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arXiv 0802.3738nucl-th
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相对论平均场论中的η介子核

Eta-mesic nuclei in relativistic mean-field theory

C. Y. Song, X. H. Zhong, L. Li, P. Z. Ning

摘要:

利用手征微扰理论导出的η-核子相互作用拉格朗日量,在相对论平均场论框架下研究了可能的η-介子核。η单粒子能量对η N散射长度敏感,随核子数A单调增加。如果散射长度在a^{eta N}=0.75-1.05 fm范围内,虚势V_{0}为-15 MeV,则在实验中可以分辨出C,O和Ne eta束缚态的一些离散态.当散射长度a^{eta N}< 0.5 fm,或虚势V_{0} > 30 MeV时,实验中观察不到分立的η介子束缚态.

英文摘要:

With the eta-nucleon (eta N) interaction Lagrangian deduced from chiral perturbation theory, we study the possible eta-mesic nuclei in the framework of relativistic mean-field theory. The eta single-particle energies are sensitive to the eta N scattering length, and increase monotonically with the nucleon number A. If the scattering length is in the range of a^{eta N}=0.75-1.05 fm and the imaginary potential V_{0}-15 MeV, some discrete states of C, O and Ne eta bound states should be identified in experiments. However, when the scattering length a^{eta N}< 0.5 fm, or the imaginary potential V_{0} > 30 MeV, no discrete eta meson bound states could be observed in experiments.

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