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Title: $DK$ 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:
 [1];  [2];  [3];  [2];  [4]
  1. Graz U.
  2. Stefan Inst., Ljubljana
  3. Fermilab
  4. 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}
}

Conference:
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