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We have calculated the p-wave phase shifts and scattering length of $^6$Li.For this we solve the $p$ partial wave Schr\"odinger equation and analyze thevalidity of adopting the semiclassical solution to evaluate the constantfactors in the solution. Unlike in the $s$ wave case, the semiclassicalsolution does not provide unique value of the constants. We suggest anapproximate analytic solution, which provides reliable results in specialcases. Further more, we also use the variable phase method to evaluate thephase shifts. The p-wave scattering lengths of $^{132}$Cs and $^{134}$Cs arecalculated to validate the schemes followed. Based on our calculations, thevalue of the $p$ wave scattering length of $^6$Li is $-45a_o$.

the european physical journal. d, atomic, molecular and optical physics/the european physical journal. d, atomic, molecular, optical and plasma physics

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