Spin-orbit splitting of the resonant states in the He-4+n system

The spin-orbit splitting of resonant states in the He-4 + n system is inves tigated by using the complex scaling method (CSM). The calculated energy di fference between the P-3/2 and p(1/2) states is very small, which is inferr ed by the R-matrix analyses, though the spin-orbit potential employed for t he He-4-n system is strong for the bound states. Furthermore, we show that the calculated energy difference between the p(3/2) and p(1/2) states is no t the same as the energy difference of the expectation value of the spin-or bit potential; those of the kinetic energy and the central potential are al so needed for explanation of the energy difference between the p(3/2) and p (1/2) states. To clarify this, we calculate the complex expectation values of the operators in the He-4-n Hamiltonian for the P-3/2 and p(1/2) resonan t states with a mew method recently developed in the framework of the CSM. [S0556-2813(98)06012-9].