Material Expressions of Legitimacy among Nomadic Regimes in the Northern and Sui-Tang Dynasties: Focusing on Roof Tiles Unearthed from Royal Buddhist Temples

13301甲第5105号博士（文学）金沢大学博士論文要旨Abstract 要約Outline 以下に掲載予定：『鄴城遺址－北斉大荘厳寺1号・5号建築出土瓦件整理研究報告』2021. 中国社会科学院考古研究所・河北省文物研究所編集/中国社会科学出版

Material Expressions of Legitimacy among Nomadic Regimes in the Northern and Sui-Tang Dynasties: Focusing on Roof Tiles Unearthed from Royal Buddhist Temples

13301甲第5105号博士（文学）金沢大学博士論文本文Full 以下に掲載予定：『鄴城遺址－北斉大荘厳寺1号・5号建築出土瓦件整理研究報告』2021. 中国社会科学院考古研究所・河北省文物研究所編集/中国社会科学出版

Equation governing the probability density evolution of multi-dimensional linear fractional differential systems subject to Gaussian white noise

Stochastic fractional differential systems are important and useful in the mathematics, physics, and engineering fields. However, the determination of their probabilistic responses is difficult due to their non-Markovian property. The recently developed globally-evolving-based generalized density evolution equation (GE-GDEE), which is a unified partial differential equation (PDE) governing the transient probability density function (PDF) of a generic path-continuous process, including non-Markovian ones, provides a feasible tool to solve this problem. In the paper, the GE-GDEE for multi-dimensional linear fractional differential systems subject to Gaussian white noise is established. In particular, it is proved that in the GE-GDEE corresponding to the state-quantities of interest, the intrinsic drift coefficient is a time-varying linear function, and can be analytically determined. In this sense, an alternative low-dimensional equivalent linear integer-order differential system with exact closed-form coefficients for the original high-dimensional linear fractional differential system can be constructed such that their transient PDFs are identical. Specifically, for a multi-dimensional linear fractional differential system, if only one or two quantities are of interest, GE-GDEE is only in one or two dimensions, and the surrogate system would be a one- or two-dimensional linear integer-order system. Several examples are studied to assess the merit of the proposed method. Though presently the closed-form intrinsic drift coefficient is only available for linear stochastic fractional differential systems, the findings in the present paper provide a remarkable demonstration on the existence and eligibility of GE-GDEE for the case that the original high-dimensional system itself is non-Markovian, and provide insights for the physical-mechanism-informed determination of intrinsic drift and diffusion coefficients of GE-GDEE of more generic complex nonlinear systems

Doubly Charmed Tetraquark Tcc+{T}_{cc}^{+} from Lattice QCD near Physical Point

クォーク4個から成る「純粋テトラクォーク」 --加速器実験で見えた新粒子をスーパーコンピュータ「富岳」で解明--. 京都大学プレスリリース. 2023-10-20.The doubly charmed tetraquark ${T}_{cc}^{+}$ recently discovered by the LHCb Collaboration is studied on the basis of (2+1)-flavor lattice QCD simulations of the D* D system with nearly physical pion mass $m_π$ = 146 MeV. The interaction of D* D in the isoscalar and S-wave channel, derived from the hadronic spacetime correlation by the HAL QCD method, is attractive for all distances and leads to a near-threshold virtual state with a pole position $E_{pole}$ = −59($^{+53}_{-99}$)($^{+2}_{-67}$) keV and a large scattering length 1/a₀ = 0.05 (5)($^{+2}_{-2}$ fm⁻¹.The virtual state is shown to evolve into a loosely bound state as $m_π$ decreases to its physical value by using a potential modified to $m_π$ = 135 MeV based on the pion-exchange interaction. Such a potential is found to give a semiquantitative description of the LHCb data on the D⁰D⁰π+ mass spectrum. Future study is necessary to perform physical-point simulations with the isospin-breaking and open three-body-channel effects taken into account