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Self-consistent calculations within the relativistic mean field theory (RMFT) were performed for 150 spherical even-even nuclei. The macroscopic part of the binding energy was evaluated by subtracting the Strutinsky shell corrections from…

Nuclear Theory · Physics 2009-11-07 Bozena Nerlo-Pomorska , Katarzyna Mazurek

The J$^{\pi}$=0$^+$ ground state of a drop of 8 neutrons and the lowest 1/2$^-$ and 3/2$^-$ states of 7-neutron drops, all in an external well, are computed accurately with variational and Green's function Monte Carlo methods for a…

We investigate the binding energy parameters that should be used in modeling electron and neutrino scattering from nucleons bound in a nucleus within the framework of the impulse approximation. We discuss the relation between binding…

Nuclear Theory · Physics 2019-05-31 Arie Bodek , Tejin Cai

New formulas to calculate the nuclear charge radii and the nuclear binding energies have been derived in the framework of an alpha-cluster model. The particular features of the model are two assumptions that the proton-neutron pair…

Nuclear Theory · Physics 2007-05-23 G. K. Nie

This paper is devoted to the numerical study of droplet impact on solid substrates in presence of surfactants. We formulate the problem in an energetically variational framework and introduce an incompressible Cahn-Hilliard-Navier-Stokes…

Fluid Dynamics · Physics 2022-12-20 Chenxi Wang , Ming-Chih Lai , Zhen Zhang

Here we derive and experimentally test a free energy functional that captures the adhesion of DNA-coated emulsion droplets. Generalizing previous approaches, the theory combines important energetic and entropic effects of microscopic DNA…

Soft Condensed Matter · Physics 2024-06-14 Nicolas Judd , Angus McMullen , Sascha Hilgenfeldt , Jasna Brujic

We consider the liquid drop model with a positive background density in the thermodynamic limit. We prove a two-term asymptotics for the ground state energy per unit volume in the dilute limit. Our proof justifies the expectation that…

Mathematical Physics · Physics 2026-02-16 Rupert L. Frank , Mathieu Lewin , Robert Seiringer

We discuss the local density approximation approach to calculating the ground state energy of a one-dimensional Fermi gas containing a single impurity, and compare the results with exact numerical values that we have for up to 11 particles…

Quantum Gases · Physics 2016-05-27 N. J. S. Loft , L. B. Kristensen , A. E. Thomsen , N. T. Zinner

In $\beta$-decay studies the determination of the decay probability to the ground state of the daughter nucleus often suffers from large systematic errors. The difficulty of the measurement is related to the absence of associated delayed…

The alpha decay half-lives of the recently produced isotopes of the 112, 114, 116 and 118 nuclei and decay products have been calculated in the quasi-molecular shape path using the experimental Qalpha value and a Generalized Liquid Drop…

Nuclear Theory · Physics 2008-11-26 Hongfei Zhang , Wei Zuo , Junqing Li , G. Royer

The $\alpha$-decay half-lives of 204 superheavy nuclei covering the range $114 \leq Z \leq 126$ have been investigated using the relativistic mean-field model (RMF) for NL3$^*$ parameter set. The ground state bulk properties such as binding…

Nuclear Theory · Physics 2022-04-26 Nishu Jain , Raj Kumar , M. Bhuyan

The ground-state properties of 64Ge, 68Se, 72Kr and 76Sr (N=Z) nuclei have been investigated by using Hartree-Fock-Bogolibov (HFB)method with Sly4 Skyrme forces and Relativistic Mean Field (RMF) model with NL3 and recently proposed DEFNE…

Nuclear Theory · Physics 2017-06-06 Serkan Akkoyun , Tuncay Bayram , Şevki Şentürk

The influence of $\Delta$ isobar components on the ground state properties of nuclear systems is investigated for nuclear matter as well as finite nuclei. Many-body wave functions, including isobar configurations, and binding energies are…

Nuclear Theory · Physics 2009-11-07 T. Frick , S. Kaiser , H. Müther , A. Polls , D. R. Entem , R. Machleidt

In this work, we calculate the ground state energy of pure neutron matter using the renormalization group based low-momentum effective interaction $V_{\text{low-}k}$ in Bogoliubov many-body perturbation theory (BMBPT), which is a…

Nuclear Theory · Physics 2023-02-17 Viswanathan Palaniappan , S. Ramanan , Michael Urban

Inspired by responses to the work (arXiv:1310.6514), we solved the one-dimensional, nonlinear Fourier initial and boundary condition problem using the finite element method. Examination of all possible parameters reveals the following: 1.…

Chemical Physics · Physics 2015-01-16 Xi Zhang , Yongli Huang , Zengsheng Ma , Chang Q Sun

We present calculations of ground state properties of spherical, doubly closed-shell nuclei from $^{16}$O to $^{208}$Pb employing the techniques of many-body perturbation theory using a separable density dependent monopole interaction. The…

Nuclear Theory · Physics 2009-11-06 P. Stevenson , M. R. Strayer , J. Rikovska Stone

We study microscopically the ground state properties of 16O and 40Ca nuclei within correlated basis function theory. A truncated version of the realistic Urbana v14 (U14) potential, without momentum dependent terms, is adopted with state…

Nuclear Theory · Physics 2007-05-23 A. Fabrocini

The coefficients of different mass formulae derived from the liquid drop model and including or not the curvature energy, the diffuseness correction to the Coulomb energy, the charge exchange correction term, different forms of the Wigner…

Nuclear Experiment · Physics 2008-12-18 G. Royer

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

Weakly conducting dielectric liquid drops suspended in another dielectric liquid and subject to an applied uniform electric field exhibit a wide range of dynamical behaviors contingent on field strength and material properties. These…

Fluid Dynamics · Physics 2017-10-11 Debasish Das , David Saintillan