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Related papers: Two and Three Nucleons in a Trap and the Continuum…

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We consider the system of two interacting atoms confined in axially symmetric harmonic trap. Within the pseudopotential approximation, we solve the Schroedinger equation exactly, discussing the limits of quasi-one and quasi-two-dimensional…

Quantum Physics · Physics 2009-11-10 Z. Idziaszek , T. Calarco

We consider two-nucleon scattering close to threshold. Partial-wave amplitudes are obtained by an analytic extrapolation of subthreshold reaction amplitudes calculated in a relativistic formulation of chiral perturbation theory. The…

Nuclear Theory · Physics 2015-06-12 A. M. Gasparyan , M. F. M. Lutz , E. Epelbaum

A method is described for estimating effective scattering lengths via spectroscopy on a trapped pair of atoms. The method relies on the phenomena that the energy levels of two atoms in a harmonic trap are shifted by their collisional…

Quantum Physics · Physics 2009-11-11 S. Shresta , E. Tiesinga , C. J. Williams

We calculate higher order corrections for the three-nucleon system up to next-to-next-to-leading within an effective field theory with contact interactions alone. We employ a subtraction formalism previously developed and for which it has…

Nuclear Theory · Physics 2009-11-11 L. Platter

A variational technique to describe the ground and scattering states below the break-up threshold for a three-nucleon system is developed. The method consists in expanding the wave function in terms of correlated Harmonic Hyperspherical…

Nuclear Theory · Physics 2009-10-30 A. Kievsky , M. Viviani , S. Rosati

Nucleon-nucleon (NN) forces from chiral perturbation theory at next-to-leading (NLO) and next-to-next-to-leading order (NNLO) are applied to systems with two, three and four nucleons. At NNLO, we consider two versions of the chiral…

Nuclear Theory · Physics 2007-05-23 E. Epelbaum , A. Nogga , W. Gloeckle , H. Kamada , U. -G. Meissner , H. Witala

We apply the effective field theory approach to the three-nucleon system. In particular, we consider S=1/2 neutron-deuteron scattering and the triton. We show that in this channel a unique nonperturbative renormalization takes place which…

Nuclear Theory · Physics 2009-10-31 P. F. Bedaque , H. -W. Hammer , U. van Kolck

Two different aspects of the description of three- and four-nucleon systems are addressed. The use of bound state like wave functions to describe scattering states in $N-d$ collisions at low energies and the effects of some of the widely…

Nuclear Theory · Physics 2015-05-27 A. Kievsky

Nucleon-nucleon scattering in spin-triplet channels is analysed within an effective field theory where one-pion exchange is treated nonperturbatively. Justifying this requires the identification of an additional low-energy scale in the…

Nuclear Theory · Physics 2008-11-26 Michael C. Birse

Progress in the Effective Field Theory of two and three nucleon systems is sketched, concentrating mainly on the low energy version in which pions are integrated out as explicit degrees of freedom. Examples given are: the extraction of…

Nuclear Theory · Physics 2009-11-07 Harald W. Griesshammer

Recently developed chiral nucleon-nucleon (NN) forces at next-to-leading order (NLO) that describe NN phase shifts up to about 100 MeV fairly well have been applied to 3N and 4N systems. Faddeev-Yakubovsky equations have been solved…

Nuclear Theory · Physics 2009-11-06 E. Epelbaum , H. Kamada , A. Nogga , H. Witala , W. Glöckle , Ulf-G. Meißner

We employ interactions from chiral effective field theory and compute binding energies, excited states, and radii for isotopes of oxygen with the coupled-cluster method. Our calculation includes the effects of three-nucleon forces and of…

Nuclear Theory · Physics 2012-06-18 G. Hagen , M. Hjorth-Jensen , G. R. Jansen , R. Machleidt , T. Papenbrock

Recently the nucleon-nucleon interaction derived using time-ordered perturbation theory in manifestly Lorentz-invariant chiral effective field theory was shown to yield promising results for peripheral neutron-proton scattering. In this…

Nuclear Theory · Physics 2026-05-13 Xiu-Lei Ren , E. Epelbaum , J. Gegelia

We optimize the nucleon-nucleon interaction from chiral effective field theory at next-to-next- to-leading order. The resulting new chiral force NNLOopt yields \chi^2 \approx 1 per degree of freedom for laboratory energies below…

We derive density-dependent corrections to the in-medium nucleon-nucleon interaction from the leading-order chiral three-nucleon force. To this order there are six distinct one-loop diagrams contributing to the in-medium nucleon-nucleon…

Nuclear Theory · Physics 2010-04-06 J. W. Holt , N. Kaiser , W. Weise

We consider N atoms trapped in an isotropic harmonic potential, with s-wave interactions of infinite scattering length. In the zero-range limit, we obtain several exact analytical results: mapping between the trapped problem and the…

Other Condensed Matter · Physics 2016-08-16 Félix Werner , Yvan Castin

I discuss the dynamics of the two-nucleon system as obtained from a chiral nucleon-nucleon potential. This potential is based on a modified Weinberg power counting and contains chiral one- and two-pion exchange as well as four-nucleon…

Nuclear Theory · Physics 2011-04-15 Ulf-G. Meißner

In this work the elastic scattering of two nucleons is calculated in chiral effective field theory at next-to-leading order taking into account the coupled N$\Delta$-, $\Delta$N- and $\Delta\Delta$-channels. To solve the coupled channel…

Nuclear Theory · Physics 2020-08-28 Susanne Strohmeier , Norbert Kaiser

Neutrino-nucleus elastic scattering is reduced in dense matter because of correlations between ions. The static structure factor for a plasma of electrons and ions is calculated from Monte Carlo simulations and parameterized with a least…

Astrophysics · Physics 2016-08-24 C. J. Horowitz

We elaborate on a new technique for computing properties of nucleon-nucleon interactions in terms of an effective field theory derived from low energy NN scattering data. Details of how the expansion is carried out to higher orders are…

Nuclear Theory · Physics 2009-10-31 David B. Kaplan , Martin J. Savage , Mark B. Wise