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

Journal Article · Tue Feb 15 04:00:00 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]

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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), Journal Name: Annals of Physics (New York) Journal Issue: 2 Vol. 326; ISSN 0003-4916; ISSN APNYA6
• Country of Publication: United States
• Language: English

Related Subjects

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