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Nuclear masses of exotic nuclei are important for both nuclear physics and astrophysics. The deformed relativistic Hartree-Bogoliubov theory in continuum (DRHBc) is capable of providing proper descriptions for exotic nuclei by…

Nuclear Theory · Physics 2025-12-08 C. Pan , Y. C. Yang , X. F. Jiang , X. H. Wu

The modeling of nuclear reactions and radioactive decays in astrophysical or earth-based conditions requires detailed knowledge of the masses of essentially all nuclei. Microscopic mass models based on nuclear energy density functionals…

Nuclear Theory · Physics 2022-01-05 Guillaume Scamps , Stephane Goriely , Erik Olsen , Michael Bender , Wouter Ryssens

In the presented review we discuss the problem of extraction the parameters of nuclear matter and charge distribution in stable and unstable isotopes. A substantial amount of information on the nuclear radii and other distribution…

Nuclear Theory · Physics 2015-03-18 G. D. Alkhazov , I. S. Novikov , Yu. Shabelski

We studied the charge radius, rms radius and neutron skin thickness $\Delta r_{np}$ in even-even isotopes of Si, S, Ar and Ca and isotones of N =20, 28, 50 and 82. The $\Delta r_{np}$ in doubly-magic $^{48}$Ca, $^{68}$Ni, $^{120,132}$Sn and…

Nuclear Theory · Physics 2020-07-15 Virender Thakur , Shashi K Dhiman

We studied the charge radius ($r_{c}$), neutron radius ($r_n$), and neutron skin-thickness ($\Delta r=r_n-r_p$) over a chain of isotopes from C to Zr with the stable region to the neutron drip line. Theoretical calculations are done with…

Nuclear Theory · Physics 2020-11-03 Usuf Rahaman , M. Ikram , M. Imran , Anisul Ain Usmani

Understanding the emergence of complex structures of nuclei from chiral effective field theory (EFT) is a central challenge. The large number of low-energy couplings (LECs) in the EFT expansion and the significant cost of $\textit{ab…

Nuclear Theory · Physics 2025-10-10 Margarida Companys Franzke , Alexander Tichai , Kai Hebeler , Achim Schwenk

Charge radii of mirror nuclei are calculated by implementing pairing effects with the Hartree-Fock Bogoliubov approximation. Correlations between the difference of charge radii ($\Delta R_{ch}$) and slope of nuclear symmetry energy (L) are…

Nuclear Theory · Physics 2024-01-30 Sakshi Gautam , Anagh Venneti , Sarmistha Banik , Bijay Agrawal

The nuclear charge radius is a fundamental observable that encodes key aspects of nuclear structure, deformation, and pairing. Isotonic (constant neutron number) systematics in the deformed rare-earth region have long suggested that odd-$Z$…

Collinear laser spectroscopy is performed on the nickel isotopes $^{58-68,70}$Ni, using a time-resolved photon counting system. From the measured isotope shifts, nuclear charge radii $R_c$ are extracted and compared to theoretical results.…

A study of the charge and matter densities and the corresponding rms radii for even-even isotopes of Ni, Kr, and Sn has been performed in the framework of deformed self-consistent mean field Skyrme HF+BCS method. The resulting charge radii…

Nuclear Theory · Physics 2008-11-26 P. Sarriguren , M. K. Gaidarov , E. Moya de Guerra , A. N. Antonov

The phenomenon of reflection-asymmetric nuclear shapes is relevant to nuclear stability, nuclear spectroscopy, nuclear decays and fission, and the search for new physics beyond the standard model. Global surveys of ground-state octupole…

Ground state properties of proton-rich odd-$Z$ nuclei in the region $55\le Z \le 73$ are studied in the relativistic mean field (RMF) theory. The RMF equations are solved by using the expansion method in the Harmonic-Oscillator basis. In…

Nuclear Theory · Physics 2009-11-10 L. S. Geng , H. Toki , J. Meng

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

Radii of nuclear charge distributions carry information about the strong and electromagnetic forces acting inside the atomic nucleus. While the global behavior of nuclear charge radii is governed by the bulk properties of nuclear matter,…

Kernel methods, particularly kernel ridge regression (KRR), are time-proven, powerful nonparametric regression techniques known for their rich capacity, analytical simplicity, and computational tractability. The analysis of their predictive…

Statistics Theory · Mathematics 2025-09-23 Xin Bing , Xin He , Chao Wang

A multi-task learning (MTL) framework, called gradient kernel ridge regression, for nuclear masses and separation energies is developed by introducing gradient kernel functions to the kernel ridge regression (KRR) approach. By taking the…

Nuclear Theory · Physics 2022-08-31 X. H. Wu , Y. Y. Lu , P. W. Zhao

Charge radii are one of the most fundamental properties of atomic nuclei characterizing their charge distributions. Though the general trend as a function of the mass number is well described by the $A^{1/3}$ rule, some fine structures,…

Nuclear Theory · Physics 2020-08-12 Rong An , Li-Sheng Geng , Shi-Sheng Zhang

We revisit the studies of the isotopic shift in the charge radii of {\it even-even} isotopes of Sn and Pb nuclei at $N$ = 82, and 126, respectively, within the relativistic mean-field and Relativistic-Hartree-Bogoliubov approach. The shell…

Nuclear Theory · Physics 2021-07-07 M. Bhuyan , B. Maheshwari , H. A. Kassim , N. Yusof , S. K. Patra , B. V. Carlson , P. D. Stevenson