Factorization versus Duality in Nonleptonic decays, a Quark Model Approach

Details Factorization versus Duality in Nonleptonic decays, a Quark Model Approach Factorization versus Duality in Nonleptonic decays, a Quark Model Approach

1995-04-10

arxiv.org/abs/hep-ph/9504262v1

Phys.Rev. D52 (1995) 2813-2824

Physics

High Energy Physics

High Energy Physics - Phenomenology

20 pages

Scientific paper

10.1103/PhysRevD.52.2813

We study in a quark model the contradiction between factorization and duality found in nonleptonic decays at next to leading order in $1/N_c$, concentrating on quark exchange mechanism. The contradiction originates in the fact that the standard factorization assumption approximates the asymptotic final states by a non-orthogonal set of states, thus leading to an overcounting of the decay probability. We consider a system with two heavy quarks treated as classical color sources with constant velocity, and two mass-degenerate antiquarks. Exploiting permutation symmetry in an adiabatic approximation, we find that final state interaction restores duality. Three $O(1/N_c)$ effects are exhibited: i) a proper treatment of orthogonality yields a global correction $1/N_c\to 1/2N_c$ within a generalized factorization \`a la BSW, (such a factor was present in an Ansatz by Shifman), ii) the distorsion of the meson wave functions at the time of the weak decay, iii) relative phases generated by the later evolution. The latter effect becomes dominant for light antiquarks or for a small velocity of the final mesons, and may thoroughly modify the factorization picture. For exclusive decay it may interchange the role of class I and class II final channels, and for semi-inclusive decay it may lead to an equal sharing of the probability between the two sets of final states. In the heavy antiquark and large velocity limit, the replacement $1/N_c\to 1/2N_c$ is the dominant correction.

Affiliated with

Also associated with

No associations

Rating

Factorization versus Duality in Nonleptonic decays, a Quark Model Approach does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Factorization versus Duality in Nonleptonic decays, a Quark Model Approach, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Factorization versus Duality in Nonleptonic decays, a Quark Model Approach will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-463179