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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

The Schroedinger equation is solved for an A-nucleon system using an expansion of the wave function in nonsymmetrized hyperspherical harmonics. Our approach is both an extension and a modification of the formalism developed by Gattobigio et…

Nuclear Theory · Physics 2015-06-12 Sergio Deflorian , Nir Barnea , Winfried Leidemann , Giuseppina Orlandini

The superconformal algebraic approach to hadronic physics is used to construct a semiclassical effective theory for nucleons which incorporates essential nonperturbative dynamical features, such as the emergence of a confining scale and the…

High Energy Physics - Phenomenology · Physics 2016-07-20 Guy F. de Teramond

Recent advances in the study of the p-d radiative and mu-3he weak capture processes are presented and discussed. The three-nucleon bound and scattering states are obtained using the correlated-hyperspherical-harmonics method, with realistic…

Nuclear Theory · Physics 2007-05-23 L. E. Marcucci , M. Viviani , A. Kievsky , S. Rosati , R. Schiavilla

The hyperspherical adiabatic expansion is combined with complex scaling and used to calculate low-lying nuclear resonances of $^{12}$C in the $3\alpha$-model. We use Ali-Bodmer potentials and compare results for other potentials…

Nuclear Theory · Physics 2009-11-13 R. Alvarez-Rodriguez , E. Garrido , A. S. Jensen , D. V. Fedorov , H. O. U. Fynbo

We present a generalization of the hyperspherical harmonic formalism to study systems made of quarks and antiquarks of the same flavor. This generalization is based on the symmetrization of the $N-$body wave function with respect to the…

High Energy Physics - Phenomenology · Physics 2008-11-26 J. Vijande , N. Barnea , A. Valcarce

In the past, several efficient methods have been developed to solve the Schroedinger equation for four-nucleon bound states accurately. These are the Faddeev-Yakubovsky, the coupled-rearrangement-channel Gaussian-basis variational, the…

Recent work on using density dependent $\Lambda$-nuclear optical potentials in calculations of $\Lambda$-hypernuclear binding energies is reviewed. It is found that all known $\Lambda$ binding energies in the mass range $16 \leq A \leq 208$…

Nuclear Theory · Physics 2026-02-11 Eliahu Friedman , Avraham Gal

Hypernuclei are bound states of neutrons, protons and one or two hyperons, thus extending the nuclear landscape to a third dimension. They also encode information about the baryon-baryon and three-baryon interactions. Here, we review recent…

Nuclear Theory · Physics 2025-08-08 Johann Haidenbauer , Ulf-G. Meißner , Andreas Nogga

We use recent theoretical advances to develop a new functional form for interatomic forces in bulk silicon. The theoretical results underlying the model include a novel analysis of elastic properties for the diamond and graphitic structures…

Materials Science · Physics 2016-08-31 Martin Z. Bazant , Efthimios Kaxiras , J. F. Justo

We apply the general principles of effective field theories to the construction of effective interactions suitable for few- and many-body calculations in a no-core shell model framework. We calculate the spectrum of systems with three and…

Other Condensed Matter · Physics 2008-11-26 I. Stetcu , B. R. Barrett , U. van Kolck , J. P. Vary

The nucleon form factors are calculated using a non-relativistic description in terms of constituent quarks. The emphasis is put on the reliability of present numerical methods used to solve the three-body problem in order to correctly…

Nuclear Theory · Physics 2009-10-31 B. Desplanques , B. Silvestre-Brac , F. Cano , P. Gonzalez , S. Noguera

We study a particular class of relativistic nuclear energy density functionals in which only nucleon degrees of freedom are explicitly used in the construction of effective interaction terms. Short-distance (high-momentum) correlations, as…

Nuclear Theory · Physics 2008-11-26 T. Niksic , D. Vretenar , P. Ring

This work treats few-body systems consisting of neutrons interacting with a $^{4}{\mathrm{He}}$ nucleus. The adiabatic hyperspherical representation is utilized to solve the $N$-body Schr$\ddot{\mathrm{o}}$dinger equation for the three- and…

Nuclear Theory · Physics 2025-11-25 Michael D. Higgins , Chris H. Greene

Binding energies of light, $A\leq 6$, $\Lambda\Lambda$ hypernuclei are calculated using the stochastic variational method in a pionless effective field theory (EFT) approach at leading order with the purpose of assessing critically the…

Nuclear Theory · Physics 2020-12-22 L. Contessi , M. Schäfer , N. Barnea , A. Gal , J. Mareš

We have used the hyperspherical adiabatic representation to describe the system of three identical bosons in an spin stretched state interacting by an attractive 1/r potential. A proposal has been made how such a system might be realized…

Atomic Physics · Physics 2007-05-23 J. P. D'Incao , S. C. Cheng , H. Suno , B. D. Esry

We have measured the interaction energy and three-body recombination rate for a two-component Fermi gas near a narrow Feshbach resonance and found both to be strongly energy dependent. Even for deBroglie wavelengths greatly exceeding the…

Quantum Gases · Physics 2015-06-03 E. L. Hazlett , Y. Zhang , R. W. Stites , K. M. O'Hara

The derivation of effective macroscopic theories approximating microscopic systems of interacting particles is a major question in non-equilibrium statistical mechanics. In these notes we present an approximation of systems made by many…

Mathematical Physics · Physics 2023-07-18 Chiara Saffirio

Energies of the low-lying bound S-states (L=0) of exotic three-body systems, consisting a nuclear core of charge +Ze (Z being atomic number of the core) and two negatively charged valence muons, have been calculated by hyperspherical…

Atomic Physics · Physics 2015-11-19 Md. Abdul Khan

We derive from the subleading contributions to the chiral three-nucleon force (short-range terms and relativistic corrections, published in Phys. Rev. C84, 054001 (2011)) a density-dependent two-nucleon interaction $V_\text{med}$ in…

Nuclear Theory · Physics 2018-12-05 N. Kaiser , V. Niessner