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- Title
Effective valence quark model and a possible dip in d Br(B β Kπ...)/dq<sup>2</sup>.
- Authors
Hiroyuki Ishida; Yoshio Koide
- Abstract
In rare B meson decays B β Kπ+πβ a possible contribution of π+πβ emission via photon from the "spectator" quark q (q = u, d) in the B meson (qbΜ ) is investigated in addition to the conventional one bΜ β sΜ + Ξ³ β s + π+ + πβ . If such a contribution is sizable compared with the standard estimation of B β π+πβ, we will observe visible difference between dΞ(B0 β Kπ+πβ)/dq2 and dΞ(B+ β Kπ+πβ)/dq2 in q2 dependence (q2 = mππ2). Besides, as a result of the interference between the conventional one and a new one, a dip appears in dΞ(B β Kπ+πβ)/dq2 at a small region of q2. The interference effect in the B+ decay will also be observed differently from that in the B+ decay. The calculation is done based on a semiclassical approach, a valence quark model. In the present model, the photon emission from the spectator quark q, d β d + Ξ³ (u β u + Ξ³) is independent of the bβs transition mechanism, and the characteristic results are due to a straightforward estimate of the quark propagator which cannot be incorporated into the factorization method. The model is not a valence quark "dominant" model, so that, for example, the valence quarks in the final state carry only 24% of the energyβmomentum of the kaon.
- Subjects
VALENCE quark; QUARK models; FLAVOR in particle physics; B meson decay; STANDARD model (Nuclear physics)
- Publication
International Journal of Modern Physics A: Particles & Fields; Gravitation; Cosmology; Nuclear Physics, 2014, Vol 29, Issue 7, p1450040-1
- ISSN
0217-751X
- Publication type
Article
- DOI
10.1142/S0217751X14500407