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Title: $DK$ and $D^* K$ scattering near threshold

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.
Authors:
 [1] ;  [2] ;  [3] ;  [2] ;  [4]
  1. Graz U.
  2. Stefan Inst., Ljubljana
  3. Fermilab
  4. TRIUMF
Publication Date:
OSTI Identifier:
1326619
Report Number(s):
FERMILAB-CONF-14-409-T; arXiv:1410.6668
1323633
DOE Contract Number:
AC02-07CH11359
Resource Type:
Conference
Resource Relation:
Journal Name: PoS; Journal Volume: LATTICE2014; Conference: 32nd International Symposium on Lattice Field Theory, Brookhaven, NY, USA, 06/23-06/28/2014
Research Org:
Fermi National Accelerator Laboratory (FNAL), Batavia, IL (United States)
Sponsoring Org:
USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS