标题： 非最小超重暗物质 显示英文标题

标题： Nonminimal Superheavy Dark Matter

摘要： 我们研究了在暴胀期间和之后，通过非最小耦合产生的超重标量场的引力产生。 我们使用德西特背景中的模函数解推导出解析近似，并应用最陡下降法。 我们研究了正负非最小耦合，并表明它们的共动数密度谱在短波和长波区域表现不同。 我们数值计算了广泛范围的超重观测场的共动数密度谱和暗物质丰度，在暴胀期间超过哈勃尺度，具有$m_{\chi} > H_I$，以及非最小耦合范围从$-300 \leq \xi \leq 300$。 在计算允许的暗物质参数空间时，我们施加最大再加热温度约束、原初核合成约束和等曲率约束。 我们表明，正或负耦合$\xi$的存在可以将参数空间扩展到比哈勃暴胀尺度高$3$个数量级，使得这种暗物质候选者在星宝林斯基暴胀模型中可以重达$\sim 10^{16} \, \rm{GeV}$。 显示英文摘要

摘要： We investigate the gravitational production of superheavy scalar fields with nonminimal coupling during and after inflation. We derive analytical approximations using the mode function solution in a de Sitter background and also apply the steepest descent method. We study both positive and negative nonminimal couplings and show that their comoving number density spectra behave differently in the short and long wavelength regimes. We numerically compute the comoving number density spectra and dark matter abundance for a broad range of superheavy spectator fields exceeding the Hubble scale during inflation, with $m_{\chi} > H_I$, and nonminimal couplings ranging from $-300 \leq \xi \leq 300$. When computing the allowed dark matter parameter space, we impose the maximum reheating temperature constraint, the Big Bang nucleosynthesis constraint, and the isocurvature constraint. We show that the presence of a positive or negative coupling $\xi$ can expand the parameter space up to $3$ orders of magnitude above the Hubble inflationary scale, allowing such dark matter candidates to be as heavy as $\sim 10^{16} \, \rm{GeV}$ in the Starobinsky model of inflation.