Matthew P. Dorsten, The Ohio State University 

Title: Nucleon-Nucleon Effective Field Theory in Momentum-Space 

Authors: M.P. Dorsten, R. Furnstahl (Ohio State University) 

Abstract: Nucleon-nucleon effective field theory with cutoff regularization is analyzed in both coordinate-space and momentum-space.  Although they are not included in this work, pion contributions appear to be relatively easy to add using the methods shown here.  Well-studied coordinate-space results are reproduced using a Mathematica notebook to solve the variable phase equation for the phase shift.  This is a more transparent and self-contained treatment than conventional programming techniques, although speed is sacrificed.  A new parallel treatment in momentum-space is used as a check of the coordinate-space results.  Because the Lippmann-Schwinger equation is an integral equation in momentum-space, a numerical integral equation solver is necessary.  A robust solver with a systematic numerical error is developed using a matrix inversion technique executed by a computer program written in both C and FORTRAN.  That the results exhibit the systematic error of the effective field theory more clearly than do the coordinate-space results is a success of this approach.  This new momentum-space technique may be the most convenient and precise alternative for several future projects: nuclear matter, higher angular momentum scattering, and pion contributions.