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arXiv 0807.2947nucl-thhep-ph
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有限温度下核物质中的奇异介子

Strange mesons in nuclear matter at finite temperature

L. Tolos, D. Cabrera, A. Ramos

摘要:

本文采用手征么正方法,结合K介子-核子相互作用的$s$波和p波,研究了有限温度下核物质中$K$和$\bar K$介子的性质.介质内解考虑了泡利阻塞效应、平均场对所有重子的束缚以及$π$和K介子的自能。我们计算了$K$和$\bar K$(离壳层)谱函数和单粒子性质。$\bar K$有效质量在饱和密度的冷核物质中降低约-50 MeV,在T=100 MeV时降低一半。由于$Λ$、$Σ$和$Σ^*$激发,p波对${\bar K}$光学势的贡献对于大于200 MeV/c的动量变得显著,并且降低了核介质中$\bar K$感受到的吸引力。$\bar K$谱函数在宽的能量范围内扩展,反映了$Λ(1405)$共振的熔化和$YN^{-1}$组分在有限温度下的贡献。在$KN$部分,我们发现低密度定理是一个很好的近似$K$自能接近饱和密度,由于没有共振空穴激发。$K$势表现出适度的排斥行为,而准粒子峰随着密度和温度的增加而显著加宽。我们讨论的$ϕ$介子在SIS/GSI能量衰变的影响,以及在未来的FAIR/GSI项目。

英文摘要:

We study the properties of $K$ and $\bar K$ mesons in nuclear matter at finite temperature from a chiral unitary approach in coupled channels which incorporates the $s$- and p-waves of the kaon-nucleon interaction. The in-medium solution accounts for Pauli blocking effects, mean-field binding on all the baryons involved, and $π$ and kaon self-energies. We calculate $K$ and $\bar K$ (off-shell) spectral functions and single particle properties. The $\bar K$ effective mass gets lowered by about -50 MeV in cold nuclear matter at saturation density and by half this reduction at T=100 MeV. The p-wave contribution to the ${\bar K}$ optical potential, due to $Λ$, $Σ$ and $Σ^*$ excitations, becomes significant for momenta larger than 200 MeV/c and reduces the attraction felt by the $\bar K$ in the nuclear medium.The $\bar K$ spectral function spreads over a wide range of energies, reflecting the melting of the $Λ(1405)$ resonance and the contribution of $YN^{-1}$ components at finite temperature. In the $KN$ sector, we find that the low-density theorem is a good approximation for the $K$ self-energy close to saturation density due to the absence of resonance-hole excitations. The $K$ potential shows a moderate repulsive behavior, whereas the quasi-particle peak is considerably broadened with increasing density and temperature. We discuss the implications for the decay of the $ϕ$ meson at SIS/GSI energies as well as in the future FAIR/GSI project.

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