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The effective interaction GXPF1 for shell-model calculations in the full $pf$ shell is tested in detail from various viewpoints such as binding energies, electro-magnetic moments and transitions, and excitation spectra. The semi-magic…

Nuclear Theory · Physics 2009-11-10 Michio Honma , Takaharu Otsuka , B. Alex Brown , Takahiro Mizusaki

Hypernuclei are bound states of neutrons, protons and one or two hyperons, thus extending the nuclear landscape to a third dimension. They also encode information about the baryon-baryon and three-baryon interactions. Here, we review recent…

Nuclear Theory · Physics 2025-08-08 Johann Haidenbauer , Ulf-G. Meißner , Andreas Nogga

We calculated the energy spectra of the neutron-rich He $\Lambda$ hypernuclei with $A=6$ to 9 within the framework of an $\alpha + \Lambda +Xn$ ($X=1$--4) cluster model using the cluster orbital shell model. The employed constituent…

Nuclear Theory · Physics 2023-05-05 Takayuki Myo , Emiko Hiyama

Results of large-basis shell-model calculations for nuclei with A=7-11 are presented. The effective interactions used in the study were derived microscopically from the Reid93 potential and take into account the Coulomb potential as well as…

Nuclear Theory · Physics 2008-11-26 P. Navratil , B. R. Barrett

We investigate unnatural-parity high-spin states in neutron-rich Cr and Fe isotopes using large-scale shell-model calculations. These shell-model calculations are carried out within the model space of $fp$-shell + $0g_{9/2}$ + $1d_{5/2}$…

Nuclear Theory · Physics 2015-06-23 Tomoaki Togashi , Noritaka Shimizu , Yutaka Utsuno , Takaharu Otsuka , Michio Honma

First self-consistent realistic shell-model calculation for the light p-shell nuclei is performed, starting from the high-precision nucleon-nucleon (NN) CD-Bonn potential. This realistic potential is renormalized deriving a low-momentum NN…

Nuclear Theory · Physics 2009-11-11 L. Coraggio , N. Itaco

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 no-core shell model and the effective interaction $V_{{\rm low} k}$ can both be derived using the Lee-Suzuki projection operator formalism. The main difference between the two is the choice of basis states that define the model space.…

Nuclear Theory · Physics 2009-11-11 B. K. Jennings

We propose a procedure to determine the effective nuclear shell-model Hamiltonian in a truncated space from a self-consistent mean-field model, e.g., the Skyrme model. The parameters of pairing plus quadrupole-quadrupole interaction with…

Nuclear Theory · Physics 2009-09-28 Kazunari Kaneko , Takahiro Mizusaki , Yang Sun , Munetake Hasegawa

Ab initio methods aim to solve the nuclear many-body problem with controlled approximations. Virtually exact numerical solutions for realistic interactions can only be obtained for certain special cases such as few-nucleon systems. Here we…

Nuclear Theory · Physics 2018-03-29 C. Forssén , B. D. Carlsson , H. T. Johansson , D. Sääf , A. Bansal , G. Hagen , T. Papenbrock

A mixed-symmetry nuclear shell-model scheme for carrying out calculations in regimes where there is a competition between two or more modes is proposed. A one-dimensional toy model is used to demonstrate the concept. The theory is then…

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

We perform realistic shell-model calculations for nuclei with valence nucleons outside 48Ca, employing two different model spaces. The matrix elements of the effective two-body interaction and electromagnetic multipole operators have been…

Nuclear Theory · Physics 2014-03-24 L. Coraggio , A. Covello , A. Gargano , N. Itaco

We solve the coordinate space Faddeev equations in the continuum. We employ hyperspherical coordinates and provide analytical expressions allowing easy computation of the effective potentials at distances much larger than the ranges of the…

Nuclear Theory · Physics 2008-11-26 A. Cobis , D. V. Fedorov , A. S. Jensen

A shell model effective interaction for nuclei beyond the double magic nucleus 78Ni is constructed. First, the single-particle evolutions for valence neutrons above the double magic 78Ni are systematically explored in the N = 51 isotones…

Nuclear Theory · Physics 2025-10-10 N. Chen , J. G. Li , H. H. Li

We apply the No-Core Shell Model with Continuum (NCSMC) that is capable of describing both bound and unbound states in light nuclei in a unified way with chiral two- and three-nucleon interactions as the only input. The NCSMC can predict…

Nuclear Theory · Physics 2022-12-05 P. Navratil , K. Kravvaris , P. Gysbers , C. Hebborn , G. Hupin , S. Quaglioni

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 Lee-Suzuki iteration method is used to include the folded diagrams in the calculation of the two-body effective interaction $v^{(2)}_{\rm eff}$ between two nucleons in a no-core model space. This effective interaction still depends upon…

Nuclear Theory · Physics 2008-11-26 D. C. Zheng , B. R. Barrett , J. P. Vary , H. Müther

We present a detailed discussion of the structure of the low-lying positive-parity energy spectrum of $^{12}$C from a no-core shell-model perspective. The approach utilizes a fraction of the usual shell-model space and extends its…

Nuclear Theory · Physics 2017-04-19 A. C. Dreyfuss , K. D. Launey , T. Dytrych , J. P. Draayer , R. B. Baker , C. M. Deibel , C. Bahri

We present a macroscopic model for the energy of rotation nuclei which has several refinements relative to the rotating liquid drop model. The most important features are the inclusion of the shell correction and using a new family of…

Nuclear Theory · Physics 2007-05-23 A. Boucenna , S. Madjber , A. Bouketir

We extend the ab initio no-core shell model/resonating-group method (NCSM/RGM) to projectile-target binary-cluster states where the projectile is a deuteron. We discuss the formalism in detail and give algebraic expressions for the…

Nuclear Theory · Physics 2015-03-18 Petr Navratil , Sofia Quaglioni