Incompatibility of FRC `Self--Colliding Beams' with Classical Large Orbit Theory and Experiment

Rosenbluth$^{1}$:\textit{ ``One key physics issue is the behavior of very large gyro radius systems, for which the usual thermal physics is inadequate.''- }Rostoker$^{2 }$ posited (1) 0.42 KeV d$^{+ }$ FRC can achieve confinement$^{ }\tau $ =30 s observed$^{3}$ in self-colliding orbits (SCO) of 725 KeV d$^{+}$,$^{ }$stabilized by magnet focusing$^{4}$ and electrons$^{5}$ ; (2) FRC result $^{6}\tau $=2 x10$^{-3}$ s is ``record long lived plasma state for advanced, aneutronic fuels ''; (3) non-intersecting collision-less orbits produce nuclear reactions. (i) B$_{z}$(r) of FRC is defocusing, field index n$>$0. From single particle orbit theory$^{7,8}$ destructive instability must occur with $\tau ^{ }\le $ 10$^{-3}$ s. (ii) $\tau $ cannot be scaled up by ion energy increase. (iii) Luminosity in SCO$^{3}$: L$\sim $10$^{31}$s$^{-1}$ cm$^{-2}$; in co-revolving FRC orbits: L=0 unless 2 species in same orbit, which requires v2/v1= z$_{1}$m$_{1}$/z$_{2}$m$_{2 }$and N$\tau \quad \sim $ 10$^{17 }$by Lawson$^{ 9-11}$. See http://www.aneutronicfusion.org 1. NIM271, p.1 (88); 2. PRL 70, 1818 (93); 3.PRL 54, 796 (1985); 4.PRL 29, 1590 (72); 5.PRL 70, 299 (93); 6.PRL 105, 045003-1,(10); 7.Part. Acc.1, (70); 8. AIP CP 311, 292 (93); 9. J.App.Phys.46, 2915 (75); 10. NIM A346 322 (93); 11.NIM 144, 65 (77)