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We study few-body bound states of charged particles subject to attractive zero-range/short-range plus repulsive Coulomb interparticle forces. The characteristic length scales of the system at zero energy are set by the Coulomb length scale…

Nuclear Theory · Physics 2019-10-23 C. H. Schmickler , H. -W. Hammer , A. G. Volosniev

A large two-body scattering length leads to universal behavior in few-body systems. In particular, the three-body system displays interesting features such as exact discrete scale invariance in the bound state spectrum in the limit of…

Nuclear Theory · Physics 2009-11-13 Lucas Platter

Geometric scaling is well confirmed for transverse momentum distributions observed in proton-proton collisions at LHC energies. We introduced multiplicity dependence on a saturation momentum of the geometrical scaling, assuming the scaling…

High Energy Physics - Phenomenology · Physics 2019-10-02 Takeshi Osada , Takuya Kumaoka

We study a heavy-heavy-light three-body system confined to one space dimension provided the binding energy of an excited state in the heavy-light subsystems approaches zero. The associated two-body system is characterized by (i) the…

Quantum Physics · Physics 2022-02-23 Lucas Happ , Matthias Zimmermann , Maxim A. Efremov

We explore the systematics of the density dependence of nuclear matter symmetry energy in the ambit of microscopic calculations with various energy density functionals, and find that the symmetry energy from subsaturation density to…

Nuclear Theory · Physics 2015-07-02 Lie-Wen Chen

Densities of particles on $\Rn$ which interact pairwise through an attractive-repulsive power-law potential $W_{\al,\bt}(x) = |x|^\al/\al-|x|^\bt/\bt$ have often been used to explain patterns produced by biological and physical systems. In…

Mathematical Physics · Physics 2022-12-14 Cameron Davies , Tongseok Lim , Robert J. McCann

Based on a simplest molecular orbital theory of H$_{2}^{+}$, a three-parameter model potential function is proposed to describe ground-state diatomic systems with closed-shell and/or S-type valence-shell constituents over a significantly…

Chemical Physics · Physics 2009-11-11 Rui-Hua Xie , Jiangbin Gong

We determined perturbatively the low-energy universal thermodynamics of dilute one-dimensional bosons with the three-body repulsive forces. The final results are presented for the limit of vanishing potential range in terms of…

Quantum Gases · Physics 2019-03-27 Volodymyr Pastukhov

Within a nonperturbative dynamical two-body approach - based on coupled equations of motion for the one-body density matrix and the two-body correlation function - we study the distribution of occupation numbers in a correlated system close…

Nuclear Theory · Physics 2009-10-22 Andreas Peter , Wolfgang Cassing , Joern M. Haeuser , Alfred Pfitzner

Small clusters of $^4$He atoms provide a paradigmatic setting for exploring universal phenomena in few-body quantum systems with large scattering length. Their weakly bound states serve as ideal test cases for studying Efimov physics and…

Quantum Gases · Physics 2025-11-18 Betzalel Bazak

In the framework of our model of soft interactions at high energy based on CGC/saturation approach,we show that Bose-Einstein correlations of identical gluons lead to large values of $v_n$. We demonstrate how three dimensional scales of…

High Energy Physics - Phenomenology · Physics 2016-11-23 E. Gotsman , E. Levin , U. Maor

We present a new two-body finite-range and momentum-dependent but density-independent effective interaction, which can be interpreted as a regularized zero-range force. We show that no three-body or density-dependent terms are needed for a…

Nuclear Theory · Physics 2015-06-16 K. Bennaceur , J. Dobaczewski , F. Raimondi

Few-body systems with large scattering length have universal properties that do not depend on the details of their interactions at short distances. We study the universal bound state properties of the four-boson system with large scattering…

Nuclear Theory · Physics 2008-11-26 H. -W. Hammer , L. Platter

In this work we show results for light nuclear systems and small clusters of helium atoms using the hyperspherical harmonics basis. We use the basis without previous symmetrization or antisymmetrization of the state. After the…

Atomic and Molecular Clusters · Physics 2015-06-05 M. Gattobigio , A. Kievsky , M. Viviani

In this paper we review a series of results obtained for 1D and 2D simple N-body dynamical models with infinite-range attractive interactions and without short distance singularities. The free energy of both models can be exactly obtained…

Statistical Mechanics · Physics 2018-03-28 Mickael Antoni , Stefano Ruffo , Alessandro Torcini

We study ground- and excited-state properties of all sd-shell nuclei with neutron and proton numbers 8 <= N,Z <= 20, based on a set of low-resolution two- and three-nucleon interactions that predict realistic saturation properties of…

Nuclear Theory · Physics 2016-01-22 J. Simonis , K. Hebeler , J. D. Holt , J. Menendez , A. Schwenk

Confinement indicates an asymptotic quark state not observable except its energy is zero. Unitarity indicates that the total probability of a definite state of quark system to transit to any final state is exactly one. This talk reviews…

High Energy Physics - Phenomenology · Physics 2011-06-02 LI Shi-Yuan

We study two species of particles in two dimensions interacting by isotropic short-range potentials with the interspecies potential fine-tuned to a p-wave resonance. Their universal low-energy physics can be extracted by analyzing a…

Quantum Gases · Physics 2014-12-25 Sergej Moroz , Yusuke Nishida

Superexponential systems are characterized by a potential where dynamical degrees of freedom appear in both the base and the exponent of a power law. We explore the scattering dynamics of many-body systems governed by superexponential…

Classical Physics · Physics 2021-05-25 Peter Schmelcher

Two electrons move in a quasi one--dimensional wire under the influence of a short--range interaction. We restrict Hilbert space to those states where the two electrons are close to each other. Using supersymmetry, we present a complete…

Disordered Systems and Neural Networks · Physics 2009-11-07 Jean Richert , Hans A. Weidenmueller