Volume dependence of N-body bound states
Volume dependence of N-body bound states
复制标题
N 体束缚态的体积依赖性
DOI：
10.1016/j.physletb.2018.01.060
复制
发表时间：
2017
影响因子：
4.4
通讯作者：
Dean Lee
中科院分区：
文献类型：
--
作者：
S. Konig;Dean Lee
我们导出了在立方周期体积中ann粒子量子束缚态结合能的有限体积修正。我们的结果适用于具有任意组成和总角动量的束缚态，以及任何数量的空间维度。唯一的假设是相互作用有有限的范围。有限体积修正是所有可能的分裂通道贡献的总和。在分离成两个绑定簇的情况下，我们的结果给出了领先的体积依赖，直到指数级小的修正。如果分离成三个或更多簇，则存在超出本工作范围的幂律因子，但是我们的结果再次确定了领先的指数依赖性。我们还提出了两种独立的方法，使用有限体积数据来确定渐近归一化系数。这些系数对于确定与核天体物理学相关的弱束缚态的低能捕获反应是有用的。使用这里介绍的技术，甚至可以使用单体积计算的数据提取无限体积的能量限制。用几个精确可解系统和数值算例验证了推导出的关系式。我们期望立即应用于强子、核和冷原子系统的晶格计算。
We derive the finite-volume correction to the binding energy of anN-particle quantum bound state in a cubic periodic volume. Our results are applicable to bound states with arbitrary composition and total angular momentum, and in any number of spatial dimensions. The only assumptions are that the interactions have finite range. The finite-volume correction is a sum of contributions from all possible breakup channels. In the case where the separation is into two bound clusters, our result gives the leading volume dependence up to exponentially small corrections. If the separation is into three or more clusters, there is a power-law factor that is beyond the scope of this work, however our result again determines the leading exponential dependence. We also present two independent methods that use finite-volume data to determine asymptotic normalization coefficients. The coefficients are useful to determine low-energy capture reactions into weakly bound states relevant for nuclear astrophysics. Using the techniques introduced here, one can even extract the infinite-volume energy limit using data from a single-volume calculation. The derived relations are tested using several exactly solvable systems and numerical examples. We anticipate immediate applications to lattice calculations of hadronic, nuclear, and cold atomic systems.
影响因子：
8.6
作者：
U. Meissner;G. Ríos;A. Rusetsky
通讯作者：
U. Meissner;G. Ríos;A. Rusetsky
束缚态与角动量的体积依赖性
影响因子：
8.6
作者：
S. König;D. Lee;H.-W. Hammer
通讯作者：
H.-W. Hammer