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DK/Dπ scattering and an exotic virtual bound state at the SU(3) flavour symmetric point from lattice QCD
- Source :
- Journal of High Energy Physics, Vol 2024, Iss 7, Pp 1-39 (2024)
- Publication Year :
- 2024
- Publisher :
- SpringerOpen, 2024.
-
Abstract
- Abstract Elastic S-wave scattering of a charm meson with a light pseudoscalar meson in J P = 0+ is investigated in the flavour 3 ¯ $$ \overline{\textbf{3}} $$ , 6 and 15 ¯ $$ \overline{\textbf{15}} $$ sectors at the SU(3) f flavour point using lattice QCD, working on three volumes with m π ≈ 700 MeV. Large bases of interpolating operators are employed to extract finite-volume spectra, which are subsequently used with the Lüscher method to provide constraints on infinite-volume scattering amplitudes. Examining the singularities of the amplitudes, the S-wave amplitude in the flavour 3 ¯ $$ \overline{\textbf{3}} $$ sector is found to contain a deeply bound state, strongly coupled to elastic threshold, corresponding to the J P = 0 + D s 0 ∗ 2317 $$ {J}^P={0}^{+}\ {D}_{s0}^{\ast }(2317) $$ . In the exotic flavour 6 sector a virtual bound state is found at s pole $$ \sqrt{s_{\textrm{pole}}} $$ = 2510 – 2610 MeV, roughly 40 – 140 MeV below threshold, whereas the 15 ¯ $$ \overline{\textbf{15}} $$ channel shows weak repulsion.
Details
- Language :
- English
- ISSN :
- 10298479
- Volume :
- 2024
- Issue :
- 7
- Database :
- Directory of Open Access Journals
- Journal :
- Journal of High Energy Physics
- Publication Type :
- Academic Journal
- Accession number :
- edsdoj.8136766f24544aa6be18566fcbb5ec6a
- Document Type :
- article
- Full Text :
- https://doi.org/10.1007/JHEP07(2024)012