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Relaxation processes and reaction kinetics of proteins deviate from exponential behavior because of their large amount of conformational substrates. The dynamics are governed by many time scales and, therefore, the decay of the relaxation function or reactant concentration is slower than exponential. Applying the idea of self-similar dynamics, we derive a… (More)

- 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)

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)

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)

- T. Lin, W. Polyzou, W. Glöckle
- 2007

Relativistic Faddeev equations for three-body scattering at arbitrary energies are formulated in momentum space and in first order in the two-body transition-operator directly solved in terms of momentum vectors without employing a partial wave decomposition. Relativistic invariance is incorporated within the framework of Poincaré invariant quantum… (More)

We substantiate our statement that the deuteron remains bound in the chiral limit. We critically discuss recent claims that effective field theory cannot give a definite answer to this question.

A recently developed helicity basis for nucleon-nucleon (NN) scattering is applied to the deuteron bound state. Here the total spin of the deuteron is treated in such a helicity representation. For the bound state, two sets of two coupled eigenvalue equations are developed, where the amplitudes depend on two and one variable, respectively. Numerical… (More)

- E Epelbaum, W Glöckle
- 2000

We employ the chiral nucleon–nucleon potential derived in ref.[1] to study bound and scattering states in the two–nucleon system. At next–to–leading order, this potential is the sum of renor-malized one–pion and two–pion exchange and contact interactions. At next–to–next–to-leading order, we have additional chiral two–pion exchange with low–energy constants… (More)

The Faddeev equation for three-body scattering below the three-body breakup threshold is directly solved without employing a partial wave decomposition. In the simplest form it is a three-dimensional integral equation in four variables. From its solution the scattering amplitude is obtained as function of vector Jacobi momenta. Based on Malfliet-Tjon type… (More)

The Faddeev equations for the three body bound state are solved directly as three dimensional integral equation without employing partial wave decomposition. The numerical stability of the algorithm is demonstrated. The three body binding energy is calculated for Malfliet-Tjon type potentials and compared with results obtained from calculations based on… (More)