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The summation method for the calculation of reactor $\bar{\nu}_e$ fluxes and spectra is methodically revised and improved. For the first time, a complete uncertainty budget accounting for all known effects likely to impact these…

$\beta$-decay rates of neutron-rich nuclei, in particular those located at neutron shell closures, play a central role in simulations of the heavy-element nucleosynthesis and resulting abundance distributions. We present $\beta$-decay…

Nuclear Theory · Physics 2022-03-14 Caroline Robin , Elena Litvinova , Gabriel Martínez-Pinedo

In the present paper we treat the second-forbidden non-unique (2nd-nu) ground-state-to-ground-state $\beta^-$ decay $^{99}\textrm{Tc}(9/2^+)\to\,^{99}\textrm{Ru}(5/2^+)$, with a 100$\%$ branching ratio, within the framework of the nuclear…

Nuclear Theory · Physics 2023-12-13 Marlom Ramalho , Jouni Suhonen

Beta-decay rates for spherical neutron-rich r-process waiting-point nuclei are calculated within a fully self-consistent Quasiparticle Random-Phase Approximation, formulated in the Hartree-Fock-Bogolyubov canonical single-particle basis.…

Nuclear Theory · Physics 2009-10-31 J. Engel , M. Bender , J. Dobaczewski , W. Nazarewicz , R. Surman

A consistent microscopic diagrammatic approach is applied for the first time to the calculation of the nucleon emission spectra in the non-mesonic weak decay of Lambda-hypernuclei. We adopt a nuclear matter formalism extended to finite…

Nuclear Theory · Physics 2015-03-19 E. Bauer , G. Garbarino

The measured $ft$-values for superallowed $0^{+} \to 0^{+}$ nuclear $\beta$-decay can be used to obtain the value of the vector coupling constant and thus to test the unitarity of the Cabibbo-Kobayashi-Maskawa matrix. An essential…

Nuclear Theory · Physics 2009-11-07 I. S. Towner , J. C. Hardy

An electron density functional approach for the calculation of the nuclear multipole moments is presented. The electronic matrix elements entering the experimentally observed hyperfine electron-nucleus interaction constants in atoms are…

Nuclear Theory · Physics 2007-05-23 R. L. Pavlov , P. P. Raychev , V. P. Garistov , M. Dimitrova-Ivanovich , J. Maruani

To explore the applicability of orbital-free density functional theory (OF-DFT) in nuclear physics, we perform a systematic benchmark of 36 one-point kinetic energy density functionals, which are originally developed for electron systems in…

Nuclear Theory · Physics 2026-05-20 Tian Shuai Shang , Jian Li , Haozhao Liang , Xinhui Wu , Cheng Ma , Wenhui Mi , Xuecheng Shao , Yanchao Wang

The Quasiparticle Random Phase Approximation equations are solved taking into account the Pauli Principle at the expectation value level, and allowing changes in the mean field occupation numbers to minimize the energy while having the…

Nuclear Theory · Physics 2009-11-06 Alejandro Mariano , Jorge G. Hirsch

The abBA collaboration proposes to conduct a comprehensive program of precise measurements of neutron $\beta$-decay coefficients $a$ (the correlation between the neutrino momentum and the decay electron momentum), $b$ (the electron energy…

High Energy Physics - Experiment · Physics 2007-05-23 E. Frlez

We present a Fermi golden rule giving rates of decay of states obtained by perturbing embedded eigenvalues of a quantum graph. To illustrate the procedure in a notationally simpler setting we also present a Fermi Golden Rule for boundary…

Mathematical Physics · Physics 2016-09-13 Minjae Lee , Maciej Zworski

Using soft-collinear effective theory (SCET), we examine the 1/m_b corrections to the factorization formulas for inclusive semi-leptonic B decays in the endpoint region, where the hadronic final state consists of a single jet. At tree…

High Energy Physics - Phenomenology · Physics 2011-01-27 M. Beneke , F. Campanario , T. Mannel , B. D. Pecjak

An improved formalism of the two-neutrino double-beta decay ($2\nu\beta\beta$-decay) rate is presented, which takes into account the dependence of energy denominators on lepton energies via the Taylor expansion. Till now, only the leading…

Nuclear Theory · Physics 2018-04-13 Fedor Šimkovic , Rastislav Dvornický , Dušan Štefánik , Amand Faessler

We generalize the pointwise decay estimates for large data solutions of the defocusing semilinear wave equations which we obtained earlier under restriction to spherical symmetry. Without the symmetry the conformal transformation we use…

Analysis of PDEs · Mathematics 2010-02-22 Roger Bieli , Nikodem Szpak

The spectral statistics of nuclei undergo through the major forms of radioactive decays ((\alpha)(\beta^-), and(\beta^+) (or EC)) and also stable nuclei are investigated. With employing the MLE technique in the nearest neighbor spacing…

Nuclear Theory · Physics 2012-09-25 M. A. Jafarizadeh , N. Fouladi , H. Sabri , B. Rashidian Maleki

We approach the calculation of the nuclear matrix element of the neutrinoless double-beta decay process, considering the light-neutrino-exchange channel, by way of the realistic shell model. To this end, we start from a realistic…

Nuclear Theory · Physics 2020-04-29 L. Coraggio , A. Gargano , N. Itaco , R. Mancino , F. Nowacki

We propose a multipole representation of the Fermi-Dirac function and the Fermi operator, and use this representation to develop algorithms for electronic structure analysis of metallic systems. The new algorithm is quite simple and…

Materials Science · Physics 2010-10-26 Lin Lin , Jianfeng Lu , Roberto Car , Weinan E

The mechanism of beta decay in nature is not understood yet. Mirrored energy spectra of electron and antineutrino can clarify the situation. A special experiment is needed to measure antineutrino spectrum from known beta-decaying isotope to…

High Energy Physics - Phenomenology · Physics 2021-02-26 S. V. Silaeva , V. V. Sinev

Precision beta decay experiments serve as powerful probes of physics beyond the Standard Model, enabling stringent tests of fundamental symmetries of nature. In particular, these experiments primarily focus on precise determinations of the…

Nuclear Theory · Physics 2026-02-03 Grigor H. Sargsyan , Garrett B. King , Ayala Glick-Magid , Chien-Yeah Seng

The electronic band structure, describing the periodic dependence of electronic quantum states on lattice momentum in reciprocal space, is a fundamental concept in solid-state physics. However, it's only well-defined for static nuclei. To…