Similarity Renormalization Group Evolution of Nucleon-Nucleon Interactions in the Subtracted Kernel Method Approach

2010 ◽  
Vol 199 (1) ◽  
pp. 215-218
Author(s):  
S. Szpigel ◽  
V.S. Timóteo ◽  
F.de O. Durães
Keyword(s):  
Renormalization Group ◽  
Kernel Method ◽  
Nucleon Nucleon ◽  
Similarity Renormalization Group ◽  
Group Evolution ◽  
Nucleon Interactions ◽  
Method Approach

SIMILARITY RENORMALIZATION GROUP EVOLUTION OF NUCLEAR FORCES

2011 ◽  
Vol 20 (supp02) ◽  
pp. 210-218
Author(s):  
SÉRGIO SZPIGEL ◽  
VARESE S. TIMÓTEO
Keyword(s):  
Renormalization Group ◽  
Effective Field Theory ◽  
Kernel Method ◽  
Nucleon Nucleon ◽  
Effective Field ◽  
Leading Order ◽  
Nuclear Forces ◽  
Chiral Effective Field Theory ◽  
Similarity Renormalization Group ◽  
Group Evolution

In this work we study the similarity renormalization group (SRG) evolution of chiral effective field theory (ChEFT) nucleon-nucleon (NN) interactions derived within the framework of the subtracted kernel method (SKM) approach. We apply the SRG transformation to evolve the leading-order (LO) ChEFT NN potential in the 1S0 and the 3S1-3D1 partial-wave channels and calculate the corresponding phase-shifts.

RENORMALIZATION TOOLS FOR THE NN INTERACTION

2010 ◽  
Vol 19 (08n10) ◽  
pp. 1679-1683 ◽  
Author(s):  
S. SZPIGEL ◽  
V. S. TIMÓTEO ◽  
F. O. DURÃES
Keyword(s):  
Field Theory ◽  
Renormalization Group ◽  
Effective Field Theory ◽  
Kernel Method ◽  
Nucleon Nucleon ◽  
Effective Field ◽  
Leading Order ◽  
Chiral Effective Field Theory ◽  
Similarity Renormalization Group

In this work we apply the similarity renormalization group (SRG) approach to evolve an effective nucleon–nucleon (NN) potential in leading-order (LO) chiral effective field theory (ChEFT). We present the results obtained for a NN potential in the 1S0 channel derived within the framework of the subtracted kernel method (SKM).

FIXED-POINT INTERACTIONS AND RENORMALIZATION GROUP INVARIANCE IN THE TWO-NUCLEON SYSTEM

2010 ◽  
Vol 19 (08n10) ◽  
pp. 1673-1678
Author(s):  
V. S. TIMÓTEO ◽  
S. SZPIGEL ◽  
F. O. DURÃES
Keyword(s):  
Fixed Point ◽  
Renormalization Group ◽  
Kernel Method ◽  
Nucleon Nucleon ◽  
Point Interaction ◽  
Effective Field ◽  
Point Interactions ◽  
Chiral Effective Field Theory ◽  
Group Invariance ◽  
Matrix Invariant

We study the fixed-point interactions and the renormalization group invariance for an effective nucleon–nucleon (NN) interaction in the leading-order (LO) chiral effective field theory (ChEFT) renormalized within the framework of the subtracted kernel method (SKM) approach. By solving a nonrelativistic Callan–Symanzik (NRCS) equation we show how the driving term evolves with the subtraction scale to keep the T-matrix invariant. We calculate the fixed-point interaction from the driving term and compare the results obtained with and without its evolution through the NRCS equation.

scholarly journals Structure ofp-shell nuclei using three-nucleon interactions evolved with the similarity renormalization group

2013 ◽  
Vol 87 (5) ◽  
Author(s):  
E. D. Jurgenson ◽  
P. Maris ◽  
R. J. Furnstahl ◽  
P. Navrátil ◽  
W. E. Ormand ◽  
...  
Keyword(s):  
Renormalization Group ◽  
Similarity Renormalization Group ◽  
Nucleon Interactions

scholarly journals Decoupling in the similarity renormalization group for nucleon-nucleon forces

2008 ◽  
Vol 78 (1) ◽  
Author(s):  
E. D. Jurgenson ◽  
S. K. Bogner ◽  
R. J. Furnstahl ◽  
R. J. Perry
Keyword(s):  
Renormalization Group ◽  
Nucleon Nucleon ◽  
Similarity Renormalization Group
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