article · 2003
Measuring the Relative Strong Phase
Jonathan L. Rosner, Denis A. Suprun
Cited by 0Abstract and details only
Abstract
In a recently suggested method for measuring the weak phase γ in B ± → K ± (KK ∗)D decays, the relative strong phase δD in D 0 → K ∗+ K − and D 0 → K ∗ − K + decays (equivalently, in D 0 → K ∗+ K − and D 0 → K ∗+ K −) plays a role. It is shown how a study of the Dalitz plot in D 0 → K + K − π 0 can yield information on this phase, and the size of the data sample which would give a useful measurement is estimated. PACS numbers: 13.25.Ft; 13.25.-k; 14.40.Lb The relative strong phases for charmed particle decays obey patterns which are not easily anticipated from first principles but are subject to detailed experimental study, for example through the construction of amplitude triangles based on experimentally observed decay rates [1, 2, 3, 4]. It has also been suggested [5, 6, 7] that the final-state phase in the doubly Cabibbo-suppressed decay D 0 → K + π − may not be the same as that in the Cabibbo-favored decay D 0 → K − π +, even though they should be equal in the flavor-SU(3) limit [8]. Methods for measuring their difference have been proposed [9, 10]. A Dalitz-plot method for measuring the corresponding phase difference in D 0 → K ∗+ π − and D 0 → K ∗ − π + makes use of the interference between K ∗+ and K ∗− bands in D 0 → KSπ + π − and is compatible with zero strong phase difference [11, 12]. Recently the question has been raised of the relative strong phase δD between D 0 → K ∗+ K − and D 0 → K ∗ − K + decays (equivalently, in D 0 → K ∗+ K − and D 0 → K ∗+ K − ) [13]. This phase is important in a proposed method for measuring the weak phase γ in the B ± → (KK ∗)DK ± decays. In the present note we point out that δD may be measured very directly through the interference of K ∗+ and K ∗ − bands in D 0 → K + K − π 0 decays [14]. We discuss the size of present and anticipated samples of this final state and indicate the attainable experimental precision for δD. 1 To be submitted to Phys. Rev. D. 1 We follow the notations of Ref. [13] and define the D decay amplitudes and their ratio
Cite this paper
Rosner, J. L., & Suprun, D. A. (2003). Measuring the Relative Strong Phase.
Rosner, Jonathan L., and Denis A. Suprun. “Measuring the Relative Strong Phase.” 2003.
Rosner, Jonathan L., and Denis A. Suprun. 2003. “Measuring the Relative Strong Phase.”
Rosner, J.L. and Suprun, D.A. (2003) ‘Measuring the Relative Strong Phase’.
@article{rosner2003measuring,
title = {{Measuring the Relative Strong Phase}},
author = {Rosner, Jonathan L. and Suprun, Denis A.},
year = {2003}
}Made from the index record. Check names, capitalisation and page numbers against the paper. Need another style? AI for Research has over 10,000.