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190 results on '"Tang, Chun"'

2. The second order Caffarelli-Kohn-Nirenberg identities and inequalities

Author

Chen, Xiao-Ping and Tang, Chun-Lei

Subjects
Mathematics - Analysis of PDEs
Abstract

This paper focuses on optimal constants and optimizers of the second order Caffarelli-Kohn-Nirenberg inequalities. Firstly, we aim to study optimal constants and optimizers for the following second order Caffarelli-Kohn-Nirenberg inequality in radial space: let $N\ge1$, $t\ge p>1$, \begin{equation}\label{0.1} \left(\int_{\mathbb{R}^N} \frac{|\Delta u|^p}{|x|^{p\alpha}} \mathrm{d}x\right)^{\frac{1}{p}} \left[\int_{\mathbb{R}^N} \frac{\left|\nabla u\right|^{\frac{p(t-1)}{p-1}}} {|x|^{\frac{p(t-1)}{p-1}\beta}} \mathrm{d}x\right]^{\frac{p-1}{p}} \ge C(N,p,t,\alpha,\beta) \int_{\mathbb{R}^N} \frac{\left|\nabla u\right|^t}{|x|^{t\gamma}} \mathrm{d}x. \end{equation} Secondly, we establish second order $L^p$-Caffarelli-Kohn-Nirenberg identities, and obtain optimal constants and optimizers of the second order $L^p$-Caffarelli-Kohn-Nirenberg inequalities (i.e., $p=t$ in \eqref{0.1}) in general space. Lastly, under some more general assumptions, we consider the optimal weighted second order Heisenberg Uncertainty Principles, which complements the recent work [``The sharp second order Caffareli-Kohn-Nirenberg inequality and stability estimates for the sharp second order uncertainty principle'', 2022, arXiv:2102.01425]. This paper's main novelty lies in the fact that we research the optimal versions of the second order Caffarelli-Kohn-Nirenberg inequalities \eqref{0.1} in radial space or in general space, and also establish the second order $L^p$-Caffarelli-Kohn-Nirenberg identities.

Published
2024

3. Fully Charmed Tetraquark States in $8_{[c\bar{c}]}\otimes8_{[c\bar{c}]}$ Color Structure via QCD Sum Rules

Author

Tang, Chun-Meng, Duan, Chun-Gui, and Tang, Liang

Subjects
High Energy Physics - Phenomenology
Abstract

Stimulated by the recent experimental results on the fully-charm tetraquark states, we systematically calculate the mass spectra of the fully-charm tetraquark states in $8_{[c\bar{c}]}\otimes8_{[c\bar{c}]}$ color configuration via QCD sum rules. By constructing nine $8_{[c\bar{c}]}\otimes8_{[c\bar{c}]}$ type currents with quantum numbers $J^{PC}=0^{-+},0^{--},1^{-+},1^{+-},1^{--}$ and $2^{++}$, we perform analytic calculation up to dimension six in the Operator Product Expansion (OPE). We find the fully-charm tetraquark states with $J^{PC}=1^{+-},2^{++}$ lie around 6.48 $\sim$ 6.62 GeV while the fully-charm tetraquark states with $J^{PC}=0^{-+},0^{--},1^{--},1^{-+}$ are about 6.85 $\sim$ 7.02 GeV. Notably, the mass predictions for the $c\bar{c}c\bar{c}$ tetraquarks, specifically those with $J^{PC}=2^{++}$, align with the broad structure identified by LHCb. Moreover, the masses of fully-charm tetraquarks with $J^{PC}=0^{-+}$ and $1^{-+}$ are anticipated to match closely with the mass of X(6900), considering the margin of error. Such findings hint at the presence of some $8_{[c\bar{c}]}\otimes8_{[c\bar{c}]}$ components within the di-$J/\psi$ structures observed by LHCb. The predictions for tetraquark states with $J^{PC}=0^{--},1^{+-},1^{--}$ may be accessible in the future BelleII, Super-B, PANDA, and LHCb experiments., Comment: 19 pages, 4 figures, 1 table. To match the published version

Published
2024

6. Mirror-image cyclodextrins

Author

Wu, Yong, Aslani, Saba, Han, Han, Tang, Chun, Wu, Guangcheng, Li, Xuesong, Wu, Huang, Stern, Charlotte L., Guo, Qing-Hui, Qiu, Yunyan, Chen, Aspen X.-Y., Jiao, Yang, Zhang, Ruihua, David, Arthur H. G., Armstrong, Daniel W., and Fraser Stoddart, J.

Published
2024
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32. Recent progress in hydrogen: From solar to solar cell

Author

Li, Yanlin, Ma, Zhu, Hou, Shanyue, Liu, Qianyu, Yan, Guangyuan, Li, Xiaoshan, Yu, Tangjie, Du, Zhuowei, Yang, Junbo, Chen, Yi, You, Wei, Yang, Qiang, Xiang, Yan, Tang, Shufang, Yue, Xuelin, Zhang, Meng, Zhang, Wenfeng, Yu, Jian, Huang, Yuelong, Xie, Jiale, Tang, Chun, Mai, Yaohua, and Sun, Kuan

Published
2024
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46. Picometer-Scale Atomic Shifts Governing Subdisordered Structures in Diamond

Author

Cui, Junfeng, primary, Yang, Yingying, additional, Yang, Mingyang, additional, Yang, Guoyong, additional, Chen, Guoxin, additional, Zhang, Lei, additional, Lin, Cheng-Te, additional, Liu, Sha, additional, Tang, Chun, additional, Ke, Peiling, additional, Lu, Yang, additional, Nishimura, Kazuhito, additional, and Jiang, Nan, additional

Published
2024
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50. Attention‐deficit/hyperactivity disorder and dopamine receptor D4 (DRD4) exon 3 variable number of tandem repeats (VNTR) 2‐repeat allele

Author

Baum, Larry, primary, Lee, Chi Chiu, additional, Ye, Rui, additional, Zhong, Yuanxin, additional, Hung, Se Fong, additional, Tang, Chun Pan, additional, Ho, Ting Pong, additional, Swanson, James M, additional, Moyzis, Robert K, additional, Sham, Pak‐Chung, additional, and Leung, Patrick Wing‐Leung, additional

Published
2024
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