Hyperspherical explicitly correlated Gaussian approach for four-body systems with finite angular momentum

It has been predicted that four-body systems with angular momentum $L=1$ and parity $\pi=+1$ exhibit four-body resonances [1,2] and Efimov physics [3]. To treat these phenomena in the hyperspherical framework, we extend the work of von Stecher and Greene [4] to finite angular momenta. In particular, we employ explicitly correlated Gaussian basis functions with global vectors to solve the hyperangular Schr\"odinger equation for four-body systems with $L^{\pi}=1^+$ and $1^-$ symmetry. We apply the approach to four-fermion systems with unequal masses.\\[4pt] [1] K. M. Daily and D. Blume, Phys. Rev. Lett. 105, 170403 (2010).\\[0pt] [2] S. Gandolfi and J. Carlson, arXiv: 1006.5186v1.\\[0pt] [3] Y. Castin, C. Mora and L. Pricoupenko, Phys. Rev. Lett. 105, 223201 (2010).\\[0pt] [4] J. von Stecher and C. H. Greene, Phys. Rev. A. 80, 022504 (2009).