1998/06/19 by L. Canton · 2 citations
Physics and Astronomy · #Atomic and Molecular Physics #Nuclear physics research studies #Quantum Chromodynamics and Particle Interactions #nucl-th
paper · pdf · doi:10.1103/physrevc.58.3121
published as Phys.Rev.C58:3121-3142,1998 · 20 pages, REVTeX, with 3 COLOR figures (PostScript)
arxiv created 1998/06/19 · openalex publication_date 1998/12/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A new set of integral equations for the coupled \ensuremathπNNN\ensuremath-NNN problem is obtained starting from the observation that this system breaks into fragments in a nontrivial way. Assuming the particles as distinguishable, there are indeed four modes of fragmentation into two clusters, while in the standard three-body problem there are three possible two-cluster partitions and conversely the four-body problem has seven different possibilities. The pion-three-nucleon collision problem is formulated through the integral-equation approach by taking into account the proper fragmentation of the system. The final result does not depend on the assumption of separability of the two-body t matrices. Then, the quasiparticle method \`a la Grassberger and Sandhas is applied and effective two-cluster connected-kernel equations are obtained. The corresponding bound-state problem is also formulated, and the resulting homogeneous equation provides an approach which generalizes the commonly used approaches via 3N Hamiltonians (where the meson degrees of freedom are usually suppressed) to describe the three-nucleon bound-state problem.