2006/07/31 by Jonathan L. Rosner
Physics and Astronomy · #Black Holes and Theoretical Physics #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ex #hep-ph
paper · pdf · doi:10.1103/physrevd.74.057502
published as Phys.Rev.D74:057502,2006 · 5 pages, 3 figures. Further references and text added
arxiv created 2006/09/01 · openalex publication_date 2006/09/22 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
A definite relative phase and amplitude exists between the doubly-Cabibbo-suppressed amplitude for D0\ensuremath→K0M0 and the Cabibbo-favored amplitude for D0\ensuremath→K0M0, where M0=(\ensuremathπ0,\ensuremathη,\ensuremathη^\ensuremath'): A(D0\ensuremath→K0M0)=\ensuremath-tan2\ensuremathθCA(D0\ensuremath→K0M0). Here \ensuremathθC is the Cabibbo angle. This relation, although previously recognized (for M0=\ensuremathπ0) as a consequence of the U-spin subgroup of SU(3), is argued to be less sensitive to corrections involving SU(3) breaking than related U-spin relations involving charged kaons or strange D mesons. A corresponding relation between D+\ensuremath→K0\ensuremathπ+ and D+\ensuremath→K0\ensuremathπ+ is not predicted by U-spin. As a consequence, one expects the asymmetry parameters R(D0,M0)\ensuremath≡[\ensuremathΓ(D0\ensuremath→KSM0)\ensuremath-\ensuremathΓ(D0\ensuremath→KLM0)/[\ensuremathΓ(D0\ensuremath→KSM0)+\ensuremathΓ(D0\ensuremath→KLM0)] each to be equal to 2tan2\ensuremathθC=0.106, in accord with a recent CLEO measurement R(D0)\ensuremath≡R(D0,\ensuremathπ0)=0.122\ifmmode±\else\textpm\fi0.024\ifmmode±\else\textpm\fi0.030. No prediction for the corresponding ratio R(D+) is possible on the basis of U-spin.