CP-violating asymmetry in     p  in the Skyrme model

Abstract

We study the CP -violating asymmetry in nonleptonic decay Λ → pπ. By employing the Skyrme model to calculate this decay amplitude contributed by the gluonic diploe operator, we find a possible large CP -violating asymmetry could be expected, which is consistent with the previous study.11.30. Er, 12.60.Jv, 13.30.Eg, 14.20.Jn Typeset using REVT E X 1 CP -violating asymmetry in Λ → pπ in the Skyrme model where α is hyperon decays parameter of Λ 0 − → pπ − andᾱ corresponds toΛ 0 − →pπ + , δ s = 6 o and δ p = −1.1 o are the final state πN strong interaction phases for S and P wave amplitudes with ∆I = 1/2 respectively [5], and φ s,p are the corresponding CP −violating weak phases. The standard model prediction for A(Λ 0 − ) is around 3 × 10 −5 , and the recent study in Ref. [2] showsA model independent study of new CP −violating interactions has shown that A(Λ 0 − ) could be larger than that predicted within the standard model [6]. An example of an operator is precisely the gluonic dipole operator [1,6], in which A(Λ 0 − ) would be enhanced and could reach around O(10 −3 ) [1]. *