论文标题

对称核物质中的s波旋转凝结

S-wave pion condensation in symmetric nuclear matter

论文作者

Voskresensky, D. N.

论文摘要

在线性sigma模型中,在拉格朗日人和一般现象学方法中具有有限项的术语数量,在线性sigma模型中的S波胎核核子相互作用。讨论了与当前代数定理和现场重新定义相关的细微之处。在第一和第三型模型中,最有可能在同胞对称物质中至少不会发生S-Wave Pion凝结,而在第二个模型中,它可能已经出现在中等密度下。在现象学方法中,考虑了文献中使用的S波脉冲核子散射幅度和pion极化算子的两个参数化。第一个参数化采用了质量壳幅度,并允许实现当前的代数定理。使用它,在气体对称物质中,在气体近似中重建了S-Wave Pion极化算子。使用此旋钮极化算子,在同胞素对称物质中的S波旋转至少不会发生至高密度。第二个参数化使用质壳脉冲核子散射幅度,并且不满足Adler和Weinberg条件。随着这种参数化,极有可能在核子密度$ n \ simeq(1.4-2.5)N_0 $上已经发生S-Wave Pion凝结,其中$ n_0 $是原子核的密度,这应该会导致可观察的效果。两种参数化都允许成功描述锥原子数据。

S-wave pion-nucleon interactions in the linear sigma model, and in Manohar-Georgi and Gasser-Sainio-Svarc models with finite number of terms in Lagrangians, as well as in a general phenomenological approach are reviewed. Subtleties associated with the current algebra theorems and field redefinitions are discussed. In the first and third models most likely the s-wave pion condensation in the isospin-symmetric matter does not occur at least up to high densities, whereas within the second model it may appear already at moderate densities. In the phenomenological approach two parameterizations of the s-wave pion-nucleon scattering amplitude and the pion polarization operator used in the literature are considered. The first parameterization employs the off-mass-shell amplitude and allows to fulfil the current algebra theorems. Using it the s-wave pion polarization operator in the isospin-symmetric matter is reconstructed within the gas approximation. With this pion polarization operator the s-wave pion condensation in the isospin-symmetric matter does not occur at least up to high densities. Second parameterization uses the on-mass-shell pion-nucleon scattering amplitude and does not satisfy the Adler and Weinberg conditions. With such a parameterization most likely the s-wave pion condensation in the isospin-symmetric matter may occur already at the nucleon density $n\simeq (1.4-2.5) n_0$, where $n_0$ is the density of the atomic nucleus, that should result in observable effects. Both parameterizations allow to successfully describe the pion atom data.

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