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A semi-phenomenological model of a many-particle system of 4He atoms is proposed, in which a helium atom is considered as a complex consisting of a nucleus and a bound pair of electrons in the singlet state. At zero temperature, there are…

Statistical Mechanics · Physics 2021-09-15 Yu. M. Poluektov

Energy levels of the $1sns$ and $1snp$ states of ions along the helium isoelectronic sequence from carbon to uranium are calculated, with $n=3$-$7$. The computation is performed within the relativistic configuration-interaction method,…

Atomic Physics · Physics 2019-08-30 V. A. Yerokhin , A. Surzhykov

First results of an analysis to determine contribution of decays of the unstable $^{8}$Be and $^{9}$B nuclei and the Hoyle 3$\alpha$-state to dissociation of $^{14}$N $\to$ 3He (+H) are presented. As the research material, layers of nuclear…

Excited states of the nucleon are described as RPA configurations on a mean--field ground state taken from the MIT bag model. A residual interaction of a structure as in the Nambu--Jona--Lasinio model is used. The particle-hole states are…

Nuclear Theory · Physics 2009-10-28 J. Geiss , S. Hardt , H. Lenske , U. Mosel

The ground and excited states of the 3H and 4He nuclei are studied in the framework of group-theoretical methods. Basis functions of the unitary scheme model corresponding to even numbers of quanta of excitation in the range from zero to…

Nuclear Theory · Physics 2018-02-21 S. B. Doma , H. S. El-Gendy

Potential Energy Surface for the ($\mathrm{\bar{p}} - \mathrm{He}^{2+} - \mathrm{He}$) system is calculated in the framework of the restricted (singlet spin state) Hartree-Fock method with subsequent account of the electronic correlations…

Nuclear Theory · Physics 2017-06-29 S. N. Yudin , I. V. Bodrenko , G. Ya. Korenman

The invariant mass method is used to identify the $^8$Be and $^9$B nuclei and Hoyle state formed in dissociation of relativistic nuclei in a nuclear track emulsion. It is shown that to identify these extremely short-lived states in the case…

We consider nuclei composed of nucleons which interact via two-body potentials decreasing exponentially at infinity. Protons and neutrons are not distinguished in order to simplify notations. The basic result is the rigorous mathematical…

Nuclear Theory · Physics 2019-11-21 Franco Capuzzi

Background: In recent years properties of light rare isotopes have been measured with high accuracy. At the same time, the theoretical description of light nuclei has made enormous progress, and properties of, e.g., the Helium isotopes can…

Nuclear Theory · Physics 2014-11-05 C. Ji , Ch. Elster , D. R. Phillips

Highly precise variational calculations of non-relativistic energies of the (2p^2)^3P^e state of Helium atom are presented.We get an upper bound energy E=-0.71050015565678 a.u.,the lowest yet obtained.

Atomic Physics · Physics 2009-11-10 Tapan K. Mukherjee , Prasanta K. Mukherjee

Resonances and continuum states of He isotopes are investigated using the cluster orbital shell model (COSM) with the complex scaling method (CSM). We discuss the following subjects: 1) Spectroscopic factors of the unbound nucleus 7He into…

Nuclear Theory · Physics 2011-09-30 Takayuki Myo , Kiyoshi Kato

The structure of the unbound nucleus $^{13}$Be is important to understanding the Borromean, two-neutron halo nucleus $^{14}$Be. The experimental studies conducted over the last four decades are reviewed in the context of the beryllium chain…

Nuclear Experiment · Physics 2023-09-20 K. L. Jones , J. Kovoor , R. Kanungo

Two-neutron densities obtained from microscopic wave functions of $^6$He and $^8$He are investigated to reveal di-neutron correlations. In particular, the comparison of the two-neutron density with the product of one-neutron densities is…

Nuclear Theory · Physics 2015-05-28 Yoshiko Kanada-En'yo , Hans Feldmeier , Tadahiro Suhara

Decay mode of the $2_1^+$ resonant state of $^6$He populated by the $^6$He breakup reaction by $^{12}$C at 240 MeV/nucleon is investigated. The continuum-discretized coupled-channels method is adopted to describe the formation of the…

Nuclear Theory · Physics 2015-06-16 Yuma Kikuchi , Takuma Matsumoto , Kosho Minomo , Kazuyuki Ogata

We studied the role of the tensor interaction in He isotopes systematically on the basis of the tensor-optimized shell model (TOSM). We use a bare nucleon-nucleon interaction AV8 obtained from nucleon-nucleon scattering data. The…

Nuclear Theory · Physics 2015-05-30 Takayuki Myo , Atsushi Umeya , Hiroshi Toki , Kiyomi Ikeda

The differential cross sections of the $^{12}$C($^3$He,t)$^{12}$N reaction leading to formation of the 1$^+$ (ground state), 2$^+$(0.96 MeV), 2$^{-}$(1.19 MeV), and 1$^{-}$(1.80 MeV) states of $^{12}$N are measured at $E$($^3$He)=40 MeV.…

Bound and resonance states of helium atom have been investigated inside a quantum dot by using explicitly correlated Hylleraas type basis set within the framework of stabilization method. To be specific, precise energy eigenvalues of bound…

Atomic Physics · Physics 2016-08-03 Jayanta K. Saha , S. Bhattacharyya , T. K. Mukherjee

The structure of the excited $2^{3}$S and $2^{3}$P triplet states of $^{3}$He and $^{4}$He in an applied magnetic field B is studied using different approximations of the atomic Hamiltonian. All optical transitions (line positions and…

Atomic Physics · Physics 2009-11-07 E. Courtade , F. Marion , P. -J. Nacher , G. Tastevin , K. Kiersnowski , T. Dohnalik

The results of investigations of the relativistic $^9$Be nucleus fragmentation in emulsion which entails the production of two He fragments of an energy of 1.2~A~GeV are presented. The results of the angular measurements of the…

We find the threshold structure of the two- and three-nucleon systems, with the deuteron and 3H/3He as the only bound nuclei, sufficient to predict a pair of four-nucleon states: a deeply bound state which is identified with the helium-4…

Nuclear Theory · Physics 2018-09-26 Johannes Kirscher , Harald W. Grießhammer