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We introduce an algorithm to obtain coefficients of fractional parentage for light $p$-shell nuclei. The coefficients enable to use Jacobi coordinates in no-core shell model calculations separating off the center-of-mass motion. Fully…

Nuclear Theory · Physics 2016-04-26 S. Liebig , U. -G. Meißner , A. Nogga

The ab initio no-core shell model (NCSM) is extended to include a realistic three-body interaction in calculations for p-shell nuclei. The NCSM formalism is reviewed and new features needed in calculations with three-body forces are…

Nuclear Theory · Physics 2009-11-10 P. Navratil , W. E. Ormand

There has been significant recent progress in solving the long-standing problems of how nuclear shell structure and collective motion emerge from underlying microscopic inter-nucleon interactions. We review a selection of recent significant…

We implement an effective operator formalism for general one- and two-body operators, obtaining results consistent with the no-core shell model (NCSM) wave functions. The Argonne V8' nucleon-nucleon potential was used in order to obtain…

Nuclear Theory · Physics 2007-05-23 Ionel Stetcu , Bruce R. Barrett , Petr Navratil , James P. Vary

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

The description of structural and dynamical properties of nuclei starting from the fundamental interaction between nucleons has been a long-standing goal in nuclear physics. The ab initio No-Core Shell Model combined with the…

The energies and decay widths of the states of the exotic 7He nucleus are studied in an ab initio approach. The spectrum of these states is calculated using No-Core Shell Model and corresponding extrapolation procedure. Well-proven on a…

Nuclear Theory · Physics 2021-04-22 D. M. Rodkin , Yu. M. Tchuvil'sky

The charge form factor of ${}^6$Li nucleus is considered on the basis of its cluster structure. The charge density of ${}^6$Li is presented as a superposition of two terms. One of them is a folded density and the second one is a sum of…

Nuclear Theory · Physics 2009-11-13 G. Z. Krumova , E. Tomasi-Gustafsson , A. N. Antonov

We present techniques that allow for $\alpha$-cluster channels with realistic $\alpha$-particle wave functions from No Core Shell Model calculations to be constructed. We compare results of several clustering calculations with realistic…

Nuclear Theory · Physics 2017-08-02 Konstantinos Kravvaris , Alexander Volya

An overview of the ab initio no-core shell model is presented. Recent results for light nuclei obtained with the chiral two-nucleon and three-nucleon interactions are highlighted. Cross section calculations of capture reactions important…

Nuclear Theory · Physics 2007-11-20 Petr Navratil

We present a calculation of spectroscopic factors within coupled-cluster theory. Our derivation of algebraic equations for the one-body overlap functions are based on coupled-cluster equation-of-motion solutions for the ground and excited…

Nuclear Theory · Physics 2014-11-20 Ø. Jensen , G. Hagen , T. Papenbrock , D. J. Dean , J. S. Vaagen

New concept of clustering is discussed in $\Lambda$ hypernuclei using a new-type microscopic cluster model wave function, which has a structure that constituent clusters are confined in a container, whose size is a variational parameter and…

Nuclear Theory · Physics 2016-06-21 Y. Funaki , T. Yamada , E. Hiyama , B. Zhou , K. Ikeda

We use a microscopic multicluster model to investigate the structure of $^{10}$Be and of $^{11}$Be. These nuclei are described by $\alpha+\alpha+n+n$ and $\alpha+\alpha+n+n+n$ configurations, respectively, within the Generator Coordinate…

Nuclear Theory · Physics 2020-03-20 Pierre Descouvemont , Naoyuki Itagaki

We combine a recently developed ab initio many-body approach capable of describing simultaneously both bound and scattering states, the ab initio NCSM/RGM, with an importance truncation scheme for the cluster eigenstate basis and demostrate…

Nuclear Theory · Physics 2014-11-21 Petr Navratil , Robert Roth , Sofia Quaglioni

An {\em ab initio} (i.e., from first principles) theoretical framework capable of providing a unified description of the structure and low-energy reaction properties of light nuclei is desirable to further our understanding of the…

Nuclear Theory · Physics 2016-04-20 S. Quaglioni , G. Hupin , A. Calci , P. Navratil , R. Roth

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

Exotic nuclear structures such as halos are mostly studied using reactions. In Coulomb breakup, the radioactive projectile dissociates through its interaction with a heavy target. Often, a spectroscopic factor for the core-halo structure is…

Nuclear Theory · Physics 2026-03-12 Live-Palm Kubushishi , Pierre Capel

Hamilton et al. (1991) proposed a simple formula relating the nonlinear autocorrelation function of the mass distribution to the primordial spectrum of density fluctuations for gravitational clustering in an $\Omega=1$ universe. High…

Astrophysics · Physics 2016-06-08 B. Jain , H. J. Mo , S. D. M. White

The production of $^7$Be and $^7$Li nuclei plays an important role in primordial nucleosynthesis, nuclear astrophysics, and fusion energy generation. The $^3\mathrm{He}(\alpha , \gamma) ^7\mathrm{Be}$ and $^3\mathrm{H}(\alpha , \gamma)…

Nuclear Theory · Physics 2019-08-14 Matteo Vorabbi , Petr Navrátil , Sofia Quaglioni , Guillaume Hupin

We study the nucleation of crystalline cluster phases in the generalized exponential model with exponent n=4. Due to the finite value of this pair potential for zero separation, at high densities the system forms cluster crystals with…

Soft Condensed Matter · Physics 2016-09-01 Christian Leitold , Christoph Dellago