SU(3)-symmetry breaking effects and mass splitting in scalar and pseudoscalar D mesons from QCD sum rules

SU(3)-symmetry breaking effects and mass splitting in scalar and pseudoscalar D mesons from QCD sum rules
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SU(3)-来自 QCD 和规则的标量和赝标量 D 介子的对称破缺效应和质量分裂

DOI:
10.1103/physrevd.81.054021
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发表时间:
2009-06
期刊:
影响因子:
5
通讯作者:
Zhang, Jin
Zhang, Jin
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Zhang, Zhu-Feng;Steele, T. G.;Jin, Hong-Ying;Zhang, Jin

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基于轻-轻和重-轻J{sup P}=0{sup -}和J{sup P}=0{sup +}介子的相似质量分裂,在具有cq结构的QCD和规则框架下,分析了D介子0{sup -}和0{sup +}通道中质量分裂的SU(3)-对称破缺效应。考虑算子混合,得到了一种红外稳定算子积展开方法,包括对相关函数的完全非摄动和摄动O(m{sub q})校正。当两个通道的阈值相同时,由和规则引起的质量分裂与观测到的谱具有相同的行为。特别地,我们在重整化尺度{mu}=1 GeV下,在0{sup -}通道得到m{sub D{sub D}}-m{sub D{sub D{approx}} 35 MeV,在0{sup +}通道得到m{sub D{sub D}}-m{sub D{sub s{approx}} 12 MeV。这种分裂可以归因于质量效应和由非微扰QCD真空引起的宇称相关“力”的不同作用。进一步分析表明,由于这种宇称依赖力的存在,0{sup -}通道中两个态的质量间隙自然大于0{sup +}通道。当我们将重整化尺度增加到{mu}=1.3 GeV时,分裂保持不变,这更“证明了正确的尺度不变性。结合重夸克有效理论,简要地讨论了对粲介子和b系统的其他通道的推广。«少
Motivated by the similar mass splitting in light-light and heavy-light J{sup P}=0{sup -} and J{sup P}=0{sup +} mesons, the SU(3)-symmetry breaking effects splitting the masses in the 0{sup -} and 0{sup +} channels of the D meson are analyzed in the framework of QCD sum rules with an underlying cq structure. We take into account operator mixing to obtain an infrared stable operator-product expansion method including complete nonperturbative and perturbative O(m{sub q}) corrections to the correlation function. With the same threshold for both channels, the mass splitting arising from the sum rules has the same behavior as the observed spectrum. In particular, we obtain m{sub D{sub s}}-m{sub D{sub d{approx}}}35 MeV in the 0{sup -} channel and m{sub D{sub d}}-m{sub D{sub s{approx}}}12 MeV in the 0{sup +} channel at a renormalization scale {mu}=1 GeV. The splitting can be attributed to the different roles of mass effects and the parity-dependent ''force'' induced from nonperturbative QCD vacuum. Further analysis shows that due to this parity-dependent force it is natural that the mass gap of the two states in the 0{sup -} channel is larger than the 0{sup +} channel. When we increase the renormalization scale to {mu}=1.3 GeV the splitting remains unchanged which more » demonstrates a correct scale invariance. Combined with heavy quark effective theory, generalizations to other channels of charmed mesons and b-systems are briefly discussed. « less
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