# $DK$ and $D^* K$ scattering near threshold

## Abstract

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:

- Graz U.
- Stefan Inst., Ljubljana
- Fermilab
- TRIUMF

- Publication Date:

- Research Org.:
- Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)

- Sponsoring Org.:
- USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)

- OSTI Identifier:
- 1326619

- Report Number(s):
- FERMILAB-CONF-14-409-T; arXiv:1410.6668

1323633

- DOE Contract Number:
- AC02-07CH11359

- Resource Type:
- Conference

- Journal Name:
- PoS

- Additional Journal Information:
- Journal Volume: LATTICE2014; Conference: 32nd International Symposium on Lattice Field Theory, Brookhaven, NY, USA, 06/23-06/28/2014

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

### Citation Formats

```
Lang, C. B., Leskovec, Luka, Mohler, Daniel, Prelovsek, Sasa, and Woloshyn, R. M.
```*$DK$ and $D^* K$ scattering near threshold*. United States: N. p., 2015.
Web.

```
Lang, C. B., Leskovec, Luka, Mohler, Daniel, Prelovsek, Sasa, & Woloshyn, R. M.
```*$DK$ and $D^* K$ scattering near threshold*. United States.

```
Lang, C. B., Leskovec, Luka, Mohler, Daniel, Prelovsek, Sasa, and Woloshyn, R. M. Wed .
"$DK$ and $D^* K$ scattering near threshold". United States. https://www.osti.gov/servlets/purl/1326619.
```

```
@article{osti_1326619,
```

title = {$DK$ and $D^* K$ scattering near threshold},

author = {Lang, C. B. and Leskovec, Luka and Mohler, Daniel and Prelovsek, Sasa and Woloshyn, R. M.},

abstractNote = {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.},

doi = {},

journal = {PoS},

number = ,

volume = LATTICE2014,

place = {United States},

year = {2015},

month = {5}

}