p-wave phase shift and scattering length of ${}^6$Li

Abstract

We have calculated the p-wave phase shifts and scattering length of ${}^6$Li. For this we solve the $p$ partial wave Schrödinger equation and analyze the validity of adopting the semiclassical solution to evaluate the constant factors in the solution. Unlike in the $s$ wave case, the semiclassical solution does not provide unique value of the constants. We suggest an approximate analytic solution, which provides reliable results in special cases. Further more, we also use the variable phase method to evaluate the phase shifts. The p-wave scattering lengths of ${}^{132}$Cs and ${}^{134}$Cs are calculated to validate the schemes followed. Based on our calculations, the value of the $p$ wave scattering length of ${}^6$Li is $-45a_o$.

10 figures

References in corpus (8)

• Vortices and Superfluidity in a Strongly Interacting Fermi Gas
• Collective excitations of a degenerate gas at the BEC-BCS crossover
• Phase diagram of a two-component Fermi gas with resonant interactions
• Quantum degenerate two-species Fermi-Fermi mixture coexisting with a Bose-Einstein condensate
• Finite temperature phase diagram of a polarised Fermi condensate
• Polarized Fermi condensates with unequal masses: Tuning the tricritical point
• The variable phase method used to calculate and correct scattering lengths
• Scattering parameters for cold-Li-Rb and Na-Rb collisions derived from variable phase theory

Cited by in corpus (2)

• Experimental Determination of p-wave Scattering Parameters in ultracold 6Li atoms
• Spin-polarized fermions with $p$-wave interactions