Doublet channel neutron-deuteron scattering in leading order effective field theory

The doublet channel neutron-deuteron scattering amplitude is calculated in leading order effective field theory (EFT). It is shown that this amplitude does not depend on a constant contact interaction three-body force. Satisfactory agreement with available data is obtained when only two-body forces are included.Comment: Conference talk (Gegelia) at "Mesons & Light Nuclei '01" Prague, Czech Republic, 2-6 July, 2001, 5 pages, RevTe

In-matter three-body problem

We formulate three-dimensional equations for the finite temperature in-matter three-body problem. Our approach takes into account the full infinite series for the effective pair-interaction kernel, so that all possible two-body sub-processes allowed by the underlying Hamiltonian are retained.Comment: 5 pages, contribution to The 16th National Congress 2005 - Australian Institute of Physic

On the Wilsonian renormalization group equation for nuclear current operators

We present the solution to the recently derived Wilsonian renormalization group (RG) equation for nuclear current operators. In order to eliminate the present ambiguity in the RG equation itself, we introduce a new condition specifying the cutoff independence of the five point Green function corresponding to the two-body propagator with current operator insertion. The resulting effective current operator is then shown to obey a modified Ward-Takahashi identity which differs from the usual one, but that nevertheless leads to current conservation.Comment: 12 page