Nonrelativistic Heavy Quarkonium Model Descended from a Quasi-Particle Approach

Nonrelativistic Heavy Quarkonium Model Descended from a Quasi-Particle Approach
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由准粒子方法推导出的非相对论重夸克模型

DOI:
10.1007/s00601-022-01782-w
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发表时间:
2022
期刊:
影响因子:
1.6
通讯作者:
Matsuda Y.
Matsuda Y.
中科院分区:
物理与天体物理4区
文献类型:
--
作者:
Sakai M.;Hirano M.;Kato K.;Matsuda Y.

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Llanes-Estrada和Cotench用准粒子方法得到了一个关于重夸克偶素的动力学夸克质量的薛定谔型方程。为了观察所得到的方程与组分夸克(势)模型方程之间的关系,我们把动力学夸克质量用一个常数M处理,并把1/M的方程展开到(1/M)阶。当忽略非定域相互作用时,方程退化为传统的非相对论组分夸克模型。本文研究了薛定谔方程中的夸克动力学质量Min作为自由参数的非相对论模型,称之为准夸克(QQ)模型。为了阐明非定域相互作用的作用和观察QQ模型的可靠性,我们研究了粲素的S波态。
A Schrödinger-type equation for a heavy quarkonium in terms of the dynamical quark mass is obtained in a quasi-particle approach by Llanes-Estrada and Cotanch. To observe the relationship between the obtained equation and the constituent quark (potential) model equation, we treat the dynamical quark mass by a constant parameterMand expand the equation in 1/Mup to order (1/M). The equation reduces to that of the traditional nonrelativistic constituent quark model when a nonlocal interaction is neglected. We investigate the nonrelativistic model where the dynamical quark massMin the Schrödinger-type equation is treated as a free parameter and call it the quasi-quark (QQ) model. To elucidate the role of the nonlocal interaction and to observe the reliability of the QQ model, we studied the charmoniumS-wave states.
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DOI: 10.1007/978-1-4684-7221-9_10
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