Theory of mesonic and dibaryonic excitations in the. pi. NN system: Derivation of. pi. NN scattering equations

Journal Article · Thu Aug 01 00:00:00 EDT 1985 · Phys. Rev. C; (United States)

DOI:https://doi.org/10.1103/PhysRevC.32.516· OSTI ID:5409675

Lee, T H; Matsuyama, A

A ..pi..NN theory, incorporating mesonic and dibaryonic excitation mechanisms, is introduced to give a unified description of NN and ..pi..d reactions. The mesonic mechanism is built into the theory by extending the conventional meson theory of nuclear force to include the isobar ..delta.. excitation. The dibaryonic excitation at short distance is introduced according to current understanding of six-quark dynamics. The theory is free of the nucleon mass renormalization problem and is therefore tractable in practice. The model Hamiltonian consists of (a) V/sub B/B for two-baryon interactions between NN, N..delta.., and ..delta delta.. states; (b) h/sub piNbold-arrow-left-rightDelta/ for ..delta.. excitation; (c) v/sub piN/ for ..pi..N two-body interaction in nonresonant channels; (d) F/sub piNNbold-arrow-left-rightNN/ for nonresonant pion production; and (e) H/sub D/bold-arrow-left-rightBB for the formation of a dibaryon state D. Dynamical equations for NN and ..pi..d scattering are derived by making the assumption that all NN and ..pi..d processes can be described in a subspace spanned by NN, N..delta.., ..delta delta.., ..pi..NN, and the dibaryon state D. The resulting scattering theory satisfies the essential two-body (NN) and three-body (..pi..NN) unitarity relations. The projection technique is applied to cast the theory into a form such that all NN and ..pi..d reaction transition matrix elements can be calculated by solving, separately, a two-body integral equation and a Faddeev-type three-body equation. Both can be solved by well-established numerical methods. This makes the calculation based on the most sophisticated meson theory of nuclear force possible.

• Research Organization: Argonne National Laboratory, Argonne, Illinois 60439
• DOE Contract Number: W-31109-ENG-38
• OSTI ID: 5409675
• Journal Information: Phys. Rev. C; (United States), Journal Name: Phys. Rev. C; (United States) Vol. 32:2; ISSN PRVCA
• Country of Publication: United States
• Language: English

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BARYON-BARYON INTERACTIONS
BARYONS
BOSON-EXCHANGE MODELS
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ELEMENTARY PARTICLES
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NUCLEAR FORCES
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OBE MODEL
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