- Turkish Journal of Physics
- Vol: 42 Issue: 6
- Lattice calculations for two-component fermion systems with unequal masses: one dimension
Lattice calculations for two-component fermion systems with unequal masses: one dimension
Authors : Serdar Elhatisari
Pages : 631-640
View : 11 | Download : 6
Publication Date : 9999-12-31
Article Type : Makaleler
Abstract : 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 characterized by the twofermion scattering length a ff and the ratio of the mass of spin-↑ fermion to the mass of spin-↓ fermion, m ↑ /m ↓ . 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 m ↑ /m ↓ . We find that these universal scattering lengths increase logarithmically with the mass ratio m ↑ /m ↓ .Keywords : Lattice effective field theory, scattering phase shifts, universality