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After reviewing the description of an unstable state in the framework of Lee Hamiltonians (valid both for Quantum Mechanics (QM) and Quantum Field Theory (QFT)), we consider some theoretical aspects of non-exponential decays: the case of…

Quantum Physics · Physics 2017-11-22 Francesco Giacosa

We investigate the time evolution of the decay (or ionization) probability of a D-dimensional model atom (D=1,2,3) in the presence of a uniform (i.e., static and homogeneous) background field. The model atom consists in a non-relativistic…

Quantum Physics · Physics 2007-05-23 R. M. Cavalcanti , P. Giacconi , R. Soldati

Data from the Sudbury Neutrino Observatory have been used to constrain the lifetime for nucleon decay to ``invisible'' modes, such as n -> 3 nu. The analysis was based on a search for gamma-rays from the de-excitation of the residual…

High Energy Physics - Experiment · Physics 2012-08-27 SNO Collaboration

The phenomenon of time resonances (or explosions) can explain the exponential reduction of the energy, which is accompanied for the certain degree by slight fluctuations under some conditions in the range of the energy strongly overlapped…

Nuclear Theory · Physics 2009-02-17 V. S. Olkhovsky , M. E. Dolinska , S. A. Omelchenko

The analysis of correlations between fluctuations of alpha- and beta-decay rates for different radio-active elements is carried out. These fluctuations exceed significantly errors of measurements in many cases. They have the periodical…

General Physics · Physics 2010-02-01 Yu. A. Baurov , I. F. Malov

Motivated by a pilot experiment conducted by F.Vannucci et al. during a solar eclipse, we work out the geometry governing the radiative decays of solar neutrinos. Surprisingly, although a smaller proportion of the photons can be detected,…

High Energy Physics - Phenomenology · Physics 2009-10-31 J. -M. Frère , D. Monderen

Electronically excited atoms or molecules may deexcite by emission of a secondary electron through an Auger-Meitner decay. This deexcitation process is typically considered to be exponential in time. This is strictly speaking, however, only…

By using an exact analytical non-Hermitian approach in terms of resonance (quasinormal) states we express the decaying wave function as the sum of exponential and nonexponential decaying solutions to the time-dependent Schr\"odinger…

Quantum Physics · Physics 2019-10-02 Gastón García-Calderón , Roberto Romo

The synthesis of isotopes is possible under conditions of power electric discharge in the atmosphere. Knowledge of the radioactive 14C yield under flash conditions (as additional channel of 14C production relative to the main - cosmogenic…

Nuclear Theory · Physics 2021-07-14 V. I. Lyashuk

The decay of an excited is shown to slow down in the presence of a photo detector. This is similar to the behavior of an atom in a mistuned cavity, and under the conditions of the quantum Zeno effect. No external perturbing field is applied…

Quantum Physics · Physics 2007-05-23 D. R. Fredkin , Amiram Ron

The experimental data on continuous investigation of changes in beta-decay count rate of Cs-137 and Co-60 from 9.12.98 till 30.04.99, are presented. The 27-day and 24-hour periods in these changes, inexplicable by traditional physics, have…

High Energy Physics - Experiment · Physics 2007-05-23 Yu. A. Baurov , Yu. G. Sobolev , V. F. Kushniruk , A. N. Kuznetzov , A. A. Konradov

We study the deviations from the exponential decay law, both in quantum field theory (QFT) and quantum mechanics (QM), for an unstable particle which can decay in (at least) two decay channels. After a review of general properties of…

Nuclear Theory · Physics 2015-05-30 Francesco Giacosa

We study the survival probability of moving relativistic unstable particles with definite momentum $\vec{p} \neq 0$. The amplitude of the survival probability of these particles is calculated using its integral representation. We found…

High Energy Physics - Phenomenology · Physics 2017-08-23 K. Urbanowski

We study the time decay of magnetic Stark resonant states. As our main result we prove that for sufficiently large time these states decay exponentially with the rate given by the imaginary parts of eigenvalues of certain non-selfadjoint…

Mathematical Physics · Physics 2007-05-23 Christian Ferrari , Hynek Kovarik

We calculate the ground, first intrinsic excited states and density distribution for neutron-rich thorium and uranium isotopes, within the framework of relativistic mean field(RMF) approach using axially deformed basis. The total nucleon…

Nuclear Theory · Physics 2016-03-01 B. Kumar , S. K. Biswal , S. K. Singh , C. Lahiri , S. K. Patra

We use (nonconservative) dynamical semigroups to investigate the decay law of a quantum unstable system weakly coupled with a large environment. We find that the deviations from the classical exponential law are small and can be safely…

High Energy Physics - Theory · Physics 2009-10-31 F. Benatti , R. Floreanini

Late time properties of moving relativistic particles are studied. Within the proper relativistic treatment of the problem we find decay curves of such particles and we show that late time deviations of the survival probability of these…

High Energy Physics - Phenomenology · Physics 2014-10-03 K. Urbanowski

We derive sufficient conditions for exponential decay of solutions of the delay negative feedback equation with distributed delay. The conditions are written in terms of exponential moments of the distribution. Our method only uses…

Dynamical Systems · Mathematics 2020-05-08 Jan Haskovec

Recent analyses of datasets acquired at the Brookhaven National Laboratory and at the Physikalisch-Technische Bundesanstalt both show evidence of pronounced annual variations, suggestive of a solar influence. However, the phases of…

Solar and Stellar Astrophysics · Physics 2011-08-09 Peter A. Sturrock , John B. Buncher , Ephraim Fischbach , Daniel Javorsek , Jere H. Jenkins , Joshua J. Mattes

We study the phenomenology of neutrino decay together with neutrino oscillations in the context of eV-scale sterile neutrinos. We review the formalism of visible neutrino decay in which one of the decay products is a neutrino that…

High Energy Physics - Phenomenology · Physics 2018-03-21 Zander Moss , Marjon H. Moulai , Carlos A. Argüelles , Janet M. Conrad