A differential cross section for pi-meson production in peripheral heavy-ion collisions is formulated within the context of a particle-hole model in the Tamm-Dancoff approximation. This is the first attempt at a fully quantum-mechanical particle-hole calculation for pion production in relativistic heavy-ion collisions. The particular reaction studied is an 16O projectile colliding with a 12C target at rest. In the projectile we form a linear combination of isobar-hole states, with the possibility of a coherent isobar giant resonance. The target can be excited to its giant M1 resonance (J pi = 1+, T = 1) at 15.11 MeV, or to its isobar analog neighbours, 12B at 13.4 MeV and 12N at 17.5 MeV. The theory is compared to recent experimental results.

中文翻译：

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相对论重离子碰撞中产生介子的粒子孔计算。

在Tamm-Dancoff近似中的粒子-孔模型的上下文中，公式化了在重离子周围碰撞中产生π介子的微分截面。这是在相对论性重离子碰撞中产生离子的完全量子力学粒子孔计算的首次尝试。研究的特定反应是在静止时16O弹丸与12C目标碰撞。在弹丸中，我们形成等压线-孔状态的线性组合，并具有相干等压线巨大共振的可能性。目标可以在15.11 MeV处激发到其巨大的M1共振（J pi = 1 +，T = 1），或者在等压线模拟邻居处被激发到13.4 MeV处的12B和17.5 MeV处的12N。将该理论与最近的实验结果进行了比较。