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The one-dimensional harmonic oscillator in a box problem is used to introduce the concept of a mixed-mode shell-model scheme. The method combines low-lying ``pure mode'' states of a system to achieve a better description in situations where…

Nuclear Theory · Physics 2007-05-23 V. G. Gueorguiev , J. P. Draayer

The structure of $^{22}$C plays a vital role in the new physics at subshell closure of $N=16$ in the neutron-rich region. We study the two-neutron correlations in the ground state of the weakly-bound Borromean nucleus $^{22}$C sitting at…

Nuclear Theory · Physics 2019-06-20 Jagjit Singh , W. Horiuchi , L. Fortunato , A. Vitturi

We perform a quantitative study of the microscopic effective shell-model interactions in the valence sd shell, obtained from modern nucleon-nucleon potentials, chiral N3LO, JISP16 and Daejeon16, using No-Core Shell-Model wave functions and…

The low-energy theory for single-wall carbon nanotubes including Coulomb interactions is derived and analyzed. It describes two fermion chains without interchain hopping but coupled in a specific way by the interaction. The strong-coupling…

Condensed Matter · Physics 2009-10-30 Reinhold Egger , Alexander O. Gogolin

We have performed shell model calculations for neutron deficient even $^{102-108}$Sn and odd $^{103-107}$Sn isotopes in $sdg_{7/2}h_{11/2}$ model space using two different interactions. The first set of interaction is due to Brown {\it et…

Nuclear Theory · Physics 2012-05-15 T. Trivedi , P. C. Srivastava , D. Negi , I. Mehrotra

$^{17}$C has three states below the $^{16}$C + $n$ threshold with quantum numbers $J^P=3/2^+,1/2^+,5/2^+$. These states have relatively small neutron separation energies compared to the neutron separation and excitation energies of…

Nuclear Theory · Physics 2018-12-05 Jonas Braun , Hans-Werner Hammer , Lucas Platter

An analytic phenomenological shell model mass formula for light nuclei is constructed., The formula takes into account the non locality of the self consistent single particle potential and the special features of light nuclei, namely: a)…

Nuclear Theory · Physics 2012-07-26 Mariano Bauer , Hugo Garcia Tecocoatzi , Cristian Mojica

We studied firstly the ground state properties of C-isotopes using a deformed Hartree-Fock (HF)+ BCS model with Skyrme interactions. Shallow deformation minima are found in several neutron$-$rich C-isotopes. It is shown also that the…

Nuclear Theory · Physics 2017-08-23 Toshio Suzuki , Hiroyuki Sagawa , Kouichi Hagino

Shell model wave functions have been used to form microscopic g-folding optical potentials with which elastic scattering data from 8He, 10,11C, and 18,20,22O scattering on hydrogen has been analyzed. Those potentials, the effective…

Nuclear Theory · Physics 2009-11-13 S. Karataglidis , Y. J. Kim , K. Amos

Breakup cross sections are determined for the Borromean nucleus 22C by using a four-body eikonal model, including Coulomb corrections. Bound and continuum states are constructed within a 20C + n + n three-body model in hyperspherical…

Nuclear Theory · Physics 2016-09-07 E. C. Pinilla , P. Descouvemont

At energies below the Coulomb barrier, the fusion excitation function for the $^{12}$C+$^{12}$C system shows prominent fine structures, whereas that for the $^{12}$C+$^{13}$C system behaves more smoothly as a function of energy. We…

Nuclear Theory · Physics 2015-06-23 K. Hagino , N. Rowley

The differential elastic cross sections of $^{12}$C - $^{12}$C, $^{16}$O - $^{16}$O and $^{20}$Ne - $^{20}$Ne nuclei scattering are calculated in the complete Glauber theory with the account of the modification due to Coulomb interaction…

Nuclear Theory · Physics 2024-05-21 Yu. M. Shabelski , A. G. Shuvaev

The neutron is largely spherical and incompressible in atomic nuclei. These two properties are however challenged in the extreme pressure environment of a neutron star. Our variational computation within the Cornell model of Coulomb gauge…

Nuclear Theory · Physics 2014-01-28 Felipe J. Llanes-Estrada , Gaspar Moreno Navarro

The neutron rich isotopes with Z<20, in particular those with neutron numbers around N=28,have been at the focus of a lot experimental and theoretical scrutiny during the last few years.Shell model calculations using the effective…

Nuclear Theory · Physics 2009-02-18 F. Nowacki , A. Poves

In weakly bound exotic nuclei, number of excited bound states or narrow resonances is small and, moreover, they couple strongly to the particle continuum. Hence, these systems should be described in the quantum open system formalism which…

Nuclear Theory · Physics 2007-05-23 N. Michel , J. Okolowicz , M. Ploszajczak

In this work, we present a systematic study of low-lying states and electromagnetic properties of the semi-magic $N = 82$ isotonic chain with proton number $Z=51$-77, using the full configuration interaction shell model with a newly…

Nuclear Theory · Physics 2026-01-15 Y. X. Yu , Q. Y. Chen , Chong Qi , G. J. Fu

We apply an {\it ab-initio} approach to the nuclear structure of odd-mass nuclei straddling $^{48}Ca$. Starting with the NN interaction, that fits two-body scattering and bound state data we evaluate the nuclear properties of $A = 47$ and…

Nuclear Theory · Physics 2007-05-23 J. P. Vary , A. G. Negoita , S. Stoica

Coulomb dissociation is an especially simple and important reaction mechanism. Since the perturbation due to the electric field of the (target) nucleus is exactly known, firm conclusions can be drawn from such measurements. Electromagnetic…

Nuclear Theory · Physics 2007-05-23 G. Baur , K. Hencken , D. Trautmann , S. Typel

Binding energies and other global properties of nuclei in the middle of the $pf$ shell, such as M1, E2 and Gamow-Teller sum rules, have been obtained using a new Shell Model code (NATHAN) written in quasi-spin formalism and using a…

Nuclear Theory · Physics 2009-10-31 E. Caurier , G. Martinez-Pinedo , F. Nowacki , A. Poves , J. Retamosa , A. P. Zuker

We present a systematic configuration-interaction shell model calculation on the structure of light tin isotopes with a new global optimized effective interaction. The starting point of the calculation is the realistic CD-Bonn…

Nuclear Theory · Physics 2012-10-19 Chong Qi , Z. X. Xu