Evidence for X(3872) from DD* scattering on the lattice.

Evidence for X(3872) from DD* scattering on the lattice.
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DOI:
10.1103/physrevlett.111.192001
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发表时间:
2013-07
影响因子:
8.6
通讯作者:
S. Prelovsek;L. Leskovec
S. Prelovsek;L. Leskovec
中科院分区:
物理与天体物理1区
文献类型:
--
作者:
S. Prelovsek;L. Leskovec

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使用 J(PC)=1(++) 和 I=0 的动态 N(f)=2 晶格模拟,在 DD* 阈值以下 11±7 MeV 处发现了类似粲素态 X(3872) 的候选态。这是第一个晶格模拟,除了附近的散射态 DD* 和 J/ψω 之外,还建立了 X(3872) 的候选值,这些散射态不可避免地存在于动态 QCD 中。我们提取了大且负的DD*散射长度a(0)(DD*)=-1.7±0.4 fm和有效范围r(0)(DD*)=0.5±0.1 fm,但它们的可靠确定必须等待更大体积的模拟。在 I=1 通道中,仅找到 DD* 和 J/ψρ 散射态,并且没有 X(3872) 的候选散射态。这与 X(3872) 主要是 I=0 的解释是一致的,而它的小 I=1 分量仅由同位旋断裂产生,因此在我们的 m(u)=m(d) 模拟中不存在。
A candidate for the charmonium(like) state X(3872) is found 11±7 MeV below the DD* threshold using dynamical N(f)=2 lattice simulation with J(PC)=1(++) and I=0. This is the first lattice simulation that establishes a candidate for X(3872) in addition to the nearby scattering states DD* and J/ψω, which inevitably have to be present in dynamical QCD. We extract large and negative DD* scattering length a(0)(DD*)=-1.7±0.4 fm and the effective range r(0)(DD*)=0.5±0.1 fm, but their reliable determination will have to wait for a simulation on a larger volume. In I=1 channel, only the DD* and J/ψρ scattering states are found and no candidate for X(3872). This is in agreement with the interpretation that X(3872) is dominantly I=0, while its small I=1 component arises solely from the isospin breaking and is therefore absent in our simulation with m(u)=m(d).