论文标题
$ ϕ^6 $模型中的多键链散射
Multikink scattering in the $ϕ^6$ model revisited
论文作者
论文摘要
Antikink-kink($ \ bar {\ rm k} $$ {\ rm k} $)在$ ϕ^6 $模型中碰撞表现出共振散射,尽管$ ϕ^6 $ kinks不支持任何能量可以转移的能量的任何约束状态。在物理中。莱特牧师。 107(2011)091602可以推测,将能量转移到完整$ \ bar {\ rm k} $$ {\ rm k} $ configuration的集体界限模式中。在这里,我们为这种猜想提供了进一步的有力证据。此外,我们以$ \ bar {\ rm k} $$ {\ rm k} $散射为基于这种集体界限的散射构建集体坐标模型(CCM),被困在$ \ bar {\ rm k} $ {\ rm k} $ {\ rm k} $ pair之间,该模式可以重现$ \ bar} $ \ bar}的全部动态以惊人的精度散射。我们还研究了Kink-Antikink($ {\ rm k} $$ \ bar {\ rm k} $)散射及其描述。在这种情况下,发现了辐射的重要作用。
Antikink-kink ( $\bar{\rm K} $$ {\rm K}$) collisions in the $ϕ^6$ model exhibit resonant scattering although the $ϕ^6$ kinks do not support any bound states to which energy could be transferred. In Phys. Rev. Lett. 107 (2011) 091602 it was conjectured that, instead, energy is transferred to a collective bound mode of the full $\bar{\rm K} $$ {\rm K}$ configuration. Here we present further strong evidence for this conjecture. Further, we construct a collective coordinate model (CCM) for $\bar{\rm K} $$ {\rm K}$ scattering based on this collective bound mode trapped between the $\bar{\rm K} $$ {\rm K}$ pair which allows us to reproduce the full dynamics of $\bar{\rm K} $$ {\rm K}$ scattering with striking accuracy. We also study kink-antikink (${\rm K} $$ \bar{\rm K}$) scattering and its description by a CCM. In this case a significant role of radiation is discovered.