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arXiv 0911.1235nucl-th
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核物质中作为ρ π共振的a1(1260)

The a1(1260) as a rho pi resonance in nuclear matter

D. Cabrera, D. Jido, R. Rapp, L. Roca

摘要:

本文对冷核介质中a1(1260)轴矢量共振的性质进行了理论研究。在真空中,利用耦合通道手征么正方法,由赝标介子和矢量介子(rho pi和KbarK *)的相互作用动态产生a1(1260)共振.介质的影响,通过修改的ρ和π传播在有限的核密度从完善的微观多体计算。在介质中的π介子谱函数帐户耦合到N-孔和三角洲孔激发,包括短程相关,而在介质中的ρ纳入修改其虚拟的π介子云以及直接的共振孔激发。所得到的介质内a1(1260)表现出随着密度增加的显著加宽,如在ρ π散射振幅中所反映的。根据介质内温伯格求和规则讨论了我们的结果与核物质手征对称性部分恢复的可能关系。

英文摘要:

We present a theoretical study of the properties of the a1(1260) axial-vector resonance in a cold nuclear medium. In the vacuum, the a1(1260) resonance is generated dynamically from the interactions of a pseudoscalar and vector meson (rho pi and K barK*) in a coupled channel chiral unitary approach. Medium effects are implemented through the modification of the rho and pi propagators at finite nuclear density from well established microscopic many-body calculations. The in-medium pion spectral function accounts for the coupling to N-hole and Delta-hole excitations including short range correlations, whereas the in-medium rho incorporates modifications of its virtual pion cloud as well as direct resonance-hole excitations. The resulting in-medium a1(1260) exhibits significant broadening with increasing density as reflected in the rho pi scattering amplitude. The possible relation of our results with partial restoration of chiral symmetry in nuclear matter is discussed in terms of in-medium Weinberg sum rules.

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