The subtracted kernel method is implemented recursively to solve scattering equations for the 1 S 0 phase-shifts considering the leading and the next-to-leading order NN interaction.
Renormalizing the NN interaction with multiple subtractions
✍ Scribed by V.S. Timóteo; T. Frederico; A. Delfino; L. Tomio; S. Szpigel; F.O. Durães
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 263 KB
- Volume
- 199
- Category
- Article
- ISSN
- 0920-5632
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✦ Synopsis
The aim of this work is to show how to renormalize the nucleon-nucleon interaction at next-to-next-to-leading order using a systematic subtractive renormalization approach with multiple subtractions. As an example, we calculate the phase shifts for the partial waves with total angular momentum J = 2. The intermediate driving terms at each recursive step as well as the renormalized T-matrix are also shown. We conclude that our method is reliable for singular potentials such as the two-pion exchange and derivative contact interactions.
📜 SIMILAR VOLUMES
In this work we study the Similarity Renormalization Group (SRG) evolution of effective nucleon-nucleon (NN) interactions derived using the Subtracted Kernel Method (SKM) approach. We present the results for the phaseshifts in the 1 S 0 channel calculated using a SRG potential evolved from an initia
## Abstract It is well‐established that renormalized solutions of the Boltzmann equation enjoy some kind of regularity, or at least compactness, in the velocity variable when the angular collision kernel is nonintegrable. However, obtaining explicit estimates in convenient and natural functional se