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arXiv 2406.01747nucl-thnucl-ex
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用于校准协变能量密度泛函的通用约化基

A universal reduced basis for the calibration of covariant energy density functionals

Amy L. Anderson, J. Piekarewicz

AI总结:

本文利用约化基方法构建了适用于整个核素区的Dirac轨道“通用”基,克服了负能态带来的复杂性,能以极低计算成本准确复现高保真模型,为开发快速准确的模拟器及协变能量密度泛函的Bayesian优化奠定基础。

摘要:

约化基方法被用于构建Dirac轨道的“通用”基,该基可适用于整个核素区以校准协变能量密度泛函。相较于我们早期使用非相对论Schrödinger方程的工作,由于负能态的存在,Dirac方程增加了额外的复杂性。然而,一旦缓解此问题,所得约化基便能以极低的计算成本,准确高效地复现高保真模型。我们确信,所得约化基将作为开发快速准确模拟器的基石。进而,这些模拟器将在协变能量密度泛函的Bayesian优化中发挥关键作用。

英文摘要:

The reduced basis method is used to construct a "universal" basis of Dirac orbitals that may be applicable throughout the nuclear chart to calibrate covariant energy density functionals. Relative to our earlier work using the non-relativistic Schrödinger equation, the Dirac equation adds an extra layer of complexity due to the existence of negative energy states. However, once this problem is mitigated, the resulting reduced basis is able to accurately and efficiently reproduce the high-fidelity model at a fraction of the computational cost. We are confident that the resulting reduced basis will serve as a foundational element in developing rapid and accurate emulators. In turn, these emulators will play a critical role in the Bayesian optimization of covariant energy density functionals.

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。

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