Similarity renormalization group evolution of chiral effective nucleon-nucleon potentials in the subtracted kernel method approach

Journal Article · Tue Feb 15 00:00:00 EST 2011 · Annals of Physics (New York)

DOI:https://doi.org/10.1016/j.aop.2010.11.007· OSTI ID:21579852

Szpigel, S ^[1]; Timoteo, V S ^[2]; Duraes, F de O. ^[1]

---

1. Centro de Ciencias e Humanidades, Universidade Presbiteriana Mackenzie, 01302-907 Sao Paulo, SP (Brazil)
2. Faculdade de Tecnologia, Universidade Estadual de Campinas, 13484-332 Limeira, SP (Brazil)

Research Highlights: > We study the similarity renormalization group evolution of chiral NN potentials. > We evolve an effective potential derived using a subtractive renormalization scheme. > Unitarity of the SRG evolution is verified within the subtractive scheme. > High- and low-momentum components decouple for the SRG evolved potential. - Abstract: Methods based on Wilson's renormalization group have been successfully applied in the context of nuclear physics to analyze the scale dependence of effective nucleon-nucleon (NN) potentials, as well as to consistently integrate out the high-momentum components of phenomenological high-precision NN potentials in order to derive phase-shift equivalent softer forms, the so called V{sub low-k} potentials. An alternative renormalization group approach that has been applied in this context is the similarity renormalization group (SRG), which is based on a series of continuous unitary transformations that evolve hamiltonians with a cutoff on energy differences. In this work we study the SRG evolution of a leading order (LO) chiral effective NN potential in the {sup 1}S{sub 0} channel derived within the framework of the subtracted kernel method (SKM), a renormalization scheme based on a subtracted scattering equation.

• OSTI ID: 21579852
• Journal Information: Annals of Physics (New York), Vol. 326, Issue 2; Other Information: DOI: 10.1016/j.aop.2010.11.007; PII: S0003-4916(10)00196-X; Copyright (c) 2010 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; ISSN 0003-4916
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ACCURACY
CHIRALITY
FIELD THEORIES
HAMILTONIANS
KERNELS
NUCLEAR PHYSICS
NUCLEON-NUCLEON INTERACTIONS
NUCLEON-NUCLEON POTENTIAL
NUCLEONS
PHASE SHIFT
RENORMALIZATION
SCATTERING
TRANSFORMATIONS
UNITARITY
BARYON-BARYON INTERACTIONS
BARYONS
ELEMENTARY PARTICLES
FERMIONS
HADRON-HADRON INTERACTIONS
HADRONS
INTERACTIONS
MATHEMATICAL OPERATORS
PARTICLE INTERACTIONS
PARTICLE PROPERTIES
PHYSICS
POTENTIALS
QUANTUM OPERATORS