Improvement of variational approach in an interacting two-fermion system
Liu Yan-Xiaa), Ye Juna), Li Yuan-Yuana), Zhang Yun-Bo†a)
       
The ground state energies of the relative motion for two distinct fermions interacting via s -wave pseudopotential confined in an axially symmetric harmonic trap with angular frequency ω . The black dotted lines indicate energy levels of analytical results. (a) The blue curves represent the energy by using Bethe ansatz equation as constraint condition. (b) The red curves represent the energy by using constraint condition of the continuity of wave function derivative.