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For twenty years research into the anomalies in the HF spectra was going in a wrong direction by fighting the related Bohr-Weisskopf effect. As a way out, the model-independent way is proposed of estimating the nuclear radii from the…

Nuclear Theory · Physics 2015-12-09 F. F. Karpeshin , M. B. Trzhaskovskaya

High-precision laser spectroscopy of atomic energy levels enables the measurement of nuclear properties. Sensitivity to these properties is particularly enhanced in muonic atoms which are bound systems of a muon and a nucleus. Exemplary is…

Atomic Physics · Physics 2016-08-12 Aldo Antognini

An ab initio quantum Monte Carlo method is introduced for calculating total rates of muon weak capture in light nuclei with mass number $A \leq 12$. As a first application of the method, we perform a calculation of the rate in $^4$He in a…

Nuclear Theory · Physics 2019-09-18 A. Lovato , N. Rocco , R. Schiavilla

We study in detail the influence of the nuclear form factor both on the Born cross section and on the Coulomb corrections to the photo-production of muon pairs off heavy nuclei (gamma Z -> mu+ mu- Z$) and in heavy-ion collisions (ZZ -> ZZ…

High Energy Physics - Phenomenology · Physics 2009-11-16 U. D. Jentschura , V. G. Serbo

Background: The nuclear charge radius and distribution are the most fundamental quantities of the atomic nucleus. From the muonic transition energies, the absolute charge radius has been experimentally obtained, while there have been no…

The nuclear recoil correction to the bound-electron g factor in H-like atoms is calculated to first order in $m/M$ and to all orders in $\alpha Z$. The calculation is performed in the range Z=1-100. A large contribution of terms of order…

Atomic Physics · Physics 2016-09-08 V. M. Shabaev , V. A. Yerokhin

We set up a formalism to calculate the charge form factors of two-neutron halo nuclei with S-wave neutron-core interactions in the framework of the halo effective field theory. The method is applied to some known and suspected halo nuclei.…

Nuclear Theory · Physics 2014-01-20 P. Hagen , H. -W. Hammer , L. Platter

The nuclear transition matrix elements $M^{(0\nu)}$ for the neutrinoless double beta decay of $^{94,96}$Zr, $^{98,100}$Mo, $^{104}$Ru, $^{110}$Pd, $^{128,130}$Te and $^{150}$Nd isotopes in the case of $0^{+}\rightarrow 0^{+}$ transition are…

Nuclear Theory · Physics 2015-05-27 P. K. Rath , R. Chandra , K. Chaturvedi , P. K. Raina , J. G. Hirsch

We plan to develop a new nuclear database for muon-induced nuclear reactions (muon nuclear data). The database will consist of (1) energies and intensities of the muonic X rays, (2) lifetimes of the muonic atom, (3) production branching…

Should muon-to-electron conversion in the field of a nucleus be found in the current generation of experiments, the measurement of the atomic number dependence of the process will become an important experimental goal. We present a new…

High Energy Physics - Phenomenology · Physics 2025-05-28 Léo Borrel , David G. Hitlin , Sophie Middleton

Darwin-Foldy nuclear-size corrections in electronic atoms and nuclear radii are discussed from the nuclear-physics perspective. Interpretation of precise isotope-shift measurements is formalism dependent, and care must be exercised in…

Nuclear Theory · Physics 2008-11-26 J. L. Friar , J. Martorell , D. W. L. Sprung

Pulsed nuclear magnetic resonance (NMR) is widely used in high-precision magnetic field measurements. The absolute value of the magnetic field is determined from the precession frequency of nuclear magnetic moments. The Hilbert transform is…

We report a measurement of the positive muon lifetime to a precision of 1.0 parts per million (ppm); it is the most precise particle lifetime ever measured. The experiment used a time-structured, low-energy muon beam and a segmented plastic…

We perform a new calculation of the hadronic contributions, $a({\rm Hadronic})$ to the anomalous magnetic moment of the muon, $a_\mu$. For the low energy contributions of order $\alpha^2$ we carry over an analysis of the pion form factor…

High Energy Physics - Phenomenology · Physics 2009-11-07 J. F. de Troconiz , F. J. Yndurain

We survey a new generation of precision muon lifetime experiments. The goal of the MuCap experiment is a determination of the rate for muon capture on the free proton to 1 percent, from which the induced pseudoscalar form factor $g_P$ of…

Nuclear Experiment · Physics 2019-08-14 Peter Kammel

The phase variation with angle of hadronic amplitudes is studied with a view to understanding the underlying physical quantities which control it and how well it can be determined in free space. We find that unitarity forces a moderately…

Nuclear Theory · Physics 2008-11-26 J. P. Dedonder , W. R. Gibbs , Mutazz Nuseirat

In this work we investigate the so-called model-space Brueckner-Hartree-Fock (MBHF) approach for nuclear matter as well as for neutron matter and the extension of this which includes the particle-particle and hole-hole (PPHH) diagrams. A…

Nuclear Theory · Physics 2009-10-30 L. Engvik , E. Osnes , M. Hjorth-Jensen , T. T. S. Kuo

Precision spectroscopy of hyperfine splitting (HFS) is a crucial tool for investigating the structure of nuclei and testing quantum electrodynamics (QED). However, accurate theoretical predictions are hindered by two-photon exchange (TPE)…

Nuclear Theory · Physics 2023-11-23 Chen Ji , Xiang Zhang , Lucas Platter

We compute nuclear matrix elements for neutrinoless double electron capture on $^{152}$Gd, $^{164}$Er and $^{180}$W nuclei. Recent precise mass measurements for these nuclei have shown a large resonance enhancement factor that makes them…

Nuclear Theory · Physics 2015-06-04 Tomas R. Rodriguez , Gabriel Martinez-Pinedo

The rate of nuclear muon capture by the proton has been measured using a new experimental technique based on a time projection chamber operating in ultra-clean, deuterium-depleted hydrogen gas at 1 MPa pressure. The capture rate was…