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Semi-empirical mass formula of the atomic nucleus describe binding energies of the nuclei. In the simple form of this formula, there are five terms related to the properties of the nuclear structure. The coefficients in each terms can be…

Nuclear Theory · Physics 2016-12-12 Serkan Akkoyun , Tuncay Bayram

Finding the best model to describe the {\alpha}-decay process is an old and ongoing challenge in nuclear physics. The present work systematically studied {\alpha}-decay half-lives for the favored ground-state-to-ground-state transitions of…

Nuclear Theory · Physics 2017-07-17 O. N. Ghodsi , A. Daei-Ataollah

In the $\sigma$-$\omega$-$\rho$ model of the relativistic mean field theory with nonlinear $\sigma$-meson self-interaction, the effective nucleon mass $M^*$ is discussed with relation to the symmetry incompressibility $K_s$ of nuclear…

Nuclear Theory · Physics 2007-05-23 K. C. Chung , C. S. Wang , A. J. Santiago , J. W. Zhang

Machine learning methods and uncertainty quantification have been gaining interest throughout the last several years in low-energy nuclear physics. In particular, Gaussian processes and Bayesian Neural Networks have increasingly been…

Nuclear Theory · Physics 2022-07-27 A. E. Lovell , A. T. Mohan , T. M. Sprouse , M. R. Mumpower

We extensively develop a method of implementing mean-field calculations for deformed nuclei, using the Gaussian expansion method (GEM). This GEM algorithm has the following advantages: (i) it can efficiently describe the energy-dependent…

Nuclear Theory · Physics 2008-11-26 H. Nakada

The $\alpha$-decay half-lives of superheavy nuclei with $100 \leq Z \leq 120$ are comprehensively analyzed using the axially deformed relativistic mean field (RMF) formalism for the NL3$^*$ parameter set. We employ RMF binding energies to…

Nuclear Theory · Physics 2024-03-06 Nishu Jain , M. Bhuyan , Raj Kumar

The nuclear matrix element (NME) of the neutrinoless double-$\beta$ ($0\nu\beta\beta$) decay is an essential input for determining the neutrino effective mass, if the half-life of this decay is measured. The reliable calculation of this NME…

Nuclear Theory · Physics 2021-09-15 J. Terasaki , Y. Iwata

Mass is a fundamental property and an important fingerprint of atomic nucleus. It provides an extremely useful test ground for nuclear models and is crucial to understand energy generation in stars as well as the heavy elements synthesized…

Nuclear Theory · Physics 2018-07-17 Zhongming Niu , Haozhao Liang , Baohua Sun , Yifei Niu , Jianyou Guo , Jie Meng

The development of nucleus-nucleus interaction models is a rapidly developing area of heavy-ion physics. Recently, a new model DCM-QGSM-SMM, developed at JINR and oriented toward use within the NICA project at energies of several…

We discuss the least-square and linear-regression methods, which are relevant for a reliable determination of good nuclear-mass-model parameter sets and their errors. In this perspective, we define exact and inaccurate models and point out…

Nuclear Theory · Physics 2008-11-26 J. Toivanen , J. Dobaczewski , M. Kortelainen , K. Mizuyama

We address the question of the role of low-energy nuclear physics data in constraining neutron star global properties, e.g., masses, radii, angular momentum, and tidal deformability, in the absence of a phase transition in dense matter. To…

Nuclear Theory · Physics 2023-04-06 Brett V. Carlson , Mariana Dutra , Odilon Lourenço , Jérôme Margueron

Self-consistent mean field (MF) and beyond-mean-field (BMF) calculations of masses, separation energies and $2^{+}_{1}$ excitation energies of even-even nuclei where experimental data is available are presented. The functionals used are…

Nuclear Theory · Physics 2015-04-21 Tomás R. Rodríguez , Alexander Arzhanov , Gabriel Martínez-Pinedo

Potential energy surfaces of even-even superheavy nuclei are evaluated within the macroscopic-microscopic approximation. A very rapidly converging analytical Fourier-type shape parametrization is used to describe nuclear shapes throughout…

We describe the main features of our most recent Hartree-Fock-Bogoliubov nuclear mass models, based on 16-parameter generalized Skyrme forces. They have been fitted to the data of the 2012 Atomic Mass Evaluation, and favour a value of 30…

Nuclear Theory · Physics 2015-06-17 J. M. Pearson , N. Chamel , A. F. Fantina , S. Goriely

The model of binding alpha-particles in nuclei is suggested. It is shown good (with the accuracy of 1-2%) description of the experimental binding energies in light and medium nuclear systems. Our preliminary calculations show enhancement of…

Nuclear Theory · Physics 2017-08-23 K. A. Gridnev , S. Yu. Torilov , V. G. Kartavenko , W. Greiner , D. K. Gridnev , J. Hamilton

The results of extensive microscopic Relativistic Mean Field (RMF) calculations for the nuclei appearing in the alpha - decay chains of recently discovered superheavy elements with Z = 109 to 118 are presented and discussed. The calculated…

Nuclear Theory · Physics 2009-11-11 Y. K. Gambhir , A. Bhagwat , M. Gupta

Nuclear mass contains a wealth of nuclear structure information, and has been widely employed to extract the nuclear effective interactions. The known nuclear mass is usually extracted from the experimental atomic mass by subtracting the…

Nuclear Theory · Physics 2016-05-10 Jing Tang , Zhong-Ming Niu , Jian-You Guo

In the study of $\alpha$ decay within the superheavy nuclear region ($Z \geq 90$ and $N \geq 140$), the $\alpha$-particle preformation probability $P_{\alpha}$ serves as a crucial physical quantity linking nuclear structure to decay…

Nuclear Theory · Physics 2026-05-12 Xiao-Yan Zhu , Hao Zhang , Wei Gao , Wen-Jing Xing , Wen-Bin Lin , Xiao-Hua Li

We revisit the "interpolating formula" proposed in our previous publication. It allows one to calculate the neutrinoless double beta decay ($0\nu\beta\beta$-decay) half-life for arbitrary neutrino mass without involvement of the complicated…

High Energy Physics - Phenomenology · Physics 2018-07-11 A. Babič , S. Kovalenko , M. I. Krivoruchenko , F. Šimkovic

Relativistic energy density functionals (REDF) provide a complete and accurate, global description of nuclear structure phenomena. A modern semi-empirical functional, adjusted to the nuclear matter equation of state and to empirical masses…

Nuclear Theory · Physics 2015-06-05 V. Prassa , T. Niksic , G. A. Lalazissis , D. Vretenar
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