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We give details and derivations for the Noether invariance theory that characterizes the spatial equilibrium structure of inhomogeneous classical many-body systems, as recently proposed and investigated for bulk systems [F. Samm\"uller…

Soft Condensed Matter · Physics 2024-04-23 Sophie Hermann , Florian Sammüller , Matthias Schmidt

We have performed calculations based on the Skyrme energy density functional (EDF) that includes arbitrary mixing between protons and neutrons. In this framework, single-particle states are generalized as mixtures of proton and neutron…

Nuclear Theory · Physics 2016-01-18 Koichi Sato , Jacek Dobaczewski , Takashi Nakatsukasa , Wojciech Satuła

The three body (triple dipole) interaction of Axilrod, Teller and Muto (ATM) contributes 5 to 10 % of the total energy of condensed phases of inert elements. It is shown in this paper for clusters and films that a much larger or smaller ATM…

Soft Condensed Matter · Physics 2009-11-10 Silvina M. Gatica , M. Mercedes Calbi , Milton W. Cole , Darrell Velegol

Forces in the systems of two opposite sign and three identical charges coupled to the dynamical scalar field of the signum-Gordon model are investigated. Three-body force is present, and the exact formula for it is found. Flipping the sign…

High Energy Physics - Theory · Physics 2015-06-17 H. Arodz , J. Karkowski , Z. Swierczynski

The effect of three-body interatomic contributions in the equation of state of 4He are investigated. A recent two-body potential together with the Cohen and Murrell (Chem. Phys. Lett. 260, 371 (1996)) three-body potential are applied to…

Chemical Physics · Physics 2009-11-10 Sebastian Ujevic , S. A. Vitiello

Variational calculations of ground-state properties of $^4$He, $^{16}$O, and $^{40}$Ca are carried out employing realistic phenomenological two- and three-nucleon potentials. The trial wave function includes two- and three-body correlations…

Nuclear Theory · Physics 2017-09-04 D. Lonardoni , A. Lovato , Steven C. Pieper , R. B. Wiringa

In a quasiclassical framework, we formulate the double energy differential cross sections for the Coulomb four-body problem. We present results for the triple photoionization from the Li ground state at 220.5, 115, 50 and 3.8 eV excess…

Atomic Physics · Physics 2007-05-23 Agapi Emmanouilidou

We consider a system of $N$ spinless fermions, interacting with each other via a power-law interaction $\epsilon/r^n$, and trapped in an external harmonic potential $V(r) = r^2/2$, in $d=1,2,3$ dimensions. For any $0 < n < d+2$, we obtain…

Statistical Mechanics · Physics 2024-08-07 Pierre Le Doussal , Naftali R. Smith , Nathan Argaman

A new variational basis with well-behaved local approximation properties and multiple output is proposed for Coulomb systems. The trial function has proper behaviour at all Coulomb centres. Nonlinear asymptotic parameters are introduced…

Atomic Physics · Physics 2007-05-23 Vladimir S. Vanyashin

The equation of state of symmetric nuclear matter has been investigated within Brueckner approach adopting the charge-dependent Argonne $V_{18}$ two-body force plus a microscopic three-body force based on a meson-exchange model. The effects…

Nuclear Theory · Physics 2009-11-07 W. Zuo , A. Lejeune , U. Lombardo , J. F. Mathiot

Recent studies have completed the A=16 isospin quintets for states with spin/parity J{\pi} =0+ and 2+. The dependence of their masses as a function of isospin projection shows evidence for deviations from quadratic behavior indicating…

Nuclear Theory · Physics 2025-12-15 R. J. Charity , J. Okołowicz , M. Płoszajczak , L. G. Sobotka , K. W. Brown

The population and decay of two-nucleon resonances offer exciting new opportunities to explore dripline phenomena. The understanding of these systems requires a solid description of the three-body (core+N+N) continuum. The identification of…

Nuclear Theory · Physics 2019-01-08 J. Casal , J. Gómez-Camacho

We calculate resonances in three-body systems with attractive Coulomb potentials by solving the homogeneous Faddeev-Merkuriev integral equations for complex energies. The equations are solved by using the Coulomb-Sturmian separable…

Atomic Physics · Physics 2009-11-10 Z. Papp , J. Darai , J. Zs. Mezei , Z. T. Hlousek , C-. Y. Hu

Three-body continuum states are investigated with the hyperspherical method on a Lagrange mesh. The $R$-matrix theory is used to treat the asymptotic behaviour of scattering wave functions. The formalism is developed for neutral as well as…

Nuclear Theory · Physics 2009-11-11 P. Descouvemont , E. M. Tursunov , D. Baye

We derive the ground-state energy for a small number of ultracold atoms in an isotropic harmonic trap using effective quantum field theory (EFT). Atoms are assumed to interact through pairwise energy-independent and energy-dependent…

Quantum Gases · Physics 2014-10-29 X. Y. Yin , D. Blume , P. R. Johnson , E. Tiesinga

For quantum ballistic transport of electrons through a short conduction channel, the role of Coulomb interaction may significantly modify the energy levels of an electron pair at low temperatures as the channel becomes wide. In this regime,…

Mesoscale and Nanoscale Physics · Physics 2015-05-05 Danhong Huang , Godfrey Gumbs , Yonatan Abranyos , Michael Pepper , Sanjeev Kumar

Experimental studies of 152Sm using multiple-step Coulomb excitation and inelastic neutron scattering provide key data that clarify the low-energy collective structure of this nucleus. No candidates for two-phonon beta-vibrational states…

3He and the triton are studied as three-body bound states in the effective field theory without pions. We study 3He using the set of integral equations developed by Kok et al. which includes the full off-shell T-matrix for the Coulomb…

Nuclear Theory · Physics 2011-02-01 Shung-ichi Ando , Michael C. Birse

We derive the ground-state energy of $N$ composite bosons made of fermion pairs using the recently developed composite boson many-body formalism. We concentrate on the $N$-pair energy linear in density. We show that the scattering relevant…

Strongly Correlated Electrons · Physics 2015-06-15 Shiue-Yuan Shiau , Yia-Chung Chang , Monique Combescot

The recent experimental observation of isospin symmetry breaking (ISB) in the ground states of the $T=3/2$ mirror pair $^{73}$Sr - $^{73}$Br is theoretically studied using large-scale shell model calculations. The large valence space and…

Nuclear Theory · Physics 2020-09-23 S. M. Lenzi , A. Poves , A. O. Macchiavelli