3D reduction of the three-fermion Bethe-Salpeter equation
J. Bijtebier
TL;DR
This paper introduces a covariantly separable three-dimensional approximation of the three-fermion Bethe-Salpeter equation, ensuring accurate two-fermion limits and preventing continuum dissolution.
Contribution
It presents a novel 3D covariant approximation that maintains cluster separability and includes positive energy projectors to improve stability.
Findings
The 3D equation reproduces two-fermion Bethe-Salpeter equations exactly.
The approach avoids continuum dissolution issues.
The method ensures covariant cluster separability.
Abstract
We present a 3D approximation of the three-fermion Bethe-Salpeter equation. Our 3D equation is covariantly cluster separable and the two-fermion cluster separated limits are exact equivalents of the corresponding two-fermion Bethe-Salpeter equations. The potentials include positive free energy projectors in order to avoid continuum dissolution.
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Taxonomy
TopicsCold Atom Physics and Bose-Einstein Condensates · Physics of Superconductivity and Magnetism · Quantum many-body systems