The stability of the relativistic three-body system and in-medium equations

Abstract

We present a relativistic three-body equation to study the stability of the isolated three-body system and the correlations in a medium of finite temperatures and densities. Relativity is implemented utilizing the light front form. Using a zero-range force we find the relativistic analog of the Thomas collapse and investigate the possibility that the nucleon exists as a Borromean system. Within a systematic Dyson equation approach we calculate the three-body Mott transition and the critical temperature of the color-superconducting phase.

Comments: 6 pp. Prepared for International Workshop on Critical Stability: Dynamics and Structure of Critically Stable Quantum Few-Body Systems, ECT* Trento, Italy 1-5 Sept. 2003