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High-energy nuclear collisions have opened a new experimental method to reveal collective behavior in nuclear ground states through the lens of many-body correlations of nucleons. Using ab initio lattice and variational calculations of…

Nuclear Theory · Physics 2025-12-23 Jean-Paul Blaizot , Giuliano Giacalone , Alessandro Lovato

The spinless resonant level model is studied when it is coupled by hopping to one of the arbitrary number of conduction electron channels. The Coulomb interaction acts between the electron on the impurity and in the different channels. In…

Strongly Correlated Electrons · Physics 2007-05-23 Laszlo Borda , Karoly Vladar , Alfred Zawadowski

Based on the extended optical model approach in which the polarization potential is decomposed into direct reaction (DR) and fusion parts, simultaneous $\chi^{2}$ analyses are performed for elastic scattering and fusion cross section data…

Nuclear Theory · Physics 2009-11-11 W. Y. So , T. Udagawa , K. S. Kim , S. W. Hong , B. T. Kim

Results on the correlations of low density classical and quantum Coulomb systems at equilibrium in three dimensions are reviewed. The exponential decay of particle correlations in the classical Coulomb system -- Debye-H\"uckel screening --…

Statistical Mechanics · Physics 2015-06-25 David C. Brydges , Ph. A. Martin

Nuclear decays into three-particle channels are considered in a few-body approach of hyperspherical harmonics with emphasis on simultaneous, or direct, emission of two protons. General conditions of direct decays are described and their…

Nuclear Experiment · Physics 2009-10-31 Ivan Mukha

A one-dimensional system of bosons interacting with contact and single-Gaussian forces is studied with an expansion in hyperspherical harmonics. The hyperradial potentials are calculated using the link between the hyperspherical harmonics…

Nuclear Theory · Physics 2017-10-03 N. K. Timofeyuk , D. Baye

In this paper, a nice theoretical scheme is presented to investigate resonant and bound states in weakly bound nuclear systems by the use of isospectral potentials together with hyperspherical harmonics expansion. In this scheme, a new…

Nuclear Theory · Physics 2022-04-04 Md. A. Khan , M. Hasan , S. H. Mondal , M. Alam , T. Surungan

A coordinate space approach, based on that used by Efimov, is applied to three-body systems with contact interactions between pairs of particles. In systems with nonzero orbital angular momentum or with asymmetric spatial wave functions,…

Nuclear Theory · Physics 2009-11-11 Michael C. Birse

Recent advances in the treatment of scattering of charged composite particles are reviewed. In a first part I report on developments of the theory. Specifically I describe the recent completion of the derivation of the co-ordinate space…

Nuclear Theory · Physics 2011-04-15 E. O. Alt

We investigate the influence of couplings among continuum states in collisions of weakly bound nuclei. For this purpose, we compare cross sections for complete fusion, breakup and elastic scattering evaluated by continuum discretized…

Nuclear Theory · Physics 2013-05-29 L. F. Canto , J. Lubian , P. R. S. Gomes , M. S. Hussein

The contact formalism, a useful tool for analyzing short-range correlations, is generalized here for systems with coupled channels, such as in nuclear physics. The relevant asymptotic form is presented and contact matrices are defined.…

Nuclear Theory · Physics 2017-11-01 Ronen Weiss , Nir Barnea

General expressions for the breakup cross sections in the lab frame for $1+2$ reactions are given in terms of the hyperspherical adiabatic basis. The three-body wave function is expanded in this basis and the corresponding hyperradial…

Nuclear Theory · Physics 2015-06-22 E. Garrido , A. Kievsky , M. Viviani

We study a system of $A$ identical interacting bosons trapped by an external field by solving ab initio the many-body Schroedinger equation. A complete solution by using, for example, the traditional hyperspherical harmonics (HH) basis…

Quantum Physics · Physics 2009-11-10 T. K. Das , B. Chakrabarti

We describe bound states, resonances and elastic scattering of light ions using a $\delta$-shell potential. Focusing on low-energy data such as energies of bound states and resonances, charge radii, asymptotic normalization coefficients,…

Nuclear Theory · Physics 2019-11-11 Benjamin K. Luna , T. Papenbrock

Universal low-energy properties are studied for three identical bosons confined in two dimensions. The short-range pair-wise interaction in the low-energy limit is described by means of the boundary condition model. The wave function is…

Atomic Physics · Physics 2009-11-11 O. I. Kartavtsev , A. V. Malykh

The coupled-channel theory is a natural way of treating nonelastic channels, in particular those arising from collective excitations, defined by nuclear deformations. Proper treatment of such excitations is often essential to the accurate…

Nuclear Theory · Physics 2015-03-13 G. P. A. Nobre , F. S. Dietrich , M. Herman , A. Palumbo , S. Hoblit , D. Brown

The Gamow shell model provides the open quantum system formulation of nuclear shell model. In the coupled-channel representation, Gamow shell model provides the unified theory of nuclear structure and reactions which is well suited for the…

Nuclear Theory · Physics 2026-03-16 J. P. Linares Fernandez , N. Michel , M. Płoszajczak

The isospin breaking effects due to the Coulomb interaction in weakly-bound nuclei are studied using the Gamow Shell Model, a complex-energy configuration interaction approach which simultaneously takes into account many-body correlations…

Nuclear Theory · Physics 2011-01-21 N. Michel , W. Nazarewicz , M. Ploszajczak

In this paper, the asymptotic behavior of abstract strongly coupled hyperbolic equations with one infinite memory term is investigated, one specific case of which is the model for describing the dynamical behaviour of magnetic effected…

Analysis of PDEs · Mathematics 2023-05-16 Hai E Zhang , Gen Qi Xu , Zhong Jie Han

Recently E.Verlinde and H.Verlinde have suggested an effective two-dimensional theory describing the high-energy scattering in QCD. In this report we attempt to clarify some issues of this suggestion. We consider {\it anisotropic…

High Energy Physics - Theory · Physics 2007-05-23 I. Ya. Aref'eva , I. V. Volovich