MathDB3 problems
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Reciprocal conjecture for stability of four-body systems
Let a four-body system be a quantum-mechanical system of four constituents, and call a subsystem stable if it is bound. A four-body system has a stable three-body subsystem when at…
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Loss of algebraic solvability for multicomponent few-body systems
Let a multicomponent few-body system consist of particles interacting through two-body interactions, and consider its spectrum in the weak-interaction limit, where two-body matrix…
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Universal relation between three- and four-boson ground-state energies
Consider bosons interacting through pair potentials, and suppose that the two-boson subsystem has a zero-energy resonance and no negative-energy bound states. Universal three- and…