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We report the first \textit{ab initio} calculation of the nuclear-structure-dependent radiative correction $ \delta_{ \mathrm{NS} } $ to the $ {}^{10}\mathrm{C} \rightarrow {}^{10}\mathrm{B} $ superallowed transition, computed with the…

Nuclear Theory · Physics 2025-10-21 Michael Gennari , Mehdi Drissi , Mikhail Gorchtein , Petr Navratil , Chien-Yeah Seng

We argue that the freezing transition scenario, previously explored in the statistical mechanics of 1/f-noise random energy models, also determines the value distribution of the maximum of the modulus of the characteristic polynomials of…

Mathematical Physics · Physics 2013-05-30 Yan V. Fyodorov , Ghaith A Hiary , Jonathan P. Keating

A fully analytical description of the allowed $\beta$ spectrum shape is given in view of ongoing and planned measurements. Its study forms an invaluable tool in the search for physics beyond the standard electroweak model and the weak…

Nuclear Theory · Physics 2018-06-01 Leendert Hayen , Nathal Severijns , Kazimierz Bodek , Xavier Mougeot , Dagmara Rozpedzik

Radiative corrections are essential for an accurate determination of $V_{ud}$ from superallowed $\beta$ decays. In view of recent progress in the single-nucleon sector, the uncertainty is dominated by the theoretical description of…

This is an overview over the prediction of astrophysical reaction rates in the statistical model, with special emphasis on the parametrization of optical alpha+nucleus potentials.

Nuclear Theory · Physics 2007-05-23 T. Rauscher

The expression for super-allowed beta-decay transition rates have been derived within the context of Coriolis coupling model. The derived expressions, valid for the beta-decay between any two mirror nuclei, has been applied to calculate…

Nuclear Theory · Physics 2009-04-06 M. Sultan Parvez , F. Bary Malik

We present a comprehensive re-evaluation of the $ft$ values in superallowed nuclear $\beta$ decays crucial for the precise determination of $V_{ud}$ and low-energy tests of the electroweak Standard Model. It consists of the first, fully…

Nuclear Theory · Physics 2024-04-11 Chien-Yeah Seng , Mikhail Gorchtein

We lay out a novel formalism to connect the isospin-symmetry breaking correction to the rates of superallowed nuclear beta decays, $\delta_\text{C}$, to the isospin-breaking sensitive combinations of electroweak nuclear radii that can be…

Nuclear Theory · Physics 2023-01-13 Chien-Yeah Seng , Mikhail Gorchtein

We study quantum-classical escape-rate transitions for uniaxial and biaxial models with finite spins S=10 (such as Mn_12Ac and Fe_8) and S=100 by a direct numerical approach. At second-order transitions the level making a dominant…

Statistical Mechanics · Physics 2009-10-31 D. A. Garanin , E. M. Chudnovsky

State transition algorithm (STA) has been emerging as a novel metaheuristic method for global optimization in recent few years. In our previous study, the parameter of transformation operator in continuous STA is kept constant or decreasing…

Optimization and Control · Mathematics 2018-12-20 Xiaojun Zhou

We tabulate spontaneous emission rates for all possible 811 electric-dipole-allowed transitions between the 75 lowest-energy states of Ca I. These involve the $4sns$ ($n=4-8$), $4snp$ ($n=4-7$), $4snd$ ($n=3-6$), $4snf$ ($n=4-6$), $4p^2$,…

Atomic Physics · Physics 2017-11-22 Yanmei Yu , Andrei Derevianko

Let PT-DFA mean a deterministic finite automaton whose transition relation is a partial function. We present an algorithm for minimizing a PT-DFA in $O(m \lg n)$ time and $O(m+n+\alpha)$ memory, where $n$ is the number of states, $m$ is the…

Information Theory · Computer Science 2008-02-21 Antti Valmari , Petri Lehtinen

A new formulation of statistical mechanics is put forward according to which a random variable characterizing a macroscopic body is postulated to be infinitely divisible. It leads to a parametric representation of partition function of an…

Mathematical Physics · Physics 2008-11-06 E. D. Belokolos

We present a numerical study of the quantum action previously introduced as a parametrisation of Q.M. transition amplitudes. We address the questions: Is the quantum action possibly an exact parametrisation in the whole range of transition…

Quantum Physics · Physics 2009-11-07 D. Huard , H. Kröger , G. Melkonyan , K. J. M. Moriarty , L. P. Nadeau

We consider a switching rate of a meta-stable reaction scheme, which includes reactions with arbitrary steps, e.g. $kA\to(k+r)A$. Employing WKB approximation, controlled by a large system size, we evaluate both the exponent and the…

Statistical Mechanics · Physics 2015-05-13 Carlos Escudero , Alex Kamenev

A single 40Ca+ ion is trapped and laser cooled to its motional ground state. Laser radiation which couples off-resonantly to a motional sideband of the ion's S1/2 to D5/2 transition causes a phase shift proportional to the ion's motional…

Quantum Physics · Physics 2007-05-23 F. Schmidt-Kaler , H. Haeffner , S. Gulde , M. Riebe , G. Lancaster , J. Eschner , C. Becher , R. Blatt

We identify regimes where post-selection can be used scalably in quantum error correction (QEC) to improve performance. We use statistical mechanical models to analytically quantify the performance and thresholds of post-selected QEC, with…

Quantum Physics · Physics 2025-09-22 Lucas H. English , Dominic J. Williamson , Stephen D. Bartlett

The character of an electronically excited state is one of the most important descriptors employed to discuss the photophysics and photochemistry of transition metal complexes. In transition metal complexes, the interaction between the…

Chemical Physics · Physics 2018-02-14 Sebastian Mai , Felix Plasser , Johann Dorn , Maria Fumanal , Chantal Daniel , Leticia González

An extensive set of fine structure levels and corresponding transition probabilities for allowed and forbidden transitions in Fe XVII is presented. A total of 490 bound energy levels of Fe XVII of total angular momenta 0 <= J <= 7 of even…

Astrophysics · Physics 2011-05-23 Sultana N. Nahar , Werner Eissner , Guo-Xin Chen , Anil K. Pradhan

We have measured the half-life of the superallowed 0+ -to- 0+ beta+ emitter 26Si to be 2245.3(7) ms. We used pure sources of 26Si and employed a high-efficiency gas counter, which was sensitive to positrons from both this nuclide and its…

Nuclear Experiment · Physics 2014-11-21 V. E. Iacob , J. C. Hardy , A. Banu , L. Chen , V. V. Golovko , J. Goodwin , V. Horvat , N. Nica , H. I. Park , L. Trache , R. E. Tribble