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- E Epelbaum, W Glöckle, Ulf-G Meißner
- 2004

We consider the two–nucleon system at next-to-next-to-next-to-leading order (N 3 LO) in chiral effective field theory. The two–nucleon potential at N 3 LO consists of one-, two-and three-pion exchanges and a set of contact interactions with zero, two and four derivatives. In addition, one has to take into account various isospin–breaking and relativistic… (More)

- E Epelbaoum, W Glöckle
- 1998

We construct the two– and three–nucleon potential based on the most general chiral effective pion–nucleon Lagrangian using the method of unitary transformations. For that, we develop a power counting scheme consistent with this projection formalism. In contrast to previous results obtained in old–fashioned time–ordered perturbation theory, the method… (More)

- E Epelbaum, W Glöckle
- 2003

We study the two-pion exchange potential at next-to-next-to-leading order in chiral effective field theory. We propose a new cut–off scheme for the pion loop integrals based on spectral function regularization. We show that this method allows for a consistent implementation of constraints from pion–nucleon scattering. It leads to a much improved description… (More)

- E Epelbaum, W Glöckle, Ulf-G Meißner
- 2003

Recently we have proposed a new cut–off scheme for pion loop integrals in the two–pion exchange potential. This method allows for a consistent implementation of constraints from pion–nucleon scattering and has been successfully applied to peripheral nucleon–nucleon partial waves. We now consider low partial waves in the non–perturbative regime, where the… (More)

- E Epelbaum, Ulf-G Meißner, W Glöckle
- 2002

We investigate the behaviour of the nuclear forces as a function of the light quark masses (or, equivalently, pion mass) in the framework of chiral effective field theory at next-to-leading order. The nucleon–nucleon force is described in terms of one and two–pion exchange and local short distance operators, which depend explicitly and implicitly on the… (More)

- I Fachruddin, Ch Elster, W Glöckle
- 2008

Two-nucleon scattering at intermediate energies of a few hundred MeV requires quite a few angular momentum states in order to achieve convergence of e.g. scattering ob-servables. This is even more true for the scattering of three or more nucleons upon each other. An alternative approach to the conventional one, which is based on angular momentum… (More)

The inclusive and exclusive processes − − → 3 He(e, e ′) and − − → 3 He(e, e ′ n) have been theoretically analyzed and values for the magnetic and electric neutron form factors have been extracted. In both cases the form factor values agree well with the ones extracted from processes on the deuteron. Our results are based on Faddeev solutions, modern NN… (More)

- Ch Elster, T Lin, W N Polyzou, W Glöckle
- 2008

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 Poincaré invariant quantum mechanics. Based on a Malfliet-Tjon interaction, observables for elastic and breakup scattering are… (More)

- W N Polyzou, T Lin, W Glöckle
- 2008

The relativistic three-nucleon problem is formulated by constructing a dynamical unitary representation of the Poincaré group on the three-nucleon Hilbert space. Two-body interactions are included that preserve the Poincaré symmetry, lead to the same invariant two-body S-matrix as the corresponding non-relativistic problem, and result in a three-body… (More)

We solve the Faddeev equation in an exactly Poincaré invariant formulation of the three-nucleon problem. The dynamical input is a relativistic nucleon-nucleon (NN) interaction that is exactly on-shell equivalent to the high precision CD Bonn NN interaction. S-matrix cluster properties dictate how the two-body dynamics is embedded in the three-nucleon mass… (More)