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A simple analytic expression of the three-body wave function describing the system $(\alpha\alpha n)$ in the ground state $\frac{3}{2}^-$ of ${}^9\mathrm{Be}$ is obtained. In doing this, it is assumed that the $\alpha$ particles interact…

Nuclear Theory · Physics 2024-08-06 S. A. Rakityansky

We present a theoretical calculation for the $A = 2, 3$ and 4 nuclear contact coefficients within the generalized contact formalism, using both local and non-local chiral potentials. The Hyperspherical Harmonics method is employed to…

Nuclear Theory · Physics 2026-01-16 E. Proietti , L. E. Marcucci , M. Viviani

The Faddeev-Yakubovsky equations for the alpha-particle are solved. Accurate results are obtained for several modern NN interaction models, which include charge-symmetry breaking effects in the NN force, nucleon mass dependences as well as…

Nuclear Theory · Physics 2008-11-26 A. Nogga , H. Kamada , W. Gloeckle , B. R. Barrett

In this work, we study the nucleon-antinucleon system in a constituent quark model. We first construct the nucleon-antinucleon wave function such that the multiquark and multiantiquark components each satisfy the Pauli exclusion principle,…

Nuclear Theory · Physics 2026-01-06 Aaron Park , Sungtae Cho , Su Houng Lee

A variational technique to describe the ground and scattering states below the break-up threshold for a three-nucleon system is developed. The method consists in expanding the wave function in terms of correlated Harmonic Hyperspherical…

Nuclear Theory · Physics 2009-10-30 A. Kievsky , M. Viviani , S. Rosati

In this work we study 2- and 3-body oscillators with quadratic and sextic pairwise potentials which depend on relative distances, $|{\bf r}_i - {\bf r}_j |$, between particles. The two-body harmonic oscillator is two-parametric and can be…

Mathematical Physics · Physics 2021-09-23 Alexander V Turbiner , Willard Miller , Adrian M Escobar-Ruiz

It is often assumed that few- and many-body systems can be accurately described by considering only pairwise two-body interactions of the constituents. We illustrate that three- and higher-body forces enter naturally in effective field…

Nuclear Theory · Physics 2013-02-08 H. -W. Hammer , A. Nogga , A. Schwenk

Nucleus-nucleus optical potentials are constructed from an energy density functional approach first outlined by Brueckner et al. The interaction term of the energy density functional comes from the complex nucleon self-energy computed in…

Nuclear Theory · Physics 2022-10-07 T. R. Whitehead

A geometrical model for tri-nuclear molecules is presented. An analytical solution is obtained provided the nuclei, which are taken to be prolately deformed, are connected in line to each other. Furthermore, the tri-nuclear molecule is…

Nuclear Theory · Physics 2008-11-26 P. O. Hess , S. Misicu , W. Greiner , W. Scheid

The traditional nuclear shell model approach is extended to include many-body forces. The empirical Hamiltonian with a three-body force is constructed for the identical nucleons on the 0f7/2 shell. Manifestations of the three-body force in…

Nuclear Theory · Physics 2009-08-03 Alexander Volya

Faddeev-Yakubovski equations in configuration space are used to solve four nucleon problem for bound and scattering states. Different realistic interaction models are tested, elucidating open problems in nuclear interaction description. On…

Nuclear Theory · Physics 2009-11-11 R. Lazauskas , J. Carbonell

We explore three-nucleon forces (3NF) from lattice QCD simulations. Utilizing the Nambu-Bethe-Salpeter (NBS) wave function, two-nucleon forces (2NF) and 3NF are determined on the same footing. Quantum numbers of the three-nucleon (3N)…

High Energy Physics - Lattice · Physics 2011-12-20 Takumi Doi , for HAL QCD Collaboration

We present the first study of pairing in nuclei including three-nucleon forces. We perform systematic calculations of the odd-even mass staggering generated using a microscopic pairing interaction at first order in chiral low-momentum…

Nuclear Theory · Physics 2015-03-19 Thomas Lesinski , Kai Hebeler , Thomas Duguet , Achim Schwenk

A new generation of local three-body potentials providing an excellent description of the properties of light nuclei, as well as of the neutron-deuteron doublet scattering length, has been recently derived. We have performed a comparative…

Nuclear Theory · Physics 2015-05-30 Alessandro Lovato , Omar Benhar , Stefano Fantoni , Kevin E. Schmidt

To solve difficulties related to the use of nuclear density functional theory applied in its beyond mean-field version, we introduce a semi-contact 3-body effective interaction. We show that this interaction is a good candidate to replace…

Nuclear Theory · Physics 2015-06-23 Denis Lacroix , Karim Bennaceur

A phase-space representation of nuclear interactions, which depends on the distance $\vec{r}$ and relative momentum $\vec{p}$ of the nucleons, is presented. A method is developed that permits to extract the interaction $V(\vec{r},\vec{p})$…

Nuclear Theory · Physics 2015-06-22 H. Feldmeier , T. Neff , D. Weber

The static three-quark potential in arbitrary configuration of quarks is calculated analytically. It is shown to be in a full agreement with the precise numerical simulations in lattice QCD. The results of the work have important…

High Energy Physics - Phenomenology · Physics 2009-11-07 D. S. Kuzmenko

We present a novel scheme for nuclear structure calculations based on realistic nucleon-nucleon potentials. The essential ingredient is the explicit treatment of the dominant interaction-induced correlations by means of the Unitary…

Nuclear Theory · Physics 2009-11-10 R. Roth , T. Neff , H. Hergert , H. Feldmeier

Different models for conserved two- and three-body electromagnetic currents are constructed from two- and three-nucleon interactions, using either meson-exchange mechanisms or minimal substitution in the momentum dependence of these…

Nuclear Theory · Physics 2014-11-18 L. E. Marcucci , M. Viviani , R. Schiavilla , A. Kievsky , S. Rosati

The momentum dependence of the antikaon optical potential in nuclear matter is obtained from a microscopic and self-consistent calculation using the meson-exchange J\"ulich $\bar{K}N$ interaction. Two self-consistent schemes are discussed,…

Nuclear Theory · Physics 2009-11-06 Laura Tolos , Angels Ramos , Artur Polls , Thomas T. S. Kuo