$DK$ and $D^* K$ scattering near threshold
- Graz U.
- Stefan Inst., Ljubljana
- Fermilab
- TRIUMF
We study the three $$D_s$$ quantum channels $J^P = 0^+$, $1^+$ and $2^+$ where experiments have identified the charm-strange states $$D^*_{s0} (2317)$$, $$D_{s1}(2460)$$, $$D_{s1}(2536)$$ near the $DK$ and $D^*K$ thresholds, and $$D^*_{s2}(2573)$$. We consider correlation functions for sets of $$\overline q q$$ operators and, for $J^P = 0^+$, $1^+$, also the $DK$ and $D^*K$ meson-meson interpolators and determine for these cases values of the elastic scattering amplitude. Constructing the full set of correlators requires propagators which connect any pair of lattice sites. For one ensemble of gauge configurations ($$32^3\times 64$$, $$m_\pi\approx 156$$ MeV) a stochastic distillation variant is employed and for another ensemble ($$16^3\times 32$$, $$m_\pi\approx 266$$ MeV) we use the full distillation method. Both, $$D^*_{s0} (2317)$$ and $$D_{s1}(2460)$$, are found as bound states below threshold, whereas $$D_{s1}(2536)$$, and $$D^*_{s2}(2573)$$ are identified as narrow resonances close to the experimental masses.
- Research Organization:
- Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)
- Sponsoring Organization:
- USDOE Office of Science (SC), High Energy Physics (HEP)
- DOE Contract Number:
- AC02-07CH11359
- OSTI ID:
- 1326619
- Report Number(s):
- FERMILAB-CONF-14-409-T; arXiv:1410.6668; 1323633
- Journal Information:
- PoS, Vol. LATTICE2014; Conference: 32nd International Symposium on Lattice Field Theory, Brookhaven, NY, USA, 06/23-06/28/2014
- Country of Publication:
- United States
- Language:
- English
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