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Despite great theoretical efforts the NN interaction can only be determined with a finite precision, implying an error upper bound for nuclear masses. We analyze for the first time the problem of estimating the systematic errors related to…

Nuclear Theory · Physics 2012-03-01 R. Navarro Perez , J. E. Amaro , E. Ruiz Arriola

The energy and decay width of the pi-K atom are evaluated in the framework of the quasipotential-constraint theory approach. The main electromagnetic and isospin symmetry breaking corrections to the lowest-order formulas for the energy…

High Energy Physics - Phenomenology · Physics 2008-11-26 H. Jallouli , H. Sazdjian

Shell corrections to the nuclear binding energy as a measure of shell effects in superheavy nuclei are studied within the self-consistent Skyrme-Hartree-Fock and Relativistic Mean-Field theories. Due to the presence of low-lying proton…

Nuclear Theory · Physics 2009-10-31 A. T. Kruppa , M. Bender , W. Nazarewicz , P. -G. Reinhard , T. Vertse , S. Cwiok

Isoscalar and isovector particle densities are derived analytically by using the approximation of a sharp edged nucleus within the local energy density approach with the proton-neutron asymmetry and spin-orbit effects. Equations for the…

Nuclear Theory · Physics 2009-05-29 A. G. Magner , A. I. Sanzhur , A. M. Gzhebinsky

The eikonal, partial wave (PW) Lippmann-Schwinger, and three-dimensional Lippmann- Schwinger (LS3D) methods are compared for nuclear reactions that are relevant for space radiation applications. Numerical convergence of the eikonal method…

Nuclear Theory · Physics 2015-06-22 Charles M. Werneth , Khin M. Maung , William P. Ford , John W. Norbury , Michael D. Vera

Nucleon-nucleon systems are studied with lattice quantum chromodynamics at a pion mass of $m_\pi\sim 450~{\rm MeV}$ in three spatial volumes using $n_f=2+1$ flavors of light quarks. At the quark masses employed in this work, the deuteron…

High Energy Physics - Lattice · Physics 2020-07-31 Kostas Orginos , Assumpta Parreno , Martin J. Savage , Silas R. Beane , Emmanuel Chang , William Detmold

The microscopic center-of-mass (c.m.) correction energies for nuclei ranging from Oxygen to Calcium are systematically calculated by both spherical and axially deformed relativistic mean-field (RMF) models with the effective interaction…

Nuclear Theory · Physics 2010-01-26 Zhao Peng-Wei , Sun Bao-Yuan , Meng Jie

We propose a semi-empirical nuclear mass formula based on the macroscopic-microscopic method in which the isospin and mass dependence of model parameters are investigated with the Skyrme energy density functional. The number of model…

Nuclear Theory · Physics 2010-05-12 Ning Wang , Min Liu , Xizhen Wu

$K^-$ optical potentials relevant to calculations of $K^-$ nuclear quasi-bound states were developed within several chiral meson-baryon coupled-channel interaction models. The applied models yield quite different $K^-$ binding energies and…

Nuclear Theory · Physics 2017-07-26 J. Hrtánková , J. Mareš

Non-relativistic Faddeev and Faddeev-Yakubovsky calculations were made for K^-pp, K^- ppn, K^-K^-p and K^- K^-pp kaonic nuclear clusters, where the quasi bound states were treated as bound states by employing real separable potential models…

Nuclear Theory · Physics 2014-04-18 Shuji Maeda , Yoshinori Akaishi , Toshimitsu Yamazaki

$\phi$-meson--nucleus bound state energies and absorption widths are calculated for seven selected nuclei by solving the Klein-Gordon equation with complex optical potentials. Essential input for the calculations, namely the medium-modified…

Nuclear Theory · Physics 2017-09-06 J. J. Cobos-Martínez , K. Tsushima , G. Krein , A. W. Thomas

A one-dimensional harmonic oscillator in a box is used to introduce the oblique-basis concept. The method is extended to the nuclear shell model by combining traditional spherical states, which yield a diagonal representation of the usual…

Nuclear Theory · Physics 2009-11-07 V. G. Gueorguiev , J. P. Draayer

Taking into account nucleon-nucleon gravitational interaction, higher-order terms of symmetry energy, pairing interaction, and neural network corrections, a new BW4 mass model has been developed, which more accurately reflects the…

Nuclear Theory · Physics 2024-09-23 Jin Li , Hang Yang

In this paper, we shall maximise the binding energy per nucleon function in the semi-empirical mass formula of the liquid drop model of the atomic nuclei to analytically prove that the mean binding energy per nucleon curve has local extrema…

Nuclear Theory · Physics 2018-03-12 N R Sree Harsha

We formalized the nuclear mass problem in the inverse problem framework. This approach allows us to infer the underlying model parameters from experimental observation, rather than to predict the observations from the model parameters. The…

Nuclear Theory · Physics 2017-08-29 S. Cht. Mavrodiev , M. A. Deliyergiyev

Out of self-consistent semi-classical calculations performed within the so-called Extended Thomas-Fermi approach for 212 nuclei at all even angular momentum values I ranging between 0 and 80 \hbar and using the Skyrme SkM* effective force,…

Nuclear Theory · Physics 2009-10-31 J. Piperova , D. Samsoen , P. Quentin , K. Bencheikh , J. Bartel , J. Meyer

New liquid drop model with the isospin-square dependence of the volume and surface energy terms is applied to reproduce experimentally known masses of nuclei with number of protons and neutrons larger or equal to twenty. The ground-state…

Nuclear Theory · Physics 2025-04-24 Krzysztof Pomorski , Zhigang Xiao

Deeply bound KNN, KNNN and KNNNN states are discussed. The effective force exerted by the K meson on the nucleons is calculated with static nucleons. Next the binding energies are obtained by solving the Schrodinger equation or by…

Nuclear Theory · Physics 2009-01-21 S. Wycech , A. M. Green

The information-geometric statistical analysis on the stability of model reductions, reported previously [Imbri\v{s}ak and Nomura, Phys. Rev. C 107, 034304 (2023)] with a focus on the manifold boundary approximation method in the…

Nuclear Theory · Physics 2023-08-31 M. Imbrišak , K. Nomura

A new method is presented for calculation of the shell correction with the inclusion of the continuum part of the spectrum. The smoothing function used has a finite energy range in contrast to the Gaussian shape of the Strutinski method.…

Nuclear Theory · Physics 2014-11-20 P. Salamon , A. T. Kruppa , T. Vertse