Zy. Gu et Sw. Qian, AHARONOV-BOHM SCATTERING ON 2 ANTIPARALLEL FLUX LINES OF THE SAME MAGNITUDE-WITHOUT RETURN FLUX, Journal of physics. A, mathematical and general, 26(17), 1993, pp. 4441-4449
The problem of Aharonov-Bohm (AB) scattering on two parallel flux line
s of arbitrary magnitude is solved exactly; the expression for scatter
ing cross-section in the region of geometric shadow is derived. It is
shown that in the particular case of two antiparallel lines of the sam
e magnetic flux, though the return flux does not exist, the AB scatter
ing still exists.