Renormalized. pi. NN coupling constant and the P-italic-wave phase shifts in the cloudy bag model
Journal Article
·
· Phys. Rev. C; (United States)
Most applications of the cloudy bag model to ..pi..N scattering involve unitarizing the bare diagrams arising from the Lagrangian by iterating in a Lippmann-Schwinger equation. However, analyses of the renormalization of the coupling constant proceed by iterating the Lagrangian to a given order in the bare coupling constant. These two different approaches means there is an inconsistency between the calculation of phase shifts and the calculation of renormalization. A remedy to this problem is presented that has the added advantage of improving the fit to the phase shifts in the P-italic/sub 11/ channel. This is achieved by using physical values of the coupling constant in the crossed diagram which reduces the repulsion rather than adds attraction. This approach can be justified by examining equations for the ..pi pi..N system that incorporate three-body unitarity.
- Research Organization:
- School of Physical Sciences, The Flinders University of South Australia, Bedford Park, South Australia 5042, Australia
- OSTI ID:
- 5108052
- Journal Information:
- Phys. Rev. C; (United States), Journal Name: Phys. Rev. C; (United States) Vol. 34:3; ISSN PRVCA
- Country of Publication:
- United States
- Language:
- English
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Sat Jan 31 23:00:00 EST 1987
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OSTI ID:6924634
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· Physical Review, C (Nuclear Physics); (United States)
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Fri Mar 31 23:00:00 EST 1995
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OSTI ID:6474719
Related Subjects
645206* -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- Strong Interactions
Baryon No. = 1-- (-1987)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BAG MODEL
BARYON-BARYON INTERACTIONS
COMPOSITE MODELS
COUPLING CONSTANTS
EQUATIONS
EXTENDED PARTICLE MODEL
FUNCTIONS
HADRON-HADRON INTERACTIONS
INTEGRAL EQUATIONS
INTERACTIONS
LAGRANGIAN FUNCTION
LIPPMANN-SCHWINGER EQUATION
MANY-BODY PROBLEM
MATHEMATICAL MODELS
MESON-BARYON INTERACTIONS
MESON-NUCLEON INTERACTIONS
NUCLEON-NUCLEON INTERACTIONS
P WAVES
PARTIAL WAVES
PARTICLE INTERACTIONS
PARTICLE MODELS
PHASE SHIFT
PION-NUCLEON INTERACTIONS
QUARK MODEL
RENORMALIZATION
THREE-BODY PROBLEM
UNITARITY
Baryon No. = 1-- (-1987)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BAG MODEL
BARYON-BARYON INTERACTIONS
COMPOSITE MODELS
COUPLING CONSTANTS
EQUATIONS
EXTENDED PARTICLE MODEL
FUNCTIONS
HADRON-HADRON INTERACTIONS
INTEGRAL EQUATIONS
INTERACTIONS
LAGRANGIAN FUNCTION
LIPPMANN-SCHWINGER EQUATION
MANY-BODY PROBLEM
MATHEMATICAL MODELS
MESON-BARYON INTERACTIONS
MESON-NUCLEON INTERACTIONS
NUCLEON-NUCLEON INTERACTIONS
P WAVES
PARTIAL WAVES
PARTICLE INTERACTIONS
PARTICLE MODELS
PHASE SHIFT
PION-NUCLEON INTERACTIONS
QUARK MODEL
RENORMALIZATION
THREE-BODY PROBLEM
UNITARITY