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Title:  Orthogonality of independently propagating states as occurring in the LeeOehmeYang theory 
Authors:  DASS, GV GRIMUS, W 
Keywords:  neutralkaon system weisskopfwigner approximation timereversal cptinvariance tviolation cplear decay 
Issue Date:  2003 
Publisher:  AMERICAN PHYSICAL SOC 
Citation:  PHYSICAL REVIEW D, 67(3),  
Abstract:  We generalize a theorem by Khalfin, originally derived for the states \F1>=\M0>, \F2>=\(M) over bar (0)>, where M0 is a neutral flavored meson (e.g., K0 or Bd(0)), by assuming CPT invariance. Dispensing with CPT invariance and allowing for an arbitrary pair of orthogonal states \F1,F2>, we show that any linear combinations \Pa>=p(a)\F1>+q(a)\F2> and \Pb>=p(b)\F1>q(b)\F2>, if postulated to be independently propagating in time, as in the LeeOehmeYang theory, must be mutually orthogonal. This implies a reciprocity relation: equality of the probabilities of the transitions \F1><>\F2>. Also implied is another relation involving the coefficients p(a,b), q(a,b), which can be interpreted as Im theta=0, where theta is the rephasinginvariant parameter describing CPT violation in M0(M) over bar (0) mixing for Khalfin's choice of \F1,F2>. The states \F1,F2> of our theorem need not form a particleantiparticle pair, nor even be restricted to particle physics. 
URI:  http://dx.doi.org/10.1103/PhysRevD.67.037901 http://dspace.library.iitb.ac.in/xmlui/handle/10054/4797 http://hdl.handle.net/10054/4797 
ISSN:  05562821 
Appears in Collections:  Article

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