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- W2119932257 abstract "I t is sugges ted t h a t t h r e s h o l d anomal ie s (cusps), effects of w h i c h h a v e been e x p e c t e d in h i g h e n e r g y phys ics for some t i m e (1.a), m a y be m a n i f e s t e d b y t h e coupl ing c o n s t a n t s of compos i t e pa r t i c l e s loca ted in t h e p r o x i m i t y of a t h re sho ld . Th i s n o t i o n is ba sed on t h e fo l lowing c i r cums tance . T h e coupl ing c o n s t a n t of a compos i t e pa r t i c l e to i t s con. s t i t u e n t s m a y be def ined as t h e res idue a t t h e par t i c le pole in t h e s c a t t e r i n g a m p l i t u d e a n d is t he r e fo re i n t i m a t e l y c o n n e c t e d to t h e b i n d i n g m e c h a n i s m respons ib le for i t s exis tence . I n t h i s p a p e r i t s is a r g u e d t h a t a nove l s i t u a t i o n m a y ar ise for compos i t e pa r t i c les wh ich are loca ted in t he p r o x i m i t y of a t h r e s h o l d . The coupl ing c o n s t a n t is c h a r a c t e r i z e d b y t h e ana ly t i c b e h a v i o u r of t h e s c a t t e r i n g a m p l i t u d e w h i c h in t h e p r o x i m i t y of a t h r e s h o l d is d o m i n a t e d b y t h e cusp, r e d u c i n g t he dependence of t h e coupl ing c o n s t a n t s on t he b i nd i ng m e c h a n i s m only to an imp l i c i t one t h r o u g h t he masses of t he par t ic les in ques t ion. This idea is exempl i f ied in t h e case of t he d e u t e r o n to w h i c h t h i s n o t e is r e s t r i c t ed . I t leads to a c o n v e n i e n t p a r a m e t r i z a t i o n of t h e d e u t e r o n coupl ing c o n s t a n t to nuc leons in t e r m s of t h e d e u t e r o n b i n d i n g ene rgy n o t e d b y FA~NB~R~ a n d FRADKIN (4) a n d LANDAU (5). The T m a t r i x serves as a c o n v e n i e n t s t a r t i n g p o i n t for t h e discussion. F o r t he sake of def in i teness t h e p roof is g iven in t h e f r a m e w o r k of t h e n o n l i n e a r sp inor t h e o r y of e l e m e n t a r y par t ic les (6). T h e m a i n resu l t of t h e p a p e r would a p p e a r to be va l id to lowes t o rder in t he d e u t e r o n b i n d i n g e n e r g y for a genera l class of models w h i c h ins is t s a t l eas t on e las t ic u n i t a r i t y . The sp in-one c o n t r i b u t i o n of t h e T m a t r i x desc r ib ing nuc leon ." @default.
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- W2119932257 date "1969-07-01" @default.
- W2119932257 modified "2023-09-23" @default.
- W2119932257 title "Threshold anomalies as manifested by coupling constants" @default.
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