The Born Series for S-wave Quartet nd Scattering at Small Cutoff Values

Quartet S Wave Neutron Deuteron Scattering in Effective Field Theory

The real and imaginary part of the quartet S wave phase shift in nd scattering (S3/2) for centre-of-mass momenta of up to 300 MeV (Ecm ≈ 70 MeV) is presented in effective field theory, using both perturbative pions and a theory in which pions are integrated out. As available, the calculation agrees with both experimental data and potential model calculations, but extends to a higher, so far unt...

Scattering Theory: Born Series

S-matrix for s-wave gravitational scattering

In the s-wave approximation the 4D Einstein gravity with scalar fields can be reduced to an effective 2D dilaton gravity coupled nonminimally to the matter fields. We study the leading order (tree level) vertices. The 4-particle matrix element is calculated explicitly. It is interpreted as scattering with formation of a virtual black hole state. As one novel feature we predict the gravitational...

A 2 Scattering Theory: Born Series

Convergence of 2-Body Effective Range Expansions for nd Quartet Scattering

We examine the convergence properties of the 2-nucleon Effective Range Expansion as used in Effective Theories (ET-ERE’s) for 3-nucleon calculations. We accomplish this by accounting for the 2-body dynamics with a simple rank-1 separable 2-body potential where the finite range effects can be incorporated systematically in both the 2and 3-body problems. We make our initial comparisons in the sim...