Recent studies have emphasized the important role that a shape deformability of scalar-field models pertaining to the same class with the standard [Formula: see text] field, can play in controlling the production of a specific type of breathing bound states so-called oscillons. In the context of cosmology, the built-in mechanism of oscillons suggests that they can affect the standard picture of scalar ultra-light dark matter. In this paper, kink scatterings are investigated in a parametrized model of bistable system admitting the classical [Formula: see text] field as an asymptotic limit, with focus on the formation of long-lived low-amplitude almost harmonic oscillations of the scalar field around a vacuum. The parametrized model is characterized by a double-well potential with a shape-deformation parameter that changes only the steepness of the potential walls, and hence the flatness of the hump of the potential barrier, leaving unaffected the two degenerate minima and the barrier height. It is found that the variation of the deformability parameter promotes several additional vibrational modes in the kink-phonon scattering potential, leading to suppression of the two-bounce windows in kink–antikink scatterings and the production of oscillons. Numerical results suggest that the anharmonicity of the potential barrier, characterized by a flat barrier hump, is the main determinant factor for the production of oscillons in double-well systems.

中文翻译：

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参数化 φ4 模型中的扭结-反扭结散射引起的呼吸束缚态和振荡

最近的研究强调了与标准 [公式：参见文本] 场属于同一类的标量场模型的形状变形性在控制特定类型的呼吸束缚态（即所谓的振荡器）的产生中可以发挥的重要作用. 在宇宙学的背景下，振荡器的内置机制表明它们可以影响标量超轻暗物质的标准图像。在本文中，扭结散射在双稳态系统的参数化模型中进行了研究，该模型承认经典 [公式：见文本] 场作为渐近极限，重点关注周围标量场的长寿命低幅度几乎谐波振荡的形成真空。参数化模型的特征在于具有形状变形参数的双阱势，该参数仅改变势壁的陡度，从而改变势垒驼峰的平坦度，不影响两个退化最小值和势垒高度。发现变形参数的变化促进了扭结-声子散射势中的几种额外振动模式，从而抑制了扭结-反扭结散射中的两次反弹窗口和振荡器的产生。数值结果表明，势垒的非谐性，以平坦的势垒驼峰为特征，是双井系统中振荡器产生的主要决定因素。不影响两个退化最小值和障碍高度。发现变形参数的变化促进了扭结-声子散射势中的几种额外振动模式，从而抑制了扭结-反扭结散射中的两次反弹窗口和振荡器的产生。数值结果表明，势垒的非谐性，以平坦的势垒驼峰为特征，是双井系统中振荡器产生的主要决定因素。不影响两个退化最小值和障碍高度。发现变形参数的变化促进了扭结-声子散射势中的几种额外振动模式，从而抑制了扭结-反扭结散射中的两次反弹窗口和振荡器的产生。数值结果表明，势垒的非谐性，以平坦的势垒驼峰为特征，是双井系统中振荡器产生的主要决定因素。