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We introduce a robust, interpretable machine learning (ML) framework that combines numerical regression for high-accuracy predictions with symbolic regression to uncover the underlying physics. This hybrid approach effciently derives…

Nuclear Theory · Physics 2025-12-09 B. Maheshwari , P. Van Isacker

Background: The "proton radius puzzle" refers to an eight-year old problem that highlights major inconsistencies in the extraction of the charge radius of the proton from muonic Lamb-shift experiments as compared against experiments using…

Nuclear Theory · Physics 2019-05-22 Shuang Zhou , P. Giuliani , J. Piekarewicz , Anirban Bhattacharya , Debdeep Pati

We report the charge-changing cross sections ($\sigma_{\text{cc}}$) of 24 $p$-shell nuclides on both hydrogen and carbon at about 900$A$ MeV, of which $^{8,9}$Li, $^{10\textendash12}$Be, $^{10,14,15}$B, $^{14,15,17\textendash22}$N and…

Isotope shifts of the mean square radii (MSR) and electric quadrupole moments of even-even nuclei with 20< Z < 98$ are calculated using a dynamical microscopic model. A single particle Nilsson potential with the Seo set of correction term…

Nuclear Theory · Physics 2009-09-25 Bozena Nerlo-Pomorska , Beata Mach

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 region of heavy calcium isotopes forms the frontier of experimental and theoretical nuclear structure research where the basic concepts of nuclear physics are put to stringent test. The recent discovery of the extremely neutron-rich…

Nuclear Theory · Physics 2020-01-17 Léo Neufcourt , Yuchen Cao , Witold Nazarewicz , Erik Olsen , Frederi Viens

Lattice QCD calculations of nucleon form factors are restricted to discrete values of the Euclidean four-momentum transfer. Therefore, the extraction of radii typically relies on parametrizing and fitting the lattice QCD data to obtain its…

High Energy Physics - Lattice · Physics 2020-07-01 Constantia Alexandrou , Kyriakos Hadjiyiannakou , Giannis Koutsou , Konstantin Ottnad , Marcus Petschlies

We have determined the proton and the neutron charge radii from a global analysis of the proton and the neutron elastic form factors, after first performing a flavor decomposition of these form factors under charge symmetry in the light…

Nuclear Experiment · Physics 2021-02-24 H. Atac , M. Constantinou , Z. -E. Meziani , M. Paolone , N. Sparveris

The anomalous behaviour of the charge radii of the isotopic chain of Pb nuclei has been studied in the relativistic mean field theory. It has been shown that the relativistic mean field provides an excellent description of the anomalous…

Nuclear Theory · Physics 2009-10-22 M. M. Sharma , G. A. Lalazissis , P. Ring

We combine nonlocal effects with Bayesian Neural Network (BNN) methods to enhance the prediction accuracy of $\alpha$ decay half-lives. The results indicate that accounting for nonlocal effects significantly impacts the half-life…

Nuclear Theory · Physics 2025-10-17 Xuanpeng Xiao , Panpan Qi , Gongming Yu , Haitao Yang , Qiang Hu

Measuring neutron star radii with spectroscopic and timing techniques relies on the combination of multiple observables to break the degeneracies between the mass and radius introduced by general relativistic effects. Here, we explore a…

High Energy Astrophysical Phenomena · Physics 2015-10-21 Feryal Ozel , Dimitrios Psaltis

A novel machine learning approach is used to provide further insight into atomic nuclei and to detect orderly patterns amidst a vast data of large-scale calculations. The method utilizes a neural network that is trained on ab initio results…

Nuclear Theory · Physics 2022-03-14 O. M. Molchanov , K. D. Launey , A. Mercenne , G. H. Sargsyan , T. Dytrych , J. P. Draayer

In this paper we present a new fast and accurate method for Radial Basis Function (RBF) approximation, including interpolation as a special case, which enables us to effectively find the optimal value of the RBF shape parameter. In…

Numerical Analysis · Mathematics 2023-11-09 Roberto Cavoretto , Alessandra De Rossi , Sandro Lancellotti

The variation in mean-square nuclear charge radius of xenon isotopes was measured utilizing a new method based on extreme ultraviolet spectroscopy of highly charged Na-like ions. The isotope shift of the Na-like D1 (3s $^{2}$S$_{1/2}$ - 3p…

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

Shell quenching phenomena in nuclear charge radii are typically observed at the well-established neutron magic numbers. However, the recent discovery of potential new magic numbers at the neutron numbers $N = 32$ and $N = 34$ has sparked…

Nuclear Theory · Physics 2024-12-18 Dan Yang , Yu-Ting Rong , Rong An , Rui-Xiang Shi

We perform ab initio calculations of three-point mass differences in the odd- and even-mass $^{39-49}$Ca isotopes to probe nuclear superfluidity via empirical neutron pairing gaps. We also quantify the sensitivity of those gaps to the…

Nuclear Theory · Physics 2026-05-15 A. Scalesi , A. Ekström , C. Forssén , G. Hagen

Understanding how neurons coordinate their activity is a fundamental question in neuroscience, with implications for learning, memory, and neurological disorders. Calcium imaging has emerged as a powerful method to observe large-scale…

Methodology · Statistics 2026-03-03 Laura D'Angelo , Francesco Denti , Antonio Canale , Michele Guindani

We present the first laser spectroscopic measurement of the neutron-rich nucleus $^{68}$Ni at the \mbox{$N=40$} subshell closure and extract its nuclear charge radius. Since this is the only short-lived isotope for which the dipole…

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