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We present simple derivations of nuclear $\beta$-decay correlations with an emphasis on the special role of helicity. This provides a good opportunity to teach students about helicity and chirality in particle physics through exercises…

Physics Education · Physics 2017-01-04 Ran Hong , Matthew G. Sternberg , Alejandro García

The angular correlation of the electrons in the neutrinoless double beta decay ($0\nu2\beta$) is calculated taking into account the nucleon recoil, the $S$ and $P$-waves for the electrons and the electron mass using a general Lorentz…

High Energy Physics - Phenomenology · Physics 2022-04-29 A. Ali , A. V. Borisov , D. V. Zhuridov

Dark matter searches using dual-phase xenon time-projection chambers (LXe-TPCs) rely on their ability to reject background electron recoils (ERs) while searching for signal-like nuclear recoils (NRs). ER response is typically calibrated…

We investigate the impact of radiative and atomic exchange corrections in the two-neutrino double-beta ($2\nu\beta\beta$)-decay of $^{100}$Mo. In the calculation of the exchange correction, the electron wave functions are obtained from a…

Nuclear Theory · Physics 2026-02-04 Ovidiu Niţescu , Fedor Šimkovic

In this article, we analyze some nuclear structure aspects of the neutrinoless double beta decay nuclear matrix elements (NME), in the framework of the Interacting Shell Model. We give results for the decays of 48Ca, 76Ge, 82Se, 124Sn,…

Nuclear Theory · Physics 2008-11-26 E. Caurier , F. Nowacki , A. Poves

Latest results on $0\nu\beta\beta$, $0\nu\chi^0\beta\beta$ and $2\nu\beta\beta$ decays of different isotopes from NEMO-3 double beta decay experiment are presented. In particular, new limits at 90% C.L. on neurtinoless double beta decay of…

High Energy Physics - Experiment · Physics 2007-05-23 A. S. Barabash

We perform a global fit of the most relevant neutrinoless double beta decay experiments within the standard model with massive Majorana neutrinos. Using Bayesian inference makes it possible to take into account the theoretical uncertainties…

High Energy Physics - Phenomenology · Physics 2013-04-05 Johannes Bergstrom

The rate for the photon emission accompanying orbital 1S electron capture by the atomic nucleus is recalculated. While a photon can be emitted by the electron or by the nucleus, the use of the length gauge significantly suppresses the…

Nuclear Theory · Physics 2008-11-26 K. Pachucki , U. D. Jentschura , M. Pfutzner

A triple-product correlation in the radiative \beta-decay rate of neutrons or of nuclei, characterized by the kinematic variable \xi\equiv (\vec{l}_\nu\times\vec{l}_e)\cdot\vec{k}, where, e.g., n(p) \to p(p') + e^-(l_e) + \bar{\nu}_e(l_\nu)…

High Energy Physics - Phenomenology · Physics 2013-08-09 Susan Gardner , Daheng He

We obtain bounds for the neutrino masses by combining atmospheric and solar neutrino data with the phenomenology of neutrinoless double beta decay where hypothetical values of |< m>| are envisaged from future 0\nu\beta\beta-experiments.…

High Energy Physics - Phenomenology · Physics 2009-11-07 Per Osland , Geir Vigdel

Conflicting results from two experiments studying the decay of Cl-36 point to instrumental artifacts rather than a solar influence being responsible for variations in measured counting rates.

Nuclear Experiment · Physics 2012-08-23 Eric B. Norman

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

The ratio of the alpha-decay widths of a bare nucleus and the related atom is calculated. Both the change of the form and thus the penetrability of the potential barrier and the effect of reflection in the classically-allowed region…

Nuclear Theory · Physics 2012-12-04 Sergey Yu. Igashov , Yury M. Tchuvil'sky

A weak-rate library aimed at investigating the sensitivity of astrophysical environments to variations of electron-capture rates on medium-heavy nuclei has been developed. With this library, the sensitivity of the core-collapse and early…

High Energy Astrophysical Phenomena · Physics 2016-01-13 Chris Sullivan , Evan O'Connor , Remco G. T. Zegers , Thomas Grubb , Sam M. Austin

This paper investigates the beta decay of nuclei within the sd model space, encompassing the $0d_{3/2}$, $0d_{5/2}$, and $1s_{1/2}$ shells. We comprehensively analyze their decay characteristics, including the half-life, $logft$ value, Q…

Nuclear Theory · Physics 2023-07-25 Surender Siwach

For a variety of radionuclides which decay via $\beta^{-}$ and a weak $\beta^{+}$-channel the electron-capture (EC) is not observed yet. As the interest of exact decay characteristica increased again, not least with the need of reliable…

Nuclear Experiment · Physics 2018-04-18 A. R. Domula , K. Zuber

We report the first measurement of angular correlation parameters in neutron $\beta$-decay using polarized ultracold neutrons (UCN). We utilize UCN with energies below about 200 neV, which we guide and store for $\sim 30$ s in a Cu decay…

Nuclear Experiment · Physics 2009-01-14 R. W. Pattie

We have previously focused on studying the electron-capture isotopes within the dynamic spiral-arms model and empirically derived the energy dependence of the electron attachment rate using the observation of $^{49}$Ti/$^{49}$V and…

High Energy Astrophysical Phenomena · Physics 2018-08-22 David Benyamin , Nir J. Shaviv

In this talk I will review the "state of the art" of the calculations of the nuclear matrix elements (NME) of the neutrinoless double beta decays for the nuclei 48Ca, 76Ge, 82Se, 124Sn, 128Te, 130Te and 136Xe in the framework of the…

Nuclear Theory · Physics 2008-09-15 J. Menendez , A. Poves , E. Caurier , F. Nowacki