Three-Nucleon Interactions and Nuclear Matter
Feb, 1976
32 pages
Published in:
- Nucl.Phys.A 285 (1977) 429-460
- Published: 1977
Report number:
- OUAM-76-2-3
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Abstract: (Elsevier)
We derive the three-nucleon potentials due to π, S (isoscalar-scalar-meson) and ω, which are exchanged between two nucléons via the third nucleon. The off-mass-shell πN amplitude needed for the calculation is constructed on the basis of the chiral invariance and the πN scattering data. Uncertainties caused by the uncertainties inherent in boson-vertices are considerably reduced by requiring that the three-nucleon potentials due to S and ω become the same as the one-S and one-ω exchange two-nucleon potentials, respectively, if the interactions of S and ω with the third nucleon are switched off. We calculate the binding energy per nucleon in nuclear matter using the three-nucleon potentials thus obtained with the two-nucleon OBEP of Ueda and Green (UGI), and find 0.4, 4.3 and −1. 3MeV at k F = 1.4 fm −1 for the net contributions from the three-nucleon potentials due to π, S and ω, respectively. The sum of the two- and three-nucleon potentials gives approximately correct binding energy at the normal density. However, its density dependence is such that it produces overbinding at higher density. A suggestion for removing this difficulty is made.- THREE-BODY PROBLEM: NUCLEON
- THREE-BODY PROBLEM: POTENTIAL
- DUALITY
- THREE-BODY PROBLEM: COUPLING
- COUPLING: THREE-BODY PROBLEM
- PI NUCLEON: SCATTERING AMPLITUDE
- SCATTERING AMPLITUDE: PI NUCLEON
- EXCHANGE: SCALAR MESON
- EXCHANGE: PI
- EXCHANGE: OMEGA(784)
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