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arXiv 1111.5706hep-ph
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η-素数核光学势和可能的η-素数束缚态

eta-prime nucleus optical potential and possible eta-prime bound states

H. Nagahiro, S. Hirenzaki, E. Oset, A. Ramos

摘要:

从最近的一个模型的η 'N相互作用,我们评估η'-核的光学势,包括最低阶密度的贡献,t ρ/2m_η ',连同二级条款占η'吸收两个核子。我们还计算了(pi+,p)反应在核上形成eta'束缚态的截面。η '-核势受到与知之甚少的η' N相互作用有关的不确定性的影响,这可以部分地受到η 'N散射长度的实验模量和/或最近测量的η'核光生中的透明度比的限制。假设有吸引力的相互作用,并取声称的实验值|a_eta'N| = 0.1 fm时,我们得到了饱和密度为V_eta' = -(8.7 + 1.8i)MeV的核物质的eta'光学势,它不足以吸引轻核产生eta'束缚态。散射长度的值越大,产生的光学势越深,虚部足够适中。用于值|a_eta'|= 0.3 fm,这仍然可以被认为是在实验约束的不确定性范围内,轻和中等核的光谱显示出与η ′-核束缚态和未束缚区域中的阈值增强相关的清晰结构。

英文摘要:

Starting from a recent model of the eta'N interaction, we evaluate the eta'-nucleus optical potential, including the contribution of lowest order in density, t rho/2m_eta', together with the second order terms accounting for eta' absorption by two nucleons. We also calculate the formation cross section of the eta' bound states from (pi+,p) reactions on nuclei. The eta'-nucleus potential suffers from uncertainties tied to the poorly known eta'N interaction, which can be partially constrained by the experimental modulus of the eta'N scattering length and/or the recently measured transparency ratios in eta' nuclear photoproduction. Assuming an attractive interaction and taking the claimed experimental value |a_eta'N| = 0.1 fm, we obtain a eta' optical potential in nuclear matter at saturation density of V_eta' = -(8.7 + 1.8i) MeV, not attractive enough to produce eta' bound states in light nuclei. Larger values of the scattering length give rise to deeper optical potentials, with moderate enough imaginary parts. For a value |a_eta'| = 0.3 fm, which can still be considered to lie within the uncertainties of the experimental constraints, the spectra of light and medium nuclei show clear structures associated to eta'-nuclear bound states and to threshold enhancements in the unbound region.

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