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arXiv 2103.15031hep-phhep-ex
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准二体$B_{(s)}\to V ππ$共振$f_0(980)$衰变的PQCD方法

Quasi-two-body $B_{(s)}\to V ππ$ Decays with Resonance $f_0(980)$ in PQCD Approach

Lei Yang, Zhi-Tian Zou, Ying Li, Xin Liu, Cui-Hua Li

摘要:

受准二体衰变$B^0\to K^{*0}(f_0(980)\to )π^+π^-$和$B^0\to ρ^0(f_0(980)\to )π^+π^-$分支分数测量的启发,我们用微扰QCD方法研究了无粲$B\to V (f_0(980)\to ) π^+π^-$衰变。假设$f_0(980)$是一个二夸克态,是$n\bar n=(u\bar u+d\bar d)/\sqrt 2$和$s\bar s$的混合态,混合角为$θ$,我们用新引入的$s$波$π^+π^-$对波函数计算了这些衰变的分支分数.当混合角$θ$在$[135^{\circ}, 155^{\circ}]$范围内时,计算得到的$B^0\to K^{*0}f_0(980)\to K^{*0}π^+π^-$和$B^0\to ρ^0f_0(980)\to ρ^0π^+π^-$衰变的分支分数与实验数据符合较好.其他衰变的分支分数可以在目前的LHCb和Belle II实验中测量。考虑到同位旋对称性,我们还估计了准二体衰变$B\to Vf_0(980)\to Vπ^0π^0$的分支分数,它是相应衰变$B\to Vf_0(980)\to Vπ^+π^-$的一半。此外,还计算了这些衰变的直接$CP$不对称性,其中一些可以在当前的实验中进行测试。

英文摘要:

Motivated by the measurements of branching fractions of the quasi-two-body decays $B^0\to K^{*0}(f_0(980)\to )π^+π^-$ and $B^0\to ρ^0(f_0(980)\to )π^+π^-$, we study the charmless $B\to V (f_0(980)\to ) π^+π^-$ decays in the perturbative QCD approach. Supposing that $f_0(980)$ is a two-quark state and mixture of $n\bar n=(u\bar u+d\bar d)/\sqrt 2$ and $s\bar s$ with the mixing angle $θ$, we calculate the branching fractions of these decays with the new introduced $s$-wave $π^+π^-$-pair wave function. When the mixing angle $θ$ lies in the range $[135^{\circ}, 155^{\circ}]$, the calculated branching fractions of the $B^0\to K^{*0}f_0(980)\to K^{*0}π^+π^-$ and $B^0\to ρ^0f_0(980)\to ρ^0π^+π^-$ decays are in agreement with the experimental data. The branching fractions of other decays could be measured in the current LHCb and Belle II experiments. Considering the isospin symmetry, we also estimate the branching fractions of the quasi-two-body decays $B\to Vf_0(980)\to Vπ^0π^0$, which are half of those the corresponding decays $B\to Vf_0(980)\to Vπ^+π^-$. Moreover, the direct $CP$ asymmetries of these decays are also calculated, and some of them can be tested in the current experiments.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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