Abstract
In order to implement the power counting obtained in the Wilsonian renormalization group (WRG) analysis of nuclear effective field theory (NEFT) including pions, we propose a practical calculational scheme in which the short-distance part of one-pion exchange (S-OPE) is removed and represented as contact terms. A distinctive feature of our scheme is that two regularization schemes are used in combination. The dimensional regularization (DR) is used for diagrams consisting only of contact interactions and a momentum cutoff is implemented for diagrams con-taining the long-distance part of one pion exchange (L-OPE) by introducing a Gaussian damping factor(GDF). The sole purpose of the use of the dimensional regularization is that it considerably simplifies the treatment of nonperturbative part of the scattering amplitude. In the calculation the L-OPE is treated as perturbation and a part of the S-OPE is treated nonperturbatively along with a contact interaction without derivative nonperturbatively. We show the results of the next-To-next-to-leading order(NNLO) calculations for nucleon-nucleon elastic scattering in the S-waves that are fitted to Nijmegen partial wave analysis data.
| Original language | English |
|---|---|
| Journal | Proceedings of Science |
| Publication status | Published - Jan 1 2013 |
| Event | 15th International Conference on Hadron Spectroscopy, Hadron 2013 - Nara, Japan Duration: Nov 4 2013 → Nov 8 2013 |
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All Science Journal Classification (ASJC) codes
- General
Cite this
Converging low energy expansion of nucleon-nucleon scattering based on the Wilsonian renormalization group analysis. / Kubo, Hirofumi; Harada, Koji; Sakaeda, Tatsuya; Yamamoto, Yuki.
In: Proceedings of Science, 01.01.2013.Research output: Contribution to journal › Conference article
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TY - JOUR
T1 - Converging low energy expansion of nucleon-nucleon scattering based on the Wilsonian renormalization group analysis
AU - Kubo, Hirofumi
AU - Harada, Koji
AU - Sakaeda, Tatsuya
AU - Yamamoto, Yuki
PY - 2013/1/1
Y1 - 2013/1/1
N2 - In order to implement the power counting obtained in the Wilsonian renormalization group (WRG) analysis of nuclear effective field theory (NEFT) including pions, we propose a practical calculational scheme in which the short-distance part of one-pion exchange (S-OPE) is removed and represented as contact terms. A distinctive feature of our scheme is that two regularization schemes are used in combination. The dimensional regularization (DR) is used for diagrams consisting only of contact interactions and a momentum cutoff is implemented for diagrams con-taining the long-distance part of one pion exchange (L-OPE) by introducing a Gaussian damping factor(GDF). The sole purpose of the use of the dimensional regularization is that it considerably simplifies the treatment of nonperturbative part of the scattering amplitude. In the calculation the L-OPE is treated as perturbation and a part of the S-OPE is treated nonperturbatively along with a contact interaction without derivative nonperturbatively. We show the results of the next-To-next-to-leading order(NNLO) calculations for nucleon-nucleon elastic scattering in the S-waves that are fitted to Nijmegen partial wave analysis data.
AB - In order to implement the power counting obtained in the Wilsonian renormalization group (WRG) analysis of nuclear effective field theory (NEFT) including pions, we propose a practical calculational scheme in which the short-distance part of one-pion exchange (S-OPE) is removed and represented as contact terms. A distinctive feature of our scheme is that two regularization schemes are used in combination. The dimensional regularization (DR) is used for diagrams consisting only of contact interactions and a momentum cutoff is implemented for diagrams con-taining the long-distance part of one pion exchange (L-OPE) by introducing a Gaussian damping factor(GDF). The sole purpose of the use of the dimensional regularization is that it considerably simplifies the treatment of nonperturbative part of the scattering amplitude. In the calculation the L-OPE is treated as perturbation and a part of the S-OPE is treated nonperturbatively along with a contact interaction without derivative nonperturbatively. We show the results of the next-To-next-to-leading order(NNLO) calculations for nucleon-nucleon elastic scattering in the S-waves that are fitted to Nijmegen partial wave analysis data.
UR - http://www.scopus.com/inward/record.url?scp=85019507550&partnerID=8YFLogxK
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M3 - Conference article
AN - SCOPUS:85019507550
JO - Proceedings of Science
JF - Proceedings of Science
SN - 1824-8039
ER -