论文标题
$ f_x（1500）$是在$ b \ toπ（k）kk $ pecays $ρ^0（1450）$中观察到的吗？
Is $f_X(1500)$ observed in the $B\to π(K)KK$ decays $ρ^0(1450)$?
论文作者
论文摘要
我们建议，十多年前，Belle和Babar观察到的不确定状态$ f_x（1500）$，它被视为单个标量或几种旋转共振的组合，是LHCB最近报道的向量$ρ^0（1450）$。采用扰动QCD方法，我们确定了$ρ^0（1450）$共振的di-kaon分布幅度，从lhcb数据中的lhcb数据中的quasi-two-body衰减$ b^{\ pm} \ toπ^{\ pm} {\ pm}ρ^0（1450）（1450）然后表明，$ b^+\ to k^+k^+k^ - $ $衰减频谱周围不变的质量$ m（k^+k^ - ）\ sim 1.5〜 \ rm gev $可以通过$ρ^0（1450）$的共振贡献来很好地描述。 $ b^{+} \至k^{+} k_sk_s $ spectrum中不变的质量$ 1.5〜 \ rm gev $ a $ k_sk_s $ pair的宽结构，这是$ k_sk_s $ pair，$ρ^0（1450）$无法衰减，因为bose-ineinstein statistics可以用bose-ineinstein statistics来贡献$ s $ s $ s $ s $ s $ s $ s $ - s $ s。 $ b^{\ pm} \toπ^{\ pm}ρ^0（1450）\toπ^{\ pm} k^+k^ - $，$ b^{+b^{+to k^{+k^{+k^0（k^0（k k^0（k k^0（k k^0），预测$ b^{0} \ to k^{0}ρ^0（1450）\ to k^0k^+k^ - $模式，可以在正在进行的LHCB和Belle-II实验中进行测试。我们鼓励实验同事通过以更高的精度分析相关数据来审查我们的假设。
We suggest that the uncertain state $f_X(1500)$ observed by Belle and BaBar more than a decade ago, which has been viewed as a single scalar or a combination of several even spin resonances, is the vector $ρ^0(1450)$ reported recently by LHCb. Adopting the perturbative QCD approach, we determine the di-kaon distribution amplitudes with the $ρ^0(1450)$ resonance from the LHCb data for the quasi-two-body decays $B^{\pm}\to π^{\pm}ρ^0(1450)\toπ^{\pm}K^+K^-$. It is then shown that the $B^+ \to K^+K^+K^-$ decay spectrum around the invariant mass $M(K^+K^-)\sim 1.5~\rm GeV$ measured by BaBar can be well described by the resonant contribution from $ρ^0(1450)$. The broad structure in the $B^{+}\to K^{+} K_SK_S$ spectrum around the invariant mass $1.5~\rm GeV$ of a $K_SK_S$ pair, which $ρ^0(1450)$ cannot decay into because of Bose-Einstein statistics, can be accounted for by a nonresonant $S$-wave contribution alone. The branching fractions and/or the direct $CP$ asymmetries of the $B^{\pm}\to π^{\pm}ρ^0(1450)\toπ^{\pm}K^+K^-$, $B^{+}\to K^{+}ρ^0(1450)\to K^+K^+K^-$ and $B^{0}\to K^{0}ρ^0(1450)\to K^0K^+K^-$ modes are predicted, which can be tested at the ongoing LHCb and Belle-II experiments. We encourage experimental colleagues to scrutinize our postulation by analyzing relevant data with higher precision.
