再论非相对论组分夸克模型中质子的奇异形状因子
The strangeness form factors of the proton within nonrelativistic constituent quark model revisited
摘要：
在非相对论组分夸克模型（NRCQM）中，我们重新研究了最近的一个观点，即当前关于奇异形状因子的数据表明质子中的uuds \bar{s}分量是这样的：uuds子系统具有混合空间对称性[31]_X和味自旋对称性[4]_{FS}[22]_F[22]_S，其中\bar{s}处于S态（组态I）。我们发现，如果使用了转换电流对G_A^s和G_E^s的贡献的校正表达式，则这种说法是无效的。相反，我们表明，它是最低位的uuds \bar{s}组态，其中uuds子系统具有完全对称的空间对称性[4]_X和味自旋对称性[4]_{FS}[22]_F[22]_S，\bar{s}处于P态（组态II），这可以解释所有形状因子G_E^s，G_M^s和G_A^s的经验符号。此外，我们发现，消除质心运动的集群将大大提高过渡电流的贡献。我们还证明了对于UUDS \bar{s}分量，以极小的概率P_{s \bar{s} }=0.025%给出现有形状因子数据的合理描述是可能的.我们进一步看到，在低q^2区，我们的预测与G_A^s数据的一致性随着构型I的少量掺杂而显著提高。我们发现，如果不消除CM运动，P_{s \bar{s} }将高估约四倍的情况下，过渡电流占主导地位。我们还探讨了最近通过分析\bar{d} - \bar{u}、s + \bar{s}和\bar{u} + \bar{d} - s - \bar{s}的现有数据得出的估计结果，即P_{s \bar{s} }在2.4- 2.9%之间。这将导致五夸克系统的大尺寸和G_E^s+ηG_M^s和G_E^s在q^2<=0.1 GeV^2区域内的小隆起。
英文摘要：
We reexamine, within the nonrelativistic constituent quark model (NRCQM), a recent claim that the current data on the strangeness form factors indicates that the uuds\bar{s} component in the proton is such that the uuds subsystem has the mixed spatial symmetry [31]_X and flavor spin symmetry [4]_{FS}[22]_F[22]_S, with \bar{s} in S state (configuration I). We find this claim to be invalid if corrected expressions for the contributions of the transition current to G_A^s and G_E^s are used. We show that, instead, it is the lowest-lying uuds\bar{s} configuration with uuds subsystem of completely symmetric spatial symmetry [4]_X and flavor spin symmetry [4]_{FS}[22]_F[22]_S, with \bar{s} in P state (configuration II), which could account for the empirical signs of all form factors G_E^s, G_M^s, and G_A^s. Further, we find that removing the center-of-mass motion of the clusters will considerably enhance the contributions of the transition current. We also demonstrate that it is possible to give a reasonable description of the existing form factors data with a tiny probability P_{s\bar{s}}=0.025% for the uuds\bar{s} component. We further see that with a small admixture of configuration I, the agreement of our prediction with data for G_A^s at low-q^2 region can be markedly improved. We find that without removing CM motion, P_{s\bar{s}} would be overestimated by about a factor of four in the case when transition current dominates. We also explore the consequence of a recent estimate reached from analyzing existing data on \bar{d} -\bar{u}, s +\bar{s}, and \bar{u} + \bar{d} - s -\bar{s}, that P_{s\bar{s}} lies between 2.4-2.9%. It would lead to a large size for the five-quark system and a small bump in both G_E^s+ηG_M^s and G_E^s in the region of q^2<=0.1 GeV^2 within the considered model.
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