The helium trimer with soft-core potentials

Abstract

The helium trimer is studied using two- and three-body soft-core potentials. Realistic helium-helium potentials present an extremely strong short-range repulsion and support a single, very shallow, bound state. The description of systems with more than two helium atoms is difficult due to the very large cancellation between kinetic and potential energy. We analyze the possibility of describing the three helium system in the ultracold regime using a gaussian representation of a widely used realistic potential, the LM2M2 interaction. However, in order to describe correctly the trimer ground state a three-body force has to be added to the gaussian interaction. With this potential model the two bound states of the trimer and the low energy scattering helium-dimer phase shifts obtained with the LM2M2 potential are well reproduced.

15 pages, 3 figures, submitted to Few-Body Systems

References in corpus (3)

• Adiabatic hyperspherical study of triatomic helium systems
• General integral relations for the description of scattering states using the hyperspherical adiabatic basis
• Three-Nucleon Continuum by means of the Hyperspherical Adiabatic Method

Cited by in corpus (22)

• Self-consistent Green's functions formalism with three-body interactions
• Spectra of helium clusters with up to six atoms using soft core potentials
• Energy spectra of small bosonic clusters having a large two-body scattering length
• Correlations imposed by the unitary limit between few-nucleon systems, nuclear matter and neutron stars
• Universality and scaling in the $N$-body sector of Efimov physics
• Effective Field Theory Analysis of Three-Boson Systems at Next-To-Next-To-Leading Order
• Universality and the three-body parameter of helium-4 trimers
• Universal nature and finite-range corrections in elastic atom-dimer scattering below the dimer breakup threshold
• $N$-boson spectrum from a Discrete Scale Invariance
• Matching universal behavior with potential models
• Momentum-space calculation of ${}^4$He triatomic system with realistic potential
• Universal range corrections to the Efimov trimer for a class of paths to the unitary limit
• Saturation properties of helium drops from a Leading Order description
• Recombination rates from potential models close to the unitary limit
• Integral relations and the adiabatic expansion method for 1+2 reactions above the breakup threshold: Helium trimers with soft-core potentials
• Neutron${-}^{19}$C scattering: emergence of universal properties in a finite range potential
• Six-bodies calculations using the Hyperspherical Harmonics method
• Efimov Physics in small bosonic clusters
• Investigation of ${}^{23}$N in a three-body model
• Universal behavior of few-boson systems using potential models
• Four-Body Systems at Large Cutoffs in Effective Field Theory
• Accurate Helium-Benzene Potential: from CCSD(T) to Gaussian Process Regression