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Latest experimental and evaluated $\alpha$-decay half-lives between 82$\leq$Z$\leq$118 have been used to modify two empirical formulas: (i) Horoi scaling law [J. Phys. G \textbf{30}, 945 (2004)], and Sobiczewski formula [Acta Phys. Pol. B…

Nuclear Theory · Physics 2021-05-26 G. Saxena , P. K. Sharma , Prafulla Saxena

The extractions of nuclear charge radii from muonic atom spectroscopy for $^{40}$Ca and $^{208}$Pb are revisited to analyze the model dependencies induced by employing a Fermi-type charge distribution. For that, the charge densities,…

Nuclear Theory · Physics 2023-10-18 Hui Hui Xie , Tomoya Naito , Jian Li , Haozhao Liang

The neutrino-nucleus cross section and the muon capture rate are discussed within a simple formalism which facilitates the nuclear structure calculations. The corresponding formulae only depend on four types of nuclear matrix elements,…

Nuclear Theory · Physics 2007-05-23 F. Krmpotic , A. Samana , A. Mariano

We reevaluate the hadronic contribution to the running of the QED fine structure constant alpha(s) at s = M_Z^2. We use data from e+e- annihilation and tau decays at low energy and at the qq-bar thresholds, where resonances occur. Using…

High Energy Physics - Phenomenology · Physics 2016-02-17 M. Davier , A. Hoecker

We reevaluate the hadronic contribution to the running of the QED fine structure constant \aqed at $s=M_{\rm Z}^2$. We use data from \ee\ annihilation and $\tau$ decays at low energy and at the $q\bar{q}$ thresholds, where resonances occur.…

High Energy Physics - Phenomenology · Physics 2008-11-26 Michel Davier , Andreas Hoecker

An investigation of the calculated $\alpha$ decay half-lives of super heavy nuclei (SHN) reveals that the diffuseness parameter is a great bottleneck for achieving accurate results and predictions. In particular, when universal proximity…

Nuclear Theory · Physics 2021-01-19 Aladdin Abdul-latif , Omar Nagib

The nuclear recoil effect on the $g$ factor of H- and Li-like heavy ions is evaluated to all orders in $\alpha Z$. The calculations include an approximate treatment of the nuclear size and the electron-electron interaction corrections to…

Atomic Physics · Physics 2018-04-03 A. V. Malyshev , V. M. Shabaev , D. A. Glazov , I. I. Tupitsyn

A systematic study of the central depletion of proton density has been performed in the isotonic chains of nuclei with neutron numbers $N = 20$ and $28$ using different variants of the relativistic mean-field (RMF) models. These models…

Nuclear Theory · Physics 2019-05-22 G. Saxena , M. Kumawat , B. K. Agrawal , Mamta Aggarwal

In this work, a microscopic effective nucleon-nucleon interaction based on the Dirac-Brueckner-Hartree-Fock $G$ matrix starting from a bare nucleon-nucleon interaction is used to explore the $\alpha$-decay half-lives of the nuclei near…

Nuclear Theory · Physics 2025-11-12 Jing Li , Shan He , Yueqing Li , Weiwei Wang , Yanzhao Wang , Jianzhong Gu

Formulas for the combined nuclear-recoil and finite-nuclear-size effects of order $(Z\,\alpha)^5$ and $(Z\,\alpha)^6$ are derived without any expansion in the nuclear charge radius $r_C$, making them applicable to both electronic and muonic…

Atomic Physics · Physics 2025-03-31 Krzysztof Pachucki , Vojtěch Patkóš , Vladimir A. Yerokhin

We show that the electromagnetic moments of unstable particles (resonances) have an absorptive contribution which quantifies the change of the particle's lifetime in an external electromagnetic field. To give an example we compute here the…

High Energy Physics - Phenomenology · Physics 2009-09-01 Daniele Binosi , Vladimir Pascalutsa

A complete calculation of phase space factors (PSF) for Majoron emitting $0\nu\beta^-\beta^-$ decay modes is presented. The calculation makes use of exact Dirac wave functions with finite nuclear size and electron screening and includes…

Nuclear Theory · Physics 2015-09-18 J. Kotila , J. Barea , F. Iachello

Effect of deformation on half-life of two-proton (2p) radioactivity is investigated across the periodic chart for nuclei with Z$<$82. 2p-decay half-lives are estimated by employing our newly proposed semi-empirical formula wherein the…

Nuclear Theory · Physics 2022-12-07 G. Saxena , Mamta Aggarwal , D. Singh , A. Jain , P. K. Sharma , H. L. Yadav

An extensive study of $\alpha$-decay half-lives for various decay chains of isotopes of $Z$ = 120 is performed within the axially deformed relativistic mean-field (RMF) formalism by employing the NL3, NL3$^*$, and DD-ME2 parameter set. The…

Nuclear Theory · Physics 2021-08-30 N. Biswal , Nishu Jain , Raj Kumar , A. S. Pradeep , M. Bhuyan

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

The finite-nuclear size correction to the fine structure of muonic atoms are considered. The procedure for the analytical calculation of the energies and wave functions has been derived in a homogeneously charged sphere nuclear charge…

Atomic Physics · Physics 2017-11-20 Abu Saleh Musa Patoary , Natalia S. Oreshkina

The precise value of the mean neutron lifetime, $\tau_n$, plays an important role in nuclear and particle physics and cosmology. It is a key input for predicting the ratio of protons to helium atoms in the primordial universe and is used to…

We calculate the lifetime of the deuteron from dimension-six quark operators that violate baryon number by one unit. We construct an effective field theory for $|\Delta B|=1$ interactions that give rise to nucleon and $\Delta B=1$ deuteron…

Nuclear Theory · Physics 2021-08-02 F. Oosterhof , J. de Vries , R. G. E. Timmermans , U. van Kolck

The Microscopic Otical Model Potential is evaluated within a relativistic scheme which provides a natural and consistent relation between the spin-orbit part and the central part of the potential. The Dirac-Brueckner-Hartree-Fock (DBHF)…

Nuclear Theory · Physics 2016-09-21 Ruirui Xu , Zhongyu Ma , Yue Zhang , Yuan Tian , E. N. E. van Dalen , H. Müther

Muon capture on nuclei is one of the most promising probes of the nuclear electroweak current driving the yet-hypothetical neutrinoless double-beta ($0\nu\beta\beta$) decay. Both processes involve vector and axial-vector currents at finite…

Nuclear Theory · Physics 2024-06-12 Lotta Jokiniemi , Petr Navratil , Jenni Kotila , Kostas Kravvaris