论文标题

配对旋转的有效现场理论

Effective field theory of pairing rotations

论文作者

Papenbrock, T.

论文摘要

配对旋转是有限的超级流体系统的低能激发,连接其库珀对数量不同的系统。本文在有效理论中提出了对旋转的模型无关推导,该理论利用了U(1)相对称性的突出破裂。对称性是非线性实现的,而nambu-goldstone模式仅取决于时间,因为系统是有限的。半魔法核表现出配对旋转带,而配对光谱成为开放壳核的椭圆抛物面。双电荷 - 交换反应与α粒子捕获或开放式核核中的α粒子捕获或敲除之间的非依赖性关系类似于单个超流体中的对转移反应。通过将费米子耦合到超流体,描述了奇数半魔法核。领先理论在不确定性估计中复制了配对旋转频段的数据。

Pairing rotations are the low-energy excitations of finite superfluid systems, connecting systems that differ in their number of Cooper pairs. This paper presents a model-independent derivation of pairing rotations within an effective theory that exploits the emergent breaking of U(1) phase symmetries. The symmetries are realized nonlinearly and the Nambu-Goldstone modes depend only on time because the system is finite. Semi-magic nuclei exhibit pairing rotational bands while the pairing spectrum becomes an elliptical paraboloid for open-shell nuclei. Model-independent relations between double charge-exchange reactions and alpha particle capture or knockout in open-shell nuclei are in analogy to the pair transfer reactions in a single superfluid. Odd semi-magic nuclei are described by coupling a fermion to the superfluid. The leading-order theories reproduce data for pairing rotational bands within uncertainty estimates.

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