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Normal polarization component (P N ) of the K m3 decay for the form factor determination. Dang Nguyen Phuong Department of Nuclear Physics, HCMUNS The E06 meeting, Sep 1-2, 2007. Form factor of K m 3. K m 3 matrix element:.
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Normal polarization component (PN) of the Km3 decay for the form factor determination Dang Nguyen Phuong Department of Nuclear Physics, HCMUNS The E06 meeting, Sep 1-2, 2007
Form factor of Km3 Km3 matrix element: M ~ f+(q2) (pKl + ppl) + f–(q2) (pKl– ppl) ~ f+(q2) [ 2pKl . ūngl (1 – g5) vm+ (x(q2) – 1)mmūn(1 – g5)vm q = pK - pp x(q2) = f–(q2) / f+(q2) Linear expansion: f±(q2) = f±(0) [1 + l± (q2/mp2)] Quadratic expansion: f±(q2) = f±(0) [1 + l± (q2/mp2) + ½ l± (q4/mp4) ]
Form factor determination from Km3 decay K+→p0 m+ n Dalitz plot:
Form factor determination from Km3 decay K+→p0 m+ n Branching ratio: Km3 polarization:
Results of Dalitz plot: - 0.116 ± 0.030 (YUSHCHENKO) - 0.27 ± 0.25 (WHITMAN) - 0.57 ± 0.24 (MERLAN) Branching ratio: - 0.13 ± 0.006 (KL3FIT) Km3 polarization: • 0.95 ± 0.03 (CUTTS) • - 1.0 ± 0.03 (BETTELS)
PN n m+ K+ p0 Normal polarization component (PN) e+ bar K+