of behavior of any quantity in any (time or energy) representation and the Lorentzian behavior of its Fourier transformation in the canonically conjugate (i.e. energy or time) representation and then utilizing the results, obtained in [24,28] for the properties of compound nuclei in the range of the non-resolved strongly overlapped energy resonances.…”

Section: The Manifestation Of the Time Resonances (Explosions) Of Commentioning

confidence: 99%

“…Our theoretical approach is based on [28,42,43]. So far let us choose the reaction amplitude f αβ (E) and T-matrix (E) in such forms…”

Section: The Manifestation Of the Time Resonances (Explosions) Of Commentioning

confidence: 99%

“…They are represented in Figure 9 -Figure 10. Ne+ U → p+ X, of 400 MeV/nucleon, experimental data are taken from [44] The values of τ 1 , τ 2 and t 2 -t 1 in sec, which were found in [42] from the agreement of theoretical curves with the experimental data, are represented in Table 2 and Table 3 for Figure 9 and Figure 10, respectively The explanation of the time-resonances structure in the cross sections of high-energy nuclear reactions in the region of the densely situated strongly overlapped energy resonances. How is it possible to explain the manipulations with relatively smooth energy behavior of the expressions (91) and (93) for the cross sections or the expressions (81) and (92) for T αβ or f αβ , which correspond to time resonances and simultaneously to the experimental data on cross sections, although really the amplitudes have to fluctuate strongly with energy in the region of strongly overlapped energy resonances for extremely high energies?…”

mentioning

confidence: 99%

“…Later there were performed new calculations in [42] and their comparison with the experimental data from [43,44]. They are represented in Figure 9 -Figure 10.…”

mentioning

confidence: 99%

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On Mathematical Foundations of Quantum Collisions and Nuclear Reactions and Outcome of Certain Physical Phenomena from Them

Olkhovsky¹

2014

IJP

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I. Analytical structure of the non-relativistic unitary and non-unitary S-matrix is reviewed for the cases of any interactions with any motion equations inside a sphere of radius a, enclosed by centrifugal and rapidly decreasing (exponentially or by the Yukawian law or by the more rapidly decreasing) potentials. Some kinds of the symmetry conditions are imposed. The Schroedinger equation for the particle motion in the external region where r > a and the completeness of the correspondent wave functions are assumed. The connection of the obtained results with the causality is examined. Partially some analytical properties for the multi-channel S-matrix are reviewed and the sum rules for mean compound-nucleus time delays and the density of compound-nucleus levels. Sometimes (as physical manifestations of the profound general methodic and in very good consistent accordance with the experiment) observable physical effects, such as parity violation enhancement and time resonances or explosions, are appeared. Finally a scientific program of future search is presented as a clear continuation and extension of the obtained results. II. It is already known the appearance of time advance (due to distortion by the non-resonant background) instead of the expected time delay in the region of a compound-nucleus resonance in the center-of-mass (C-) system. Here at the same conditions we study cross sections and durations of the neutron-nucleus scattering in the laboratory (L-) system. Here it is shown that such time advance is a virtual paradox but in the L-system the timeadvance phenomenon does not occur and only the trivial time delay is observed. At the same time the transformations from C-system into the L-system appeared to be different from the standard kinematical transformations because in the C-system the motion of a compound nucleus is absent but it is present in the Lsystem. We analyze the initial wave-packet motion (after the collision origin) and the cross section in the laboratory (L-) system. Also here (as physical revelations of profound general methodic and in very good consistent accordance with the experiment) several results of the calculated cross sections for the neutron-nucleus in comparison with the experimental data in the L-system at the range of one or two overlapped compound resonances are presented. It is shown in the space-time approach that the standard kinematical transformations of cross sections from the C-system to the L-system are not valid because it is necessary to consider the center-of-mass motion in the L-system. Finally on a correct self-consistent base of the space-time description of the nuclear processes in the laboratory system with 3 particles in the final channel, it is shown the validity of the former approach, obtained for the space-time description of the nuclear processes with 2-particle channels earlier. Keywords: (I) S-matrix, condition of completeness of external wave functions, external centrifugal and rapidly decreasing potentials, causality, time resonances or ex...

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Section: The Manifestation Of the Time Resonances (Explosions) Of Commentioning

confidence: 99%

“…Our theoretical approach is based on [28,42,43]. So far let us choose the reaction amplitude f αβ (E) and T-matrix (E) in such forms…”

Section: The Manifestation Of the Time Resonances (Explosions) Of Commentioning

confidence: 99%

mentioning

confidence: 99%

“…Later there were performed new calculations in [42] and their comparison with the experimental data from [43,44]. They are represented in Figure 9 -Figure 10.…”

mentioning

confidence: 99%

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On Mathematical Foundations of Quantum Collisions and Nuclear Reactions and Outcome of Certain Physical Phenomena from Them

Olkhovsky¹

2014

IJP

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Application of time resonances' method for analysis of inclusive spectra in high-energy nuclear reactions

Omelchenko¹,

Olkhovsky²

2017

Nucl. Phys. At. Energy

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It is shown, that the exponential decrease of the energy spectra of the reaction final fragments with increasing energy, which does not depend from the fragment's type, targets, projectiles and projectile energies, and which sometimes accompanied slight oscillations, can be explained by the unique phenomenon of time resonances. These time resonances correspond to decay of intermediate excited nuclear composite system. For the first time, expressions for the decay rate and the probability of survival of such system as a function on time are obtained. Inclusive spectra for protons p and helium isotopes 3 He in high-energy nuclear reactions 20 Ne + 238 U → p + X (2.1 GeV/nucleon) and 20 Ne + 238 U → 3 He + X' (2.1 GeV/nucleon) are calculated.PACS numbers: 25.00. 00, 25.90.+k, 03.65 Keywords: exponential decreasing of the inclusive spectra, time resonances, non-exponential or resonant decay of stable nuclear clots * Electronic address:

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A Non-Simple and Not Completed History of Quantum Mechanics and Really Long History of Resolving the Problem of Time as a Quantum Observable

Olkhovsky¹

2014

OALib

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It shortly described a far from being completed history of quantum mechanics-quantum theory of measurements. Furthermore, there was a relatively recently finished chapter of quantum mechanics which for a long time had not been resolved. This chapter is dedicated to time as a quantum observable, canonically conjugated to energy. And the mathematical reasons for its principal resolving are explained.

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On new experimental data manifesting the time resonances (or explosions)

Abstract: Abstract:Some new applications of the time resonances (explosions) to new experimental data on high-energy nuclear processes are presented. These new experimental data are fitted rather well by the approach of the time resonances for the compound nuclei and clots.

Cited by 3 publications

References 5 publications

On Mathematical Foundations of Quantum Collisions and Nuclear Reactions and Outcome of Certain Physical Phenomena from Them

On Mathematical Foundations of Quantum Collisions and Nuclear Reactions and Outcome of Certain Physical Phenomena from Them

Application of time resonances' method for analysis of inclusive spectra in high-energy nuclear reactions

A Non-Simple and Not Completed History of Quantum Mechanics and Really Long History of Resolving the Problem of Time as a Quantum Observable

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