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We compute the charge radii of even-mass neon and magnesium isotopes from neutron number N = 8 to the dripline. Our calculations are based on nucleon-nucleon and three-nucleon potentials from chiral effective field theory that include delta…

Nuclear Theory · Physics 2020-11-24 S. J. Novario , G. Hagen , G. R. Jansen , T. Papenbrock

We analyze the recoil corrections in superallowed beta decays of $T=1$, $J^P=0^+$ nuclei by fixing the mean square charge weak radius model-independently using the data of multiple charge radii across the nuclear isotriplet. By comparing to…

Nuclear Theory · Physics 2023-04-12 Chien-Yeah Seng

Using the charge density from the two-parameter Fermi model, a robust and nontrival correlation between binding energis and charge radii of mirror nuclei is newly proposed. This correlation enables simple yet reliable predictions of the…

Nuclear Theory · Physics 2024-11-26 Y. Lei , N. A. Alam , Z. Z. Qin , M. Bao , K. Y. Zhang , C. Ma

Charge radii can be generally used to encode information about various fine structures of finite nuclei. In this work, a constructed Bayesian neural network based on the Monte Carlo dropout approach is proposed to accurately describe the…

Nuclear Theory · Physics 2025-06-24 Zhen-Yan Xian , Yan Ya , Rong An

A systematic global investigation of differential charge radii has been performed within the CDFT framework for the first time. Theoretical results obtained with conventional covariant energy density functionals and separable pairing…

Nuclear Theory · Physics 2022-09-13 U. C. Perera , A. V. Afanasjev , P. Ring

A computationally efficient protocol for machine learning in chemical space using Boltzmann ensembles of conformers as input is proposed; the method is based on rewriting Kernel Ridge Regression expressions in terms of Structured Orthogonal…

Chemical Physics · Physics 2025-07-11 Konstantin Karandashev

The neutron skin of nuclei is an important fundamental property, but its accurate measurement faces many challenges. Inspired by charge symmetry of nuclear forces, the neutron skin of a neutron-rich nucleus is related to the difference…

Nuclear Theory · Physics 2020-12-02 M. K. Gaidarov , I. Moumene , A. N. Antonov , D. N. Kadrev , P. Sarriguren , E. Moya de Guerra

It has been recently suggested that differences in the charge radii of mirror nuclei are proportional to the neutron-skin thickness of neutron-rich nuclei and to the slope of the symmetry energy $L$ [B.A. Brown Phys. Rev. Lett. 119, 122502…

Nuclear Theory · Physics 2018-01-31 Junjie Yang , J. Piekarewicz

We propose a new method for feature learning and function estimation in supervised learning via regularised empirical risk minimisation. Our approach considers functions as expectations of Sobolev functions over all possible one-dimensional…

Machine Learning · Statistics 2025-05-01 Bertille Follain , Francis Bach

A unified description of the charge radii throughout the entire nuclide chart plays an essential role for our understanding of nuclear structure and fundamental nuclear interactions. In this work, the influence of new term, which catches…

Nuclear Theory · Physics 2025-08-05 Rong An , Shuai Sun , Xiang Jiang , Na Tang , Li-Gang Cao , Feng-Shou Zhang

The model inputs play a key role in the performance of the Bayesian optimization approach. In this paper, we investigate the influence of the inputs on the improved predictions of phenomenological nuclear charge radius formulas using an…

Nuclear Theory · Physics 2024-05-22 Song-Bo Zhao , Lu Sun , Cai-Xin Yuan , Ying-Chen Mao

Measurements of the difference between the squared charge radii of the helion ($^3$He nucleus) and the $\alpha$-particle ($^4$He nucleus) have been characterized by longstanding tensions, recently spotlighted in the 3.6 $\sigma$ discrepancy…

Nuclear Theory · Physics 2025-08-05 Simone Salvatore Li Muli , Thomas R. Richardson , Sonia Bacca

The exotic even-even isotopic chains from Z=32 to Z=38 are investigated by means of the relativistic Hartree-Bogoliubov (RHB) approach with the explicit Density Dependent Meson-Exchange (DD-ME2) and Density Dependent Point-Coupling (DD-PC1)…

Nuclear Theory · Physics 2021-02-24 M. El Adri , M. Oulne

In ab initio nuclear structure theory, accurately predicting electromagnetic observables, such as moments and transition rates, is essential for a comprehensive understanding of nuclear properties. However, computational limitations and…

Nuclear Theory · Physics 2025-12-22 Marco Knöll , Marc L. Agel , Tobias Wolfgruber , Pieter Maris , Robert Roth

Radii of charge and neutron distributions are fundamental nuclear properties. They depend on both nuclear interaction parameters related to the equation of state of infinite nuclear matter and on quantal shell effects, which are strongly…

Nuclear Theory · Physics 2016-08-17 P. -G. Reinhard , W. Nazarewicz

Charge-changing cross-sections of $^{11-16}$C, $^{13-17}$N and $^{15-18}$O on a carbon target have been determined at energies around 300 MeV/nucleon. A nucleon separation energy-dependent correction factor has been introduced to the…

We recently developed an Effective Field Theory (EFT) for rotational bands in odd-mass nuclei. Here we use EFT expressions to perform a Bayesian analysis of data on the rotational energy levels of $^{99}$Tc, ${}^{155,157}$Gd, ${}^{159}$Dy,…

Nuclear Theory · Physics 2022-03-07 I. K. Alnamlah , E. A. Coello Pérez , D. R. Phillips

We perform Hartree-Fock+BCS calculations for even-even nuclei with 2 <= Z <= 82 and N ranging from outside the proton drip line to the experimental frontier on the neutron-rich side. The ground state solutions are obtained for 737 nuclei,…

Nuclear Theory · Physics 2009-10-28 N. Tajima , N. Onishi , S. Takahara

Electron scattering is an effective method to study the nuclear structure. For the odd-$A$ nuclei with proton holes in the outmost orbits, we investigate the contributions of proton holes to the nuclear quadrupole moments $Q$ and magnetic…

Nuclear Theory · Physics 2016-03-23 Jian Liu , Xin Zhang , Chang Xu , Zhongzhou Ren

A new method is proposed to deduce the neutron radii of neutron-rich nuclei. This method requires measuring the reaction cross sections of both the neutron-rich nucleus and its stable isotope at the same energy on a proton target. Using…

Nuclear Theory · Physics 2020-04-22 I. A. M. Abdul-Magead , Eman Hamza , Badawy Abu-Ibrahim