Pion mass dependence in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>D</mml:mi><mml:mi>π</mml:mi></mml:math> scattering and the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msubsu
Lattice QCD results for isospin <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"><a:mrow><a:mi>I</a:mi><a:mo>=</a:mo><a:mfrac><a:mrow><a:mn>1</a:mn></a:mrow><a:mrow><a:mn>2</a:mn></a:mrow></a:mfrac></a:mrow></a:math> <c:math xmlns:c="http://www.w3.org/1998/Math/MathML" display="inline"><c:mi>D</c:mi><c:mi>π</c:mi></c:math> scattering are presented. Utilizing a series of <e:math xmlns:e="http://www.w3.org/1998/Math/MathML" display="inline"><e:msub><e:mi>N</e:mi><e:mi mathvariant="normal">f</e:mi></e:msub><e:mo>=</e:mo><e:mn>2</e:mn><e:mo>+</e:mo><e:mn>1</e:mn></e:math> Wilson-Clover ensembles with pion masses of <h:math xmlns:h="http://www.w3.org/1998/Math/MathML" display="inline"><h:msub><h:mi>m</h:mi><h:mi>π</h:mi></h:msub><h:mo>≈</h:mo><h:mn>133</h:mn></h:math>, 208, 305, and 317 MeV, various two-particle operators are constructed, and the corresponding finite-volume spectra are determined. The <j:math xmlns:j="http://www.w3.org/1998/Math/MathML" display="inline"><j:mi>S</j:mi></j:math>- and <l:math xmlns:l="http://www.w3.org/1998/Math/MathML" display="inline"><l:mi>P</l:mi></l:math>-wave scattering phase shifts are extracted using the Lüscher approach. A clear trend for the motion of the <n:math xmlns:n="http://www.w3.org/1998/Math/MathML" display="inline"><n:msubsup><n:mi>D</n:mi><n:mn>0</n:mn><n:mo>*</n:mo></n:msubsup><n:mo stretchy="false">(</n:mo><n:mn>2300</n:mn><n:mo stretchy="false">)</n:mo></n:math> pole is identified. With the physical pion mass configurations also included, this calculation constitutes the first lattice calculation in which the pion mass dependence of the <r:math xmlns:r="http://www.w3.org/1998/Math/MathML" display="inline"><r:msubsup><r:mi>D</r:mi><r:mn>0</r:mn><r:mo>*</r:mo></r:msubsup><r:mo stretchy="false">(</r:mo><r:mn>2300</r:mn><r:mo stretchy="false">)</r:mo></r:math> pole is investigated and the scattering lengths are extrapolated/interpolated to the physical pion mass in <v:math xmlns:v="http://www.w3.org/1998/Math/MathML" display="inline"><v:mi>D</v:mi><v:mi>π</v:mi></v:math> scattering.
Authors
- Haobo Yan (ORCID: https://orcid.org/0000-0003-3238-6879)
- Liuming Liu (ORCID: https://orcid.org/0000-0002-7988-0631)
- Chuan Liu (ORCID: https://orcid.org/0000-0003-4497-6868)
- Yu Meng (ORCID: https://orcid.org/0000-0003-1386-9787)
- Hanyang Xing (ORCID: https://orcid.org/0000-0002-7127-6587)
Institutions
- Peking University (CN)
- Zhengzhou University (CN)
- Collaborative Innovation Center of Quantum Matter (CN)
- Institute of Modern Physics (CN)
- University of Chinese Academy of Sciences (CN)
Publication Details
- Journal
- Physical review. D/Physical review. D.
- Published
- 2025-01-10
- DOI
- https://doi.org/10.1103/physrevd.111.014503
- Citations
- 8
- Primary Topic
- Quantum Chromodynamics and Particle Interactions
- Type
- article
- Field-Weighted Citation Impact
- 14.96
Funders
- Deutsche Forschungsgemeinschaft
- National Natural Science Foundation of China
- Chinese Academy of Sciences
- Peking University
- Basic and Applied Basic Research Foundation of Guangdong Province
- National Supercomputing Center, Korea Institute of Science and Technology Information