1302.7200 (Shung-Ichi Ando)

The Born series for $S$-wave quartet $nd$ scattering at small cutoff
values    [PDF]

Shung-Ichi Ando

Perturbative expansions, the Born series, of the scattering length and the amplitude of $S$-wave neutron-deuteron scattering for spin quartet channel below deuteron breakup threshold are studied in pionless effective field theory at small cutoff values. A three-body contact interaction is introduced when the integral equation is solved using the small cutoffs. After renormalizing the three-body interaction by using the scattering length, we expand the integral equation, as the Born series, around weak coupling limit and unitary limit. We find that the scattering length and the phase shift are considerably reproduced with a few terms of the Born series expanded around the unitary limit at the small cutoff values.

View original: http://arxiv.org/abs/1302.7200