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Related papers: Universal Correlations in Pion-less EFT with the R…

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We study the three-body systems of ${}^{3}\mathrm{He}$ and $pd$ scattering and demonstrate, both analytically and numerically, that a new $pd$ three-body force is needed at next-to-leading order in pionless effective field theory. We also…

Nuclear Theory · Physics 2015-04-21 Jared Vanasse , David A. Egolf , John Kerin , Sebastian König , Roxanne P. Springer

The pionless effective field theory (EFT) is the appropriate low-energy EFT for short-range interactions that display a large scattering length. It has been successfully applied in atomic, nuclear and particle physics. We give an overview…

Nuclear Theory · Physics 2014-11-20 Lucas Platter

We discuss the application of an effective theory with contact interactions to the non-relativistic four-body system with short-range interactions. We have computed the binding energies of the 4He tetramer and the alpha-particle. A…

Nuclear Theory · Physics 2007-05-23 L. Platter

This work studies the non-perturbative Coulomb corrections to the He-3 binding energy, magnetic moment, and charge and magnetic radii in leading-order (LO) Pionless Effective Field Theory (Pionless EFT). The splitting between He-3 and H-3…

Nuclear Theory · Physics 2026-04-29 Xincheng Lin

Using a recently developed effective field theory for the interactions of nucleons at non-relativistic energies, we calculate the rate for the fusion process $p + p \ra d + e^+ + \nu_e$ to leading order in the momentum expansion. Coulomb…

Nuclear Theory · Physics 2009-10-31 Xinwei Kong , Finn Ravndal

We construct a coordinate-space potential based on pionless effective field theory with a Gaussian regulator. Charge-symmetry breaking is included through the Coulomb potential and through two- and three-body contact interactions. Starting…

Nuclear Theory · Physics 2017-02-06 Vadim Lensky , Michael C. Birse , Niels R. Walet

Neutron-deuteron scattering in the context of ``pion-less'' Effective Field Theory at very low energies is investigated to next-to-next-to-leading order. Convergence is improved by fitting the two-nucleon contact interactions to the tail of…

Nuclear Theory · Physics 2009-11-10 Harald W. Griesshammer

We address the typical strengths of hadronic parity-violating three-nucleon interactions in "pion-less" Effective Field Theory in the nucleon-deuteron (iso-doublet) system. By analysing the superficial degree of divergence of loop diagrams,…

Nuclear Theory · Physics 2014-11-21 Harald W. Griesshammer , Matthias R. Schindler

The strong interaction, i.e., quantum chromodynamics at the low energy nuclear regime, is notoriously known to be challenging for predictive modeling. Here, we use the simplest possible nuclear effective field theory (EFT), and show that in…

Nuclear Theory · Physics 2022-07-21 Hilla De-Leon , Doron Gazit

Quantum chromodynamics and the electroweak theory at low energies are prominent instances of the combination of a short-range and a long-range interaction. For the description of light nuclei, the large nucleon-nucleon scattering lengths…

Nuclear Theory · Physics 2016-03-23 J. Kirscher , D. Gazit

We present a comprehensive theoretical study of low-energy few nucleon scattering for systems with $A\leq 4$. To this end, we utilize pionless effective field theory, which we employ at next-to-leading order. We show that at this level the…

Nuclear Theory · Physics 2023-06-09 Martin Schäfer , Betzalel Bazak

In chiral effective field theory the leading order (LO) nucleon-nucleon potential includes two contact terms, in the two spin channels $S=0,1$, and the one-pion-exchange potential. When the pion degrees of freedom are integrated out, as in…

Nuclear Theory · Physics 2017-03-08 A. Kievsky , M. Viviani , M. Gattobigio , L. Girlanda

Nuclear halos emerge as new degrees of freedom near the neutron and proton driplines. They consist of a core and one or a few nucleons which spend most of their time in the classically-forbidden region outside the range of the interaction.…

Nuclear Theory · Physics 2017-11-07 H. -W. Hammer , C. Ji , D. R. Phillips

We consider the non-relativistic four-boson system with short-range forces and large scattering length in an effective quantum mechanics approach. We construct the effective interaction potential at leading order in the large scattering…

Other Condensed Matter · Physics 2009-11-10 L. Platter , H. -W. Hammer , Ulf-G. Meißner

Nuclear processes involving momenta much below the mass of the pion may be described by an effective field theory in which the pions do not appear as explicit degrees of freedom. The effects of the pion and all other virtual hadrons are…

Nuclear Theory · Physics 2008-11-26 Jiunn-Wei Chen , Gautam Rupak , Martin J. Savage

Model-independent constraints for the neutron-triton and proton-Helium-3 scattering lengths are calculated with a leading-order interaction derived from an effective field theory without explicit pions. Using the singlet neutron-proton…

Nuclear Theory · Physics 2011-05-20 Johannes Kirscher

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 extend the ab initio no-core shell model/resonating-group method to include three-nucleon (3N) interactions for the description of nucleon-nucleus collisions. We outline the formalism, give algebraic expressions for the 3N-force…

We consider the non-relativistic four-body system with large scattering length and short-range interactions within an effective theory with contact interactions only. We compute the binding energies of the 4He tetramer and of…

Other Condensed Matter · Physics 2009-11-10 L. Platter

We show the system of a heavy charged particle and a neutral atom can be described by a low-energy effective field theory where the attractive $1/r^4$ induced dipole potential determines the long-distance/low-energy wave functions. The…

Nuclear Theory · Physics 2023-07-26 Daniel Odell , Daniel R. Phillips , Ubirajara van Kolck