[Submitted on 22 Jun 2018]
Lattice calculations for two-component fermion systems with unequal masses: one dimension
We consider systems of two-component fermions with unequal masses and interacting via a short-range attractive potential. We discuss the case where the two-component fermions form a shallow dimer with large scattering length. The three-fermion and four-fermion systems with such properties are universal and charazteried by the two-fermion scattering length and the ratio of the mass of spin- fermion to the mass of spin- fermion, . In this study using lattice effective field theory we analyze fermion-dimer and dimer-dimer systems, and calculate the universal fermion-dimer and dimer-dimer scattering lengths for various values of the mass ratio . We find that these universal scattering lengths increase logarithmically with the mass ratio .
- Comments:
- 11 pages, 8 figures. Submitted to Turkish Journal of Physics
- Subjects:
- Nuclear Theory (nucl-th); Quantum Gases (cond-mat.quant-gas); High Energy Physics — Lattice (hep-lat); Atomic Physics (physics.atom-ph)
- arXiv:
- 1806.08591 [pdf]