Deep inelastic electron-hadron scattering in the fishing-net diagram approach

M a n y r e m a r k a b l e new fea tu re s of s t r u c t u r e func t ions h a v e been revea led in t he r e c e n t e l ec t ron-nuc leon s c a t t e r i n g e x p e r i m e n t s . Espec ia l ly ~he series of e x p e r i m e n t s a t S t a n f o r d (~) e s t ab l i shed t h e scal ing behav iou r s of t h e s t r u c t u r e func t ions suggested b y B ~ o ~ N (2~. U n d e r thos~ c i r c u m s t a n c e s i#~ is t e m p t i n g ~a f ind a model ~o g ive t h e s t r u c t u r e func t ions wh ich h a v e the des i red p roper t i e s . I n t h i s pape r we t ake t he p a t t o n v iew (a) a n d a d o p t t he con j ec t u r ed co r re spondence be tween t he dua l r e sonance model a n d t he v e r y h i g h o r d e r F e y n m a n d i a g r a m s (4). F o r s impl ic i ty we cons ider ine las t ic s c a t t e r i n g of e lec t rons f rom cha rged scalar mesons ~. I n o rde r to ca lcu la te t h e s t r u c t u r e func t ions of t h i s process we i n v e s t i g a t e t h e v i r t u a l Compton a m p l i t u d e off t he cha r ged scalar meson ~. As a model we assume t h e fol lowing i n t e r ac t i on L a g r a n g i a n a m o n g t h e cha rged scalar mesons % t h e p h o t o n s A u a n d t h e p a r t o n s ~: