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We propose formulas of the nuclear beta-decay rate that are useful in a practical calculation. The decay rate is determined by the product of the lepton and hadron current densities. A widely used formula relies upon the fact that the…

Nuclear Theory · Physics 2021-04-01 W. Horiuchi , T. Sato , Y. Uesaka , K. Yoshida

Neutrinoless double beta ($0\nu\beta\beta$) decays of spin-1/2 hyperons are investigated in a covariant baryon chiral perturbation theory framework, extended by a $\Delta L=2$ operator proportional to the Majorana neutrino mass, where $L$…

High Energy Physics - Phenomenology · Physics 2026-02-10 Zi-Ying Zhao , Ze-Rui Liang , Feng-Kun Guo , Li-Ping He , De-Liang Yao

We use heavy-nucleus effective field theory to compute radiative corrections to two-neutrino double-$\beta$ decay ($2\nu\beta\beta$). Our main result is the first derivation of a universal radiative-correction factor for double-weak decays…

High Energy Physics - Phenomenology · Physics 2026-03-26 Jordy de Vries , Emanuele Mereghetti , Saad el Morabit , Stefan Sandner

We investigate the contributions of the hadronic structure of the neutron to radiative $O(\alpha E_e/m_N)$ corrections (or the inner $O(\alpha E_e/m_N)$ RC) to the neutron beta decay, where $\alpha$, $E_e$ and $m_N$ are the fine-structure…

High Energy Physics - Phenomenology · Physics 2021-06-30 A. N. Ivanov , R. Höllwieser , N. I. Troitskaya , M. Wellenzohn , Ya. A. Berdnikov

I give a taste of recent progress in using chiral perturbation theory to understand nucleon and deuteron structure.

Nuclear Theory · Physics 2017-08-23 Silas R. Beane

We formulate a new power-counting scheme for a chiral effective field theory of nucleons, pions, and Deltas. This extends chiral perturbation theory into the Delta-resonance region. We calculate nucleon Compton scattering up to…

Nuclear Theory · Physics 2016-09-08 Vladimir Pascalutsa , Daniel R. Phillips

We provide a short introduction to the one-nucleon sector of chiral perturbation theory and address the issue of power counting and renormalization. We discuss the infrared regularization and the extended on-mass-shell scheme. Both allow…

High Energy Physics - Phenomenology · Physics 2015-06-03 Stefan Scherer

We calculate the cross section of the inverse beta decay process, $\nu_e+n\to p+e$, in a background magnetic field which is much smaller than $m_p^2/e$. Using exact solutions of the Dirac equation in a constant magnetic field, we find the…

High Energy Physics - Phenomenology · Physics 2009-11-06 Kaushik Bhattacharya , Palash B. Pal

New observables with which we can study the two-nucleon weak interactions at low energies are considered. In the breakup of the deuteron by photons, polarization of outgoing neutrons can depend on the parity-violating component of…

Nuclear Theory · Physics 2015-06-15 J. W. Shin , C. H. Hyun , S. -I. Ando , S. W. Hong

Elastic pion-nucleon scattering is analyzed in the framework of chiral perturbation theory up to fourth order within the heavy-baryon expansion and a covariant approach based on an extended on-mass-shell renormalization scheme. We discuss…

Nuclear Theory · Physics 2016-08-03 D. Siemens , V. Bernard , E. Epelbaum , A. Gasparyan , H. Krebs , Ulf-G. Meißner

Bulk and decay properties, including deformation energy curves, charge mean square radii, Gamow-Teller (GT) strength distributions, and beta-decay half-lives, are studied in neutron-deficient even-even and odd-A Hg and Pt isotopes. The…

Nuclear Theory · Physics 2015-03-11 J. M. Boillos , P. Sarriguren

We analyse the proton recoil energy and angular distribution of the radiative beta-decay of the neutron to leading order in the large baryon mass expansion by taking into account the contributions of the proton-photon correlations. We show…

High Energy Physics - Phenomenology · Physics 2013-09-30 A. N. Ivanov , R. Hollwieser , N. I. Troitskaya , M. Wellenzohn

We present a projector formalism which allows to define dynamical polarizabilities of the nucleon from a multipole expansion of the nucleon Compton amplitudes. We give predictions for the energy dependence of these dynamical…

The subprocess $nn\to ppe^-e^-$ is a key ingredient in the interpretation of nuclear neutrinoless double-beta decay. Intermediate $\Delta$ resonances may provide additional enhancements to this transition. We take a first step toward a…

High Energy Physics - Phenomenology · Physics 2026-04-15 Li-Ping He , Feng-Kun Guo , Ulf-G. Meißner , De-Liang Yao , Xiao-Yu Zhang , Zhen-Hua Zhang

We consider tritium beta decay with additional emission of light pseudoscalar or vector bosons coupling to electrons or neutrinos. The electron energy spectrum for all cases is evaluated and shown to be well estimated by approximated…

In the Standard Model of electroweak interactions and in the tree--approximation we calculate the rate and branching ratio of the neutron radiative beta decay with one-real photon emission by taking into account the contributions of the…

High Energy Physics - Phenomenology · Physics 2017-03-01 A. N. Ivanov , R. Höllwieser , N. I. Troitskaya , M. Wellenzohn , Ya. A. Berdnikov

The accuracy of $V_{ud}$ determinations from superallowed $\beta$ decays critically hinges on control over radiative corrections. Recently, substantial progress has been made on the single-nucleon, universal corrections, while…

High Energy Physics - Phenomenology · Physics 2024-11-20 Vincenzo Cirigliano , Wouter Dekens , Jordy de Vries , Stefano Gandolfi , Martin Hoferichter , Emanuele Mereghetti

We re-investigate the radiative charged kaon decay K+- --> pi0 e+- nu_e gamma in chiral perturbation theory, merging the chiral expansion with Low's theorem. We thoroughly analyze the precision of the predicted branching ratio relative to…

High Energy Physics - Phenomenology · Physics 2008-11-26 Bastian Kubis , Eike H. Müller , Jürg Gasser , Martin Schmid

The beta-decay of a neutron into a bound $(pe^-)$ state and an antineutrino in the presence of a strong uniform magnetic field ($B \gtrsim 10^{13}$ G) is considered. The beta-decay process is treated within the framework of the standard…

High Energy Physics - Phenomenology · Physics 2009-11-10 Konstantin A. Kouzakov , Alexander I. Studenikin

An effective field theory is used to give a model-independent description of Compton scattering at energies comparable to the pion mass. The amplitudes for scattering on the proton and the deuteron, calculated to fourth order in small…

Nuclear Theory · Physics 2008-11-26 S. R. Beane , M. Malheiro , J. A. McGovern , D. R. Phillips , U. van Kolck