Adiabatic projection method for scattering and reactions on the lattice
Adiabatic projection method for scattering and reactions on the lattice
复制标题
晶格上散射和反应的绝热投影方法
DOI：
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发表时间：
2013
期刊：
影响因子：
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通讯作者：
G. Rupak
中科院分区：
文献类型：
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作者：
Michelle Pine;Dean Lee;G. Rupak
我们演示并测试了绝热投影法，这是一种计算晶格上散射和反应的通用新框架。该方法基于计算团簇的低能有效理论，该理论在大欧几里德投影时间的限制下变得精确。作为一个详细的例子，我们用晶格有效场论计算了弹性费米子-二聚体散射的绝热二体哈密顿量。我们的计算对应于无点有效场理论中处于领先级数的自旋四重态通道中的中子-重离子散射。我们证明了绝热哈密顿量的谱以任意精度再现了低于非弹性阈值的原始哈密顿量的谱。我们还表明，计算的S波相移在连续介质和无限体积极限下重现了已知的精确结果。当推广到多个散射通道时，绝热投影法可以用来计算晶格上的非弹性反应。
We demonstrate and test the adiabatic projection method, a general new framework for calculating scattering and reactions on the lattice. The method is based upon calculating a low-energy effective theory for clusters which becomes exact in the limit of large Euclidean projection time. As a detailed example we calculate the adiabatic two-body Hamiltonian for elastic fermion-dimer scattering in lattice effective field theory. Our calculation corresponds to neutron-deuteron scattering in the spin-quartet channel at leading order in pionless effective field theory. We show that the spectrum of the adiabatic Hamiltonian reproduces the spectrum of the original Hamiltonian below the inelastic threshold to arbitrary accuracy. We also show that the calculated s -wave phase shift reproduces the known exact result in the continuum and infinite-volume limits. When extended to more than one scattering channel, the adiabatic projection method can be used to calculate inelastic reactions on the lattice in future work.
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