Charmonium-nucleon potential from lattice QCD

Charmonium-nucleon potential from lattice QCD
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DOI:
10.1103/physrevd.82.091501
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发表时间:
2010-09
期刊:
影响因子:
5
通讯作者:
T. Kawanai;S. Sasaki
T. Kawanai;S. Sasaki
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
T. Kawanai;S. Sasaki

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由等时Bethe-Salpeter振幅通过有效薛定谔方程计算得到猝灭晶格QCD的查尔蒙-核子势V{subcc-N}(R)。核子与碳氢化合物({eta}{subc}和J/{psi})之间的低能相互作用的详细信息对于探索结合在原子核上的碳素的形成是必不可少的。我们的模拟是在(3Fm){sup 3}空间体积为(3Fm){sup 3}中,晶格截止值为1/a=2.1GeV时进行的,轻夸克的非微扰O(A)改进的威尔逊作用量和魅力夸克的相对论重夸克作用量。我们发现,无论是{eta}{subc}或J/{psi}态的势能V{subcc-N}(R)在短距离处是弱吸引的,而在大距离处是指数屏蔽的。自旋平均J/{psi}-N势比{eta}{subc}-N情况略有吸引力。
We present results for the charmonium-nucleon potential V{sub cc-N}(r) from quenched lattice QCD, which is calculated from the equal-time Bethe-Salpeter amplitude through the effective Schroedinger equation. Detailed information of the low-energy interaction between the nucleon and charmonia ({eta}{sub c} and J/{psi}) is indispensable for exploring the formation of charmonium bound to nuclei. Our simulations are performed at a lattice cutoff of 1/a{approx_equal}2.1 GeV in a spatial volume of (3 fm){sup 3} with the nonperturbatively O(a) improved Wilson action for the light quarks and a relativistic heavy quark action for the charm quark. We have found that the potential V{sub cc-N}(r) for either the {eta}{sub c} or J/{psi} states is weakly attractive at short distances and exponentially screened at large distances. The spin averaged J/{psi}-N potential is slightly more attractive than that of the {eta}{sub c}-N case.