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Related papers: Structure of $^{14}$N nucleus within a five-cluste…

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Within a five-particle model (three $\alpha$-particles plus two nucleons), the structure functions of mirror nuclei $^{14}$C and $^{14}$O are studied. Using the variational approach with Gaussian bases, the energies and wave functions are…

Nuclear Theory · Physics 2016-11-24 B. E. Grinyuk , D. V. Piatnytskyi

The structure of mirror $^{14}$C and $^{14}$O nuclei has been studied in the framework of the five-particle model (three $\alpha$-particles and two nucleons). Interaction potentials are proposed, which allowed the energy and radius of…

Nuclear Theory · Physics 2017-04-18 B. E. Grinyuk , D. V. Piatnytskyi

We study the ground and the first excited $0^{+}$ states of two mirror nuclei $^{14}$C and $^{14}$O within a five-cluster model (three alpha-particles and two extra nucleons) with the use of high accuracy variational approach with Gaussian…

Nuclear Theory · Physics 2022-12-20 B. E. Grinyuk , D. V. Piatnytskyi , V. S. Vasilevsky

A five-body calculation of $^{12}$C+$n$+$n$+$p$+$p$ is performed to take a step towards solving an outstanding problem in nuclear theory: The simultaneous and accurate description of the ground and first excited 0$^+$ states of $^{16}$O.…

Nuclear Theory · Physics 2015-06-18 W. Horiuchi , Y. Suzuki

We explore the structure of the ground state of $^{20}$Ne by investigating various density profiles. Four candidates for the ground state configurations, (a) $j$-$j$ coupling and (b) SU(3) shell model and (c) $5\alpha$ and (d) $^{16}{\rm…

Nuclear Theory · Physics 2023-08-02 Y. Yamaguchi , W. Horiuchi , N. Itagaki

The results of investigations of the dissociation of a $^{14}$N nucleus of momentum 2.86~A~GeV/c in photo-emulsion are presented. The main characteristics of these reactions, that is the cross sections for various fragmentation channels,…

A new trial wave function is proposed for nuclear physics, in which an exact solution to the long-standing center-of-mass problem is given. In the new approach, the widths of the single-nucleon Gaussian wave packets and the widths of the…

Nuclear Theory · Physics 2018-06-06 Bo Zhou

The spatial dispersion of the single-nucleon wave functions is analyzed using the self-consistent mean-field framework based on nuclear energy density functionals, and with the harmonic oscillator approximation for the nuclear potential. It…

Nuclear Theory · Physics 2018-06-20 J. -P. Ebran , E. Khan , R. -D Lasseri , D. Vretenar

The nodal structure of the density distributions of the single-particle states occupied in rod-shaped, hyper- and megadeformed structures of non-rotating and rotating $N\sim Z$ nuclei has been investigated in detail. The single-particle…

Nuclear Theory · Physics 2018-04-17 A. V. Afanasjev , H. Abusara

A role of different components in the wave function of the weakly bound light nuclei states was studied within the framework of the cluster model, taking into account of orbitals "polarization". It was shown that a limited number of…

Nuclear Theory · Physics 2015-06-26 O. L. Savchenko , A. I. Steshenko

The nucleonic localization function has been used for a decade to study the formation of alpha-particles in nuclei, by providing a measure of having nucleons of a given spin in a single place. However, differences in interpretation remain,…

Nuclear Theory · Physics 2023-01-11 E. Khan , L. Heitz , F. Mercier , J. -P. Ebran

To test a multicluster approach for halo nuclei, we give a unified description for the ground states of $^6$He and $^8$He in a model comprising an $\alpha$ cluster and single-neutron clusters. The intercluster wave function is taken a…

Nuclear Theory · Physics 2009-10-22 K. Varga , Y. Suzuki , R. G. Lovas

The neutron halo structure of $^{6}$He and of $^{8}$He is studied in a microscopic three-body and five-body model, respectively. Various cluster arrangements are included to embody a variety of correlations between the clusters. The…

Nuclear Theory · Physics 2008-11-26 K. Varga , Y. Suzuki , Y. Ohbayasi

We continue the investigations of the $^{16}$O ground state using the coupled-cluster expansion [$\exp({\bf S})$] method with realistic nuclear interaction. In this stage of the project, we take into account the three nucleon interaction,…

Nuclear Theory · Physics 2009-10-31 Bogdan Mihaila , Jochen H. Heisenberg

The nuclei $^4$He, $^8$Be, $^{12}$C and $^{16}$O have been studied starting from nucleon-nucleon interactions of $v_4$ type. The wave function is built as the product of three terms, a Jastrow correlation factor, a linear correlation factor…

Nuclear Theory · Physics 2007-05-23 E Buendia , F J Galvez , J Praena , A Sarsa

The structure of the nucleus $^{84}$Mo has been studied using the projected generator coordinate method (PGCM) with the Gogny D1S interaction. The calculations incorporate a mixing of particle-number and angular-momentum projected intrinsic…

Nuclear Theory · Physics 2024-11-14 Tomás R. Rodríguez

I begin with a general discussion about importance of constructing a picture of the nucleon in terms of QCD degrees of freedom, emphasizing the role of spin structure functions. I then give a short overview on the theoretical and…

High Energy Physics - Phenomenology · Physics 2007-05-23 Xiangdong Ji

We investigate properties of bound and resonance states in the $_{\Lambda}^{9}$Be nucleus. To reveal the nature of these states, we use a three-cluster $2\alpha+\Lambda$ microscopic model. The model incorporates Gaussian and oscillator…

Nuclear Theory · Physics 2021-04-22 Yu. A. Lashko , A. V. Nesterov , V. S. Vasilevsky

We employ the constrained density functional theory to investigate cluster phenomena for the $^{12}$C nucleus. The proton and neutron densities are generated from the placement of three $^{4}$He nuclei (alpha particles) geometrically. These…

Nuclear Theory · Physics 2023-06-28 A. S. Umar , K. Godbey , C. Simenel

We apply a three-body model consisting of two valence neutrons and the core nucleus $^{14}$C in order to investigate the ground state properties and the electronic quadrupole transition of the $^{16}$C nucleus. The discretized continuum…

Nuclear Theory · Physics 2009-11-11 K. Hagino , H. Sagawa
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