Upper bounds for critical coupling constants for binding some quantum many-body systems
arXiv:2502.02616 · doi:10.1140/epjp/s13360-025-06470-2
Abstract
When particles interact via two-body short-range central potential wells, binding can occur for some critical values of the coupling constants. Using the envelope theory, upper bounds for critical coupling constants are computed for quantum nonrelativistic systems containing identical particles and systems containing identical particles plus a different one.
A new test with a large many-body system is added
References in corpus (18)
- Fractional Schrodinger equation
- Efimov Physics: a review
- Composite system in deformed space with minimal length
- Relativistic N-boson systems bound by pair potentials V(r_{ij}) = g(r_{ij}^2)
- The quantum N-body problem and the auxiliary field method
- HALL POST INEQUALITIES: review and application to molecules and tetraquarks
- Numerical tests of the envelope theory for few-boson systems
- Many-body forces with the envelope theory
- Improvement of the envelope theory with the dominantly orbital state method
- Duality relations in the auxiliary field method
- Hyperspherical harmonics expansion on Lagrange meshes for bosonic systems in one dimension
- Auxiliary field method and analytical solutions of the Schrödinger equation with exponential potentials
- Tests of the Envelope Theory in One Dimension
- Bound cyclic systems with the envelope theory
- Envelope Theory for Systems with Different Particles
- Two- and three-body calculations within the dominantly orbital state method
- The envelope theory as a pedagogical tool
- Tests of the envelope theory for three-body forces