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Subtractive renormalization of the NN interaction in chiral effective theory up to next-to-next-to-leading order: S waves by Yang, C. -J.; Elster, Ch.; Phillips, D. R. is a scholarly article available to read on EtoBox.
What is Subtractive renormalization of the NN interaction in chiral effective theory up to next-to-next-to-leading order: S waves about?
We extend our subtractive-renormalization method in order to evaluate the 1S0 and 3S1-3D1 NN scattering phase shifts up to next-to-next-to-leading order (NNLO) in chiral effective theory. We show that, if energy-dependent contact terms are employed in the NN potential, the 1S0 phase shift can be obtained by carrying out two subtractions on the Lippmann-Schwinger equation. These subtractions use knowledge of the the scattering length and the 1S0 phase shift at a specific energy to eliminate the low-energy constants in the contact interaction from the scattering equation. For the J=1 coupled channel, a similar renormalization can be achieved by three subtractions that employ knowledge of the 3S1 scattering length, the 3S1 phase shift at a specific energy and the 3S1-3D1 generalized scattering length. In both channels a similar method can be applied to a potential with momentum-dependent contact terms, except that in that case one of the subtractions must be replaced by a fit to one piece of experimental data. This method allows the use of arbitrarily high cutoffs in the Lippmann-Schwinger equation. We examine the NNLO S-wave phase shifts for cutoffs as large as 5 GeV and show that th
- Author
- Yang, C. -J.; Elster, Ch.; Phillips, D. R.
- Published
- 2009
- Language
- EN
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