Complex energy eigenstates in a model with two equal mass particles

R . J. GLEISER; O .A. REULA; 0.M. MORESCHI

REVISTA BRASILEIRA DE FISICA

Ed

Año: 1980 vol. 10 p. 431 - 444

0374-4922

The properties of a simples quantum mechanical model for thedecay of two equal mass p a r t i c l e s are s t u d i e d and r e l a t e d t o some recent work on complex energy eigenvalues.I t c o n s i s t s e s s e n t i a l l y i n a genera-l i z a t i o n o f the Lee- Friedrichs model f o r an unstable p a r t i c l e and gives a h i g h l y i d e a l i z e d v e r s i o n o f t h e KO-KO system, i n c l u d i n g CP v i o l a t i o n s .The m o d e l i s completely s o l v a b l e , thus a l l o w i n g a comparison with well known Weisskopf-Wigner formal ism f o r the decay amplitudes. A different model, d e s c r i b i n g the same system i s a l s o b r i e f l y o u t l i n e d .