The few-body universality is not exact for more than three particles

2012/11/02 by D. K. Gridnev, Dmitry K. Gridnev, Gridnev, Dmitry K.
Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Noncommutative and Quantum Gravity Theories #Quantum Mechanics and Applications #math-ph #math.MP

paper · pdf · doi:10.48550/arxiv.1211.0433

arxiv created 2012/11/02 · arxiv updated 2012/11/05

Abstract

In the literature it is conjectured that the ground state energies of three and four bosons are universally related for all pair-interactions given that two bosons have a zero energy resonance and no negative energy bound states. Here it is proved analytically that such relation cannot be exact.

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