Up-down quark mass difference: Couplings of pions to nucleons or isobars and low-energy nucleon-nucleon scattering
Journal Article
·
· Phys. Rev. C; (United States)
We investigate effects of the up-down quark mass difference on the couplings of pions to nucleons or isobars. The calculated ..pi..NN and ..pi..N..delta.. couplings are used to derive the long-range one-pion-exchange potential and the intermediate-range attraction for the three different cases: p-p, p n-p, and n-n. The resultant potentials are then used to determine numerically the low-energy scattering parameters, including both the scattering length a and the effective range r. Our results indicate that a reasonable up-down quark mass difference such as 10 MeV yields a value for Vertical Bara/sub pp/Vertical Bar-Vertical Bara/sub nn/Vertical Bar of about +0.6 fm, which is sizable from the experimental point of view. Our results also suggest that the large observed value for Vertical Bara/sub np/Vertical Bar-Vertical Bara/sub nn/Vertical Bar can be understood primarily as a manifestation of the pion mass difference.
- Research Organization:
- Indiana University Cyclotron Facility and Nuclear Theory Center, Department of Physics, Indiana University, Bloomington, Indiana 47405
- OSTI ID:
- 5198803
- Journal Information:
- Phys. Rev. C; (United States), Journal Name: Phys. Rev. C; (United States) Vol. 29:1; ISSN PRVCA
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
645207* -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- Strong Interactions
Baryon No. Greater than 1-- (-1987)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BAG MODEL
BARYON-BARYON INTERACTIONS
CHARGE DISTRIBUTION
CHIRAL SYMMETRY
COMPOSITE MODELS
DIMENSIONS
ELEMENTARY PARTICLES
EXTENDED PARTICLE MODEL
FIELD THEORIES
HADRON-HADRON INTERACTIONS
INTERACTIONS
ISOBARIC NUCLEI
LENGTH
MASS DIFFERENCE
MATHEMATICAL MODELS
NUCLEI
NUCLEON-NUCLEON INTERACTIONS
OPE POTENTIAL
PARTICLE INTERACTIONS
PARTICLE MODELS
PARTICLE PROPERTIES
POSTULATED PARTICLES
POTENTIALS
QUANTUM CHROMODYNAMICS
QUANTUM FIELD THEORY
QUARK MODEL
QUARKS
SCATTERING LENGTHS
SYMMETRY
SYMMETRY BREAKING
Baryon No. Greater than 1-- (-1987)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BAG MODEL
BARYON-BARYON INTERACTIONS
CHARGE DISTRIBUTION
CHIRAL SYMMETRY
COMPOSITE MODELS
DIMENSIONS
ELEMENTARY PARTICLES
EXTENDED PARTICLE MODEL
FIELD THEORIES
HADRON-HADRON INTERACTIONS
INTERACTIONS
ISOBARIC NUCLEI
LENGTH
MASS DIFFERENCE
MATHEMATICAL MODELS
NUCLEI
NUCLEON-NUCLEON INTERACTIONS
OPE POTENTIAL
PARTICLE INTERACTIONS
PARTICLE MODELS
PARTICLE PROPERTIES
POSTULATED PARTICLES
POTENTIALS
QUANTUM CHROMODYNAMICS
QUANTUM FIELD THEORY
QUARK MODEL
QUARKS
SCATTERING LENGTHS
SYMMETRY
SYMMETRY BREAKING