D→PP衰變與末態交互作用之研究

Study of D→PP Decays and Final State Interactions

賴誌豪(Jr-Hau Lai)

指導教授 ： 楊桂周

中原大學/理學院/應用物理研究所/碩士(2005年)

https://doi.org/10.6840/cycu200500497

摘要

為了研究Ｄ介子二體衰變過程中的末態交互作用，我們假設整個衰變的過程為因次化振幅 (factorization amplitude) 再經由SU(3) 末態來表示，這些因次次化振幅的形式我們給它取名為「色允許 (color-allowed)」、「色阻礙 (color-suppressed)」和「弱湮滅 (weak annihilation)」，「色允許」與「色阻礙」振幅可用因式分解的方法得出，而關於「弱湮滅」振幅的部份，在本文是以參數化的方式來表示的，我們也考慮了Ｄ介子和末態介子間交互作用所產生的非微擾「弱湮滅」振幅。我們利用十組Ｄ介子衰變成兩個類純量介子的數據來求得「形成因子」FDK (0)、兩組「弱湮滅」振幅的參數與兩組SU(3) 散射角最合適的值，得到誤差與輸入的比值為9.7/5。整個結果和實驗的數據是相當穩合的，其中我們還計算出(D0→K0K0)≒0.75x10^(-3)，它和實驗數據(0.71+-0.19)x10^(-3)是相當的，這個結果成功地解決先前許多文獻之中B(D0→K0K0)=0的問題。

關鍵字

末態交互作用 ； 粒子衰變 ； 二體衰變

並列摘要

To investigate final state interactions among 2-body D decays, we assume that the decay processes go through generalized factorization amplitudes followed by SU(3) rescatterings. The generalized amplitudes include color-allowed, color-suppressed and weak annihilation topologies, where the color-allowed and color-suppressed topologies are evaluated by the factorization approach, while the weak annihilation one is parameterized in the present study. We have also considered the nonperturbative weak annihilation amplitude arising from the interaction between the initial D meson and final state mesons. We have 10 branching ratio data of D→PP as inputs, and obtain numerical results for the form factor FDK (0), two parameters for weak annihilation contributions and two SU(3) rescattering phases. χ^2/d.o.f. of the best fit is 9.7/5. Our results are in well agreement with the experimental measurement. We obtain B(D0→K0K0)≒0.75x10^(-3), consistent with the data (0.71+-0.19)x10^(-3). Our result successfully resolves the problem of B(D0→K0K0) which was consistent with zero in the literature.

並列關鍵字

final state interactions ； d decay

參考文獻

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[7] C. K. Chua, W. S. Hou, and K. C. Yang (unpublished).