Physics – Nuclear Physics – Nuclear Theory
Scientific paper
1998-08-03
Phys.Lett. B440 (1998) 233-238
Physics
Nuclear Physics
Nuclear Theory
6 pages; replaced version has corrected typos (We thank Mike Birse for pointing them out to us
Scientific paper
10.1016/S0370-2693(98)01180-0
An analytic expression for the ${}^1S_0$ phase shifts in nucleon-nucleon scattering is derived in the context of the Schr\"odinger equation in configuration space with a short distance cutoff and with a consistent power counting scheme including pionic effects. The scheme treats the pion mass and the inverse scattering length over the intrinsic short distance scale as small parameters. Working at next-to-leading order in this scheme, we show that the expression obtained is identical to one obtained using the recently introduced PDS approach which is based on dimensional regularization with a novel subtraction scheme. This strongly supports the conjecture that the schemes are equivalent provided one works to the same order in the power counting.
Cohen Thomas D. .
Hansen James M.
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