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arXiv · 2502.07438

Low-energy $DD$ scattering in lattice QCD

Pan-Pan Shi·Feng-Kun Guo·Chuan Liu·Liuming Liu·Peng Sun·Jia-Jun Wu·Hanyang Xing
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Abstract

We present the first lattice QCD calculation of single-channel $DD$ scattering with quantum numbers $I(J^P)=1(0^+)$ and $0(1^-)$. The calculation is performed on the $2+1$ flavor Wilson-Clover ensembles with a lattice spacing $a\simeq 0.077$ fm and two different pion masses, $m_{\pi}\simeq207$ and $305$ MeV. The scattering parameters are determined using the L\"uscher's finite volume method. Our results indicate a weak repulsive interaction in the $1(0^+)$ channel and a slightly attractive interaction in the $0(1^-)$ channel. The $S$-wave isovector $DD$ scattering length and effective range, extrapolated to the physical pion mass, are $(-0.25\pm0.08\pm 0.12)$ fm and $(-5.7\pm4.5\pm 1.7)$ fm, respectively.

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Pan-Pan Shi, Feng-Kun Guo, Chuan Liu, Liuming Liu, Peng Sun, Jia-Jun Wu, Hanyang Xing. 2025-02-11. Low-energy $DD$ scattering in lattice QCD. https://doi.org/10.1103/6xsx-ldwc

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