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We study the $^6$He Borromean nucleus in coordinate representation within a three-body model with two-body potentials derived from cluster effective field theory (EFT). These potentials are originally developed in momentum space and Fourier…

Nuclear Theory · Physics 2025-06-03 E. C. Pinilla , W. Leidemann , G. Orlandini , P. Descouvemont

Building upon the worldline effective field theory (EFT) formalism for spinning bodies developed for the Post-Newtonian regime, we generalize the EFT approach to Post-Minkowskian (PM) dynamics to include rotational degrees of freedom in a…

High Energy Physics - Theory · Physics 2022-05-30 Zhengwen Liu , Rafael A. Porto , Zixin Yang

Using the complex energy method, the problem of nucleon-deuteron scattering is solved with a simple three-body force having a separable form. Our results are compared with the results of modern direct two-variable calculations and a good…

Nuclear Theory · Physics 2012-07-03 Aye Mya Phyu , Hiroyuki Kamada , Jacek Golak , Htun Htun Oo , Henryk Witala , Walter Gloeckle

Effective field theory requires all observables to be independent of the representation used for the quantum field operators. It means that off-shell properties of the interactions should not lead to any observable effects. We analyse this…

Nuclear Theory · Physics 2016-09-08 Boris Krippa , Michael C. Birse , Judith A. McGovern , Niels R. Walet

We discuss the three-body properties of identical bosons exhibiting large scattering length in two spatial dimensions. Within an effective field theory for resonant interactions, we calculate the leading non-universal corrections from the…

Quantum Gases · Physics 2015-03-17 K. Helfrich , H. -W. Hammer

We show how effectively effective quantum field theories work in nuclear physics. Using the physically transparent cut-off regularization, we study the simplest nuclear systems of two nucleons for both bound and scattering states at a…

Nuclear Theory · Physics 2009-10-31 Tae-Sun Park , Kuniharu Kubodera , Dong-Pil Min , Mannque Rho

We present a new, mathematically rigorous, method suitable for bound state and scattering processes calculations for various three atomic or molecular systems where the underlying forces are of a hard-core nature. We employed this method to…

Chemical Physics · Physics 2007-05-23 E. A. Kolganova , A. K. Motovilov , S. A. Sofianos

We analyze the power counting of two-body currents in nuclear effective field theories (EFTs). We find that the existence of non-perturbative physics at low energies, which is manifest in the existence of the deuteron and the 1S0 NN virtual…

Nuclear Theory · Physics 2015-03-05 M. Pavón Valderrama , Daniel R. Phillips

We present a simple introduction to the techniques of effective field theory (EFT) and their application to QCD. For problems with more than one energy scale, the EFT approach is a useful alternative to more traditional model-building…

Nuclear Theory · Physics 2007-05-23 U. van Kolck , L. J. Abu-Raddad , D. M. Cardamone

We present a new perturbative expansion for pionless effective field theory with Coulomb interactions in which at leading order the spin-singlet nucleon-nucleon channels are taken in the unitarity limit. Presenting results up to…

Nuclear Theory · Physics 2016-04-28 Sebastian König , Harald W. Grießhammer , H. -W. Hammer , U. van Kolck

We present an improved action for Pionless Effective Field Theory (EFT). Previous formulations of renormalizable nuclear EFTs have encountered instabilities in systems with more than four nucleons. We resolve this issue by introducing a…

Nuclear Theory · Physics 2025-05-15 L. Contessi , M. Schäfer , A. Gnech , A. Lovato , U. van Kolck

We investigate Nuclear Lattice Effective Field Theory for the two-body system for several lattice spacings at lowest order in the pionless as well as in the pionful theory. We discuss issues of regularizations and predictions for the…

Nuclear Theory · Physics 2015-06-26 Nico Klein , Dean Lee , Weitao Liu , Ulf-G. Meißner

We study the wave function $\phi^{(3)}$ of three identical bosons scattering at zero energy, zero total momentum, and zero orbital angular momentum in two dimensions, interacting via short-range potentials with a finite two-body scattering…

Quantum Gases · Physics 2026-01-29 Junjie Liang , Hongye Yu , Shina Tan

We compute the medium-mass nuclei $^{16}$O and $^{40}$Ca using pionless effective field theory (EFT) at next-to-leading order (NLO). The low-energy coefficients of the EFT Hamiltonian are adjusted to experimantal data for nuclei with mass…

Nuclear Theory · Physics 2018-11-02 A. Bansal , S. Binder , A. Ekström , G. Hagen , G. R. Jansen , T. Papenbrock

A study of the $\eta$-3N interaction in the energy region near the $\eta$-^3H elastic scattering threshold is presented. The calculational scheme is based on the four-body scattering formalism. A manageable form of the integral equations is…

Nuclear Theory · Physics 2017-08-23 A. Fix , H. Arenhoevel

Particle-dimer scattering below and above the three-body threshold is studied using Faddeev differential equations. Correllations between the observables are shown and some analogies between three-nucleon and three-atom systems are…

Atomic and Molecular Clusters · Physics 2015-06-18 E. A. Kolganova

Few-body systems, such as cold atoms and halo nuclei, share universal features at low energies, which are insensitive to the underlying inter-particle interactions at short ranges. These low-energy properties can be investigated in the…

Nuclear Theory · Physics 2016-05-17 Chen Ji

The effect of isospin breaking pion s-wave rescattering is included in elastic NN scattering at low energies using effective field theory. Although this mechanism gave a large contribution to charge symmetry breaking in np --> d pi0, the…

Nuclear Theory · Physics 2009-11-07 J. A. Niskanen

Relativistic Faddeev equations for three-body scattering are solved at arbitrary energies in terms of momentum vectors without employing a partial wave decomposition. Relativistic invariance is incorporated withing the framework of…

Nuclear Theory · Physics 2009-11-13 Ch. Elster , T. Lin , W. N. Polyzou , W. Gloeckle

We present a theoretical study of the processes d(d,p)3H and d(d,n)3He at energies of interest for energy production and for big-bang nucleosynthesis. We accurately solve the four body scattering problem using the ab-initio hyperspherical…

Nuclear Theory · Physics 2023-03-29 M. Viviani , L. Girlanda , A. Kievsky , D. Logoteta , L. E. Marcucci
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