The Skyrme model, though it admits correctly a wide range of static properties of the nucleon, does not seem to reproduce properly the scattering behavior of nucleons at high energies. In this paper we present a \( T\overline{T} \)-like deformation of it, inspired by a 1+1 dimensional model, in which boosted nucleons behave like shock waves. The scattering of the latter saturates the Froissart bound. We start by showing that 1+1 dimensional \( T\overline{T} \) deformations of the free abelian pion action are in fact generalizations of the old Heisenberg model for nucleon-nucleon scattering, yielding the same saturation of the Froissart bound. We then deform the strong coupling limit of the bosonized action of multi-flavor QCD in two dimensions using the \( T\overline{T} \) deformation of the WZW action with a mass term. We derive the classical soliton solution that corresponds to the nucleon, determine its mass and discuss its transformation into a shock-wave upon boosting. We uplift this action into a 3+1 dimensional \( T\overline{T} \)-like deformation of the Skyrme action. We compare this deformed action to that of chiral perturbation theory. A possible holographic gravity dual interpretation is explored.

Skyrme模型虽然正确地承认了核子的广泛静态特性，但似乎不能正确地再现核子在高能下的散射行为。在本文中，我们受1 + 1维模型的启发，提出了类似\（T \ overline {T} \）的变形，其中增强的核子的行为类似于冲击波。后者的散射使Froissart束缚饱和。我们首先显示自由阿贝尔离子作用的1 + 1维\（T \ overline {T} \）变形实际上是旧的Heisenberg模型的核子-核子散射的一般化，产生了Froissart界的相同饱和度。然后，我们可以使用以下方法在二维中变形多味QCD的硼化作用的强耦合极限。具有质量项的WZW动作的\（T \ overline {T} \）变形。我们推导对应于核子的经典孤子解，确定其质量并讨论其在增强时转变为冲击波的过程。我们将该动作提升为Skyrme动作的3 + 1维\（T \ overline {T} \）变形。我们将这种变形作用与手性摄动理论进行了比较。探索了可能的全息引力双重解释。