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Related papers: Structure of exotic three-body systems

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We discuss some of the challenges that future nuclear modeling may face in order to improve the description of the nuclear structure. One challenge is related to the need for A-body nuclear interactions justified by various contemporary…

Nuclear Theory · Physics 2024-06-19 V. G. Gueorguiev , P. Navratil , J. P. Vary , J. P. Draayer , F. Pan

We study the dynamics in the neighborhood of the collinear Lagrangian points in the spatial, circular, restricted three--body problem. We consider the case in which one of the primaries is a radiating body and the other is oblate (although…

Dynamical Systems · Mathematics 2015-02-03 Sara Bucciarelli , Marta Ceccaroni , Alessandra Celletti , Giuseppe Pucacco

Both simulation and observational data have shown that the spin and shape of dark matter halos are correlated with their nearby large-scale environment. As structure formation on different scales is strongly coupled, it is trick to…

Cosmology and Nongalactic Astrophysics · Physics 2021-10-27 Hou-Zun Chen , Xi Kang , Peng Wang , Noam I. Libeskind , Yu Luo

We study a three-body system, formed by a light particle and two identical heavy dipoles, in two dimensions in the Born-Oppenheimer approximation. We present the analytic light-particle wave function resulting from an attractive zero-range…

Atomic Physics · Physics 2017-01-11 D. S. Rosa , F. F. Bellotti , A. S. Jensen , G. Krein , M. T. Yamashita

We present a pedagogical review of the halo model, a flexible framework that can describe the distribution of matter and its tracers on non-linear scales for both conventional and exotic cosmological models. We start with the premise that…

Cosmology and Nongalactic Astrophysics · Physics 2023-11-08 Marika Asgari , Alexander J. Mead , Catherine Heymans

I describe the general mathematical construction and physical picture of topological black holes, which are black holes whose event horizons are surfaces of non-trivial topology. The construction is carried out in an arbitrary number of…

General Relativity and Quantum Cosmology · Physics 2007-05-23 R. B. Mann

Heavy-ion collisions are a good tool to explore hot nuclear matter below saturation density. It has been established that if a nuclear system reaches the thermal and chemical equilibrium, this leads to scaling properties in the isotope…

We extend the two-dimensional Cartesian shapelet formalism to d-dimensions. Concentrating on the three-dimensional case, we derive shapelet-based equations for the mass, centroid, root-mean-square radius, and components of the quadrupole…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-03 C. J. Fluke , A. L. Malec , P. D. Lasky , B. R. Barsdell

A formalism based on the complex-scaling method is presented to solve the few particle scattering problem in configuration space using bound state techniques with trivial boundary conditions. Several applications to A=3,4 systems are…

Nuclear Theory · Physics 2015-06-12 Rimantas Lazauskas , Jaume Carbonell

A new method unifying many and few-body aspects of nuclear structure has recently been introduced \cite{hov18}. This method combines the many-body description of a core and the few-body structure of this core surrounded by two valence…

Nuclear Theory · Physics 2020-08-03 E. Garrido , A. S. Jensen

We develop the formalism to include substructure in the halo model of clustering. Real halos are not likely to be perfectly smooth, but have substructure which has so far been neglected in the halo model -- our formalism allows one to…

Astrophysics · Physics 2009-11-07 Ravi K. Sheth , Bhuvnesh Jain

Halo nuclei are excellent examples of few-body systems consisting of a core and weakly-bound halo nucleons. Where there is only one nucleon in the halo, as in 11Be, the many-body problem can be reduced to a two-body problem. The…

Nuclear Experiment · Physics 2016-10-03 K. L. Jones

In Efimov physics, a three-body parameter (3BP), previously regarded as nonuniversal, uniquely defines bound and scattering properties of three particles. A universal 3BP, however, have been recently shown in experiments and theory in…

Atomic Physics · Physics 2012-12-13 Yujun Wang , Jia Wang , J. P. D'Incao , Chris H. Greene

We compute the strengths of zero-th order (in eccentricity) three-body resonances for a co-planar and low eccentricity multiple planet system. In a numerical integration we illustrate that slowly moving Laplace angles are matched by…

Earth and Planetary Astrophysics · Physics 2015-05-28 Alice C. Quillen

Superintegrable Hamiltonian systems describing the interactions among three point masses on a line have been described in [2]. Here, we show examples of how the approach of above can be extended to a higher number of particles on a line and…

Mathematical Physics · Physics 2009-07-31 Claudia Chanu , Luca Degiovanni , Giovanni Rastelli

For a better understanding of the dynamics of exotic nuclei it is of crucial importance to develop a practical microscopic theory easy to be applied to a wide range of masses. Theoretically the basic task consists in formulating an easy…

Nuclear Theory · Physics 2009-11-11 M. Tomaselli , T. Kuehl , D. Ursescu

We study the matter bispectrum of large structure by comparing theoretical models (perturbation theories and halo models) to numerical simulations using shape and amplitude correlators. We show that among the perturbation theories at one…

Cosmology and Nongalactic Astrophysics · Physics 2017-10-19 Andrei Lazanu

A Borromean nucleus is a bound three-body system which is pairwise unbound because none of the two-body subsystem interactions are strong enough to bind them in pairs. As a consequence, the single-particle spectrum of a neutron in the core…

Nuclear Theory · Physics 2017-01-30 R. M. Id Betan

Several topics concerning nuclear structure and electromagnetic interactions of heavy nuclei are reviewed. These comprehend the deformed single-particle shell model, nuclear collective motion, symmetry breaking and approximate symmetry…

Nuclear Theory · Physics 2024-06-12 Alejandro Restrepo-Giraldo

We investigate the set of partial partitions of a finite set, ordered by inclusion. With this ordering the set of partial partitions can be studied as an abstract simplicial complex. We use the theory of shellable nonpure complexes to find…

Combinatorics · Mathematics 2023-11-21 Michael J. Gottstein