The pion-three-nucleon problem with two-cluster connected-kernel equations
| dc.creator | Canton, L. | |
| dc.date | 1998-06-19 | |
| dc.date.accessioned | 2026-07-07T11:11:45Z | |
| dc.date.available | 2026-07-07T11:11:45Z | |
| dc.description | It is found that the coupled piNNN-NNN 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. It is shown how to formulate the pion-three-nucleon collision problem 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-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 a new approach which generalizes the commonly used techniques to describe the three-nucleon bound-state problem, where the meson degrees of freedom are usually suppressed. | |
| dc.description | 20 pages, REVTeX, with 3 COLOR figures (PostScript) | |
| dc.identifier | https://arxiv.org/abs/nucl-th/9806061 | |
| dc.identifier | http://arxiv.org/abs/nucl-th/9806061 | |
| dc.identifier | Phys.Rev.C58:3121-3142,1998 | |
| dc.identifier | doi:10.1103/PhysRevC.58.3121 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/191199 | |
| dc.subject | Nuclear Theory | |
| dc.title | The pion-three-nucleon problem with two-cluster connected-kernel equations | |
| dc.type | text |