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A technique for describing scattering states within the nuclear shell model is proposed. This technique is applied to scattering of nucleons by $\alpha$ particles based on ab initio No-Core Shell Model calculations of $^5$He and $^5$Li…

Nuclear Theory · Physics 2016-04-19 I. A. Mazur , A. M. Shirokov , A. I. Mazur , J. P. Vary

The best examples of halo nuclei, exotic systems with a diffuse nuclear cloud surrounding a tightly-bound core, are found in the light, neutron-rich region, where the halo neutrons experience only weak binding and a weak, or no, potential…

We study the correlations between two neutrons in borromian nuclei $^{11}$Li and $^6$He by using a three-body model with a density-dependent contact two-body interaction. It is shown that the two neutrons show a compact bound feature at the…

Nuclear Theory · Physics 2009-06-24 H. Sagawa K. Hagino

We calculate the recombination spectra of the He-like ions He~I, C~V, N~VI, O~VII, Ne~IX, Mg~XI, Si~XIII, S~XV, Ar~XVII, Ca~XIX, and Fe~XXV. We include the following physical processes: radiative recombination, dielectronic recombination,…

Astrophysics · Physics 2009-10-31 M. A. Bautista , T. R. Kallman

Structure with the lowest energy observed in the $^{10}$He spectrum populated in the proton knockout reaction with $^{11}$Li beam has a peak at $1.2-1.5$ MeV. This peak is usually interpreted as a resonant $0^+$ ground state of $^{10}$He.…

Nuclear Theory · Physics 2015-06-19 P. G. Sharov , I. A. Egorova , L. V. Grigorenko

Four-body distorted wave theory appropriate for nucleon-nucleus reactions leading to 3-body continuum excitations of two-neutron Borromean halo nuclei is developed. The peculiarities of the halo bound state and 3-body continuum are fully…

Nuclear Theory · Physics 2016-09-08 S. N. Ershov , T. Rogde , B. V. Danilin , J. S. Vaagen , I. J. Thompson , F. A. Gareev

The nonrelativistic ionization energy levels of a helium atom are calculated for $S$, $P$, $D$ and $F$ states. The calculations are based on the variational method of "exponential" expansion. The convergence of the calculated energy levels…

Atomic Physics · Physics 2018-10-29 D. T. Aznabaev , A. K. Bekbaev , Vladimir I. Korobov

The structure of $^8$He is investigated within a three-cluster microscopic model. The three-cluster configuration $\alpha+^2n+^2n$ was used to describe the properties of the ground state of the nucleus. The obtained results evidently…

Nuclear Theory · Physics 2009-11-06 A. V. Nesterov , V. S. Vasilevsky , O. F. Chernov

We study the spatial structure of four valence neutrons in the ground state of $^8$He and $^{18}$C nuclei using a core+4$n$ model. For this purpose, we employ a density-dependent contact interaction among the valence neutrons, and solve the…

Nuclear Theory · Physics 2008-11-26 K. Hagino , N. Takahashi , H. Sagawa

We apply a particle-particle RPA model to study the properties of the two-neutron valence wave function in nuclei 14-C, 12-Be, 11-Li and 14-Be. The RPA model takes account of two body correlations in the core so that it gives a better…

Nuclear Theory · Physics 2009-11-07 J. C. Pacheco , N. Vinh Mau

We present a simple interpolation formula using dimensional limits $D=1$ and $D=\infty$ to obtain the $D=3$ ground-state energies of atoms and molecules. For atoms, these limits are linked by first-order perturbation terms of…

Quantum Physics · Physics 2020-08-28 Kumar J. B. Ghosh , Sabre Kais , Dudley R. Herschbach

We discuss the correlation of the spin-singlet two-neutron pair, the dineutron correlation, in the ground and excited $0^+$ states of $^8$He by using a method to describe the dineutron correlation in neutron-rich nuclei, the dineutron…

Nuclear Theory · Physics 2015-06-16 Fumiharu Kobayashi , Yoshiko Kanada-En'yo

Recently reported computations have been extended to give ten more decimals of accuracy in the ground state energy of the Schrodinger equation for the idealized Helium atom. With the F basis - Hylleraas coordinates with negative powers and…

Mathematical Physics · Physics 2007-05-23 Charles Schwartz

Ground state properties of carbon isotopes, including root-mean-square radii, neutron separation energies, single particle spectra, and shapes are systematically studied with the deformed relativistic Hartree-Bogoliubov theory in continuum.…

Nuclear Theory · Physics 2021-10-15 Xiang-Xiang Sun , Jie Zhao , Shan-Gui Zhou

Discharge and electron-impact excitation lead to the production of metastable helium atoms in two metastable states, 2$^1$S$_0$ and 2$^3$S$_1$. However, many applications require pure beams of one of these species or at least a detailed…

We study the nuclear ground-state properties by using the unitary-model-operator approach (UMOA). Recently, the particle-basis formalism has been introduced in the UMOA and enables us to employ the charge-dependent nucleon-nucleon…

Nuclear Theory · Physics 2015-04-21 Takayuki Miyagi , Takashi Abe , Ryoji Okamoto , Takaharu Otsuka

This work treats few-body systems consisting of neutrons interacting with a $^{4}{\mathrm{He}}$ nucleus. The adiabatic hyperspherical representation is utilized to solve the $N$-body Schr$\ddot{\mathrm{o}}$dinger equation for the three- and…

Nuclear Theory · Physics 2025-11-25 Michael D. Higgins , Chris H. Greene

Ground state energies for confined hydrogen (H) and helium (He) atoms, inside a penetrable/impenetrable compartment have been calculated using Diffusion Monte Carlo (DMC) method. Specifically, we have investigated spherical and ellipsoidal…

Other Condensed Matter · Physics 2009-11-13 M. Neek-Amal , G. Tayebirad , M. Molayem , M. E. Foulaadvand , L. Esmaeili Sereshki , A. Namiranian

The $m \alpha^6$ correction to energy is expressed in terms of an effective Hamiltonian $H^{(6)}$ for an arbitrary state of helium. Numerical calculations are performed for $n=2$ levels, and the previous result for the $2^3P$ centroid is…

Atomic Physics · Physics 2009-11-13 Krzysztof Pachucki