有限振子基中的紫外外推
Ultraviolet extrapolations in finite oscillator bases
摘要：
在多体计算中使用有限谐振子空间引入了红外（IR）和紫外（UV）误差。通过在适当确定的半径L_eff处施加硬壁边界条件，可以很好地近似IR效应。我们表明，对偶的振荡器意味着紫外线的影响同样很好地描述施加一个尖锐的动量截止在动量Lambda_eff互补L_eff。通过考虑两体系统与可分离的潜力，我们表明，UV能量校正取决于细节的潜力，在相反的IR能量校正，这只取决于S-矩阵。适应的可分离的治疗更一般的相互作用的开发和应用模型的潜力，以及现实的潜力的氘核。以前的成功与一个简单的唯象形式的UV误差也得到了解释。讨论了基于标度变元的A > 2控制外推的可能性。
英文摘要：
The use of finite harmonic oscillator spaces in many-body calculations introduces both infrared (IR) and ultraviolet (UV) errors. The IR effects are well approximated by imposing a hard-wall boundary condition at a properly identified radius L_eff. We show that duality of the oscillator implies that the UV effects are equally well described by imposing a sharp momentum cutoff at a momentum Lambda_eff complementary to L_eff. By considering two-body systems with separable potentials, we show that the UV energy corrections depend on details of the potential, in contrast to the IR energy corrections, which depend only on the S-matrix. An adaptation of the separable treatment to more general interactions is developed and applied to model potentials as well as to the deuteron with realistic potentials. The previous success with a simple phenomenological form for the UV error is also explained. Possibilities for controlled extrapolations for A > 2 based on scaling arguments are discussed.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
