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Title: Splittings of low-lying charmonium masses at the physical point

Abstract

We present high-precision results from lattice QCD for the mass splittings of the low-lying charmonium states. For the valence charm quark, the calculation uses Wilson-clover quarks in the Fermilab interpretation. The gauge-field ensembles are generated in the presence of up, down, and strange sea quarks, based on the improved staggered (asqtad) action, and gluon fields, based on the one-loop, tadpole-improved gauge action. We use five lattice spacings and two values of the light sea quark mass to extrapolate the results to the physical point. An enlarged set of interpolating operators is used for a variational analysis to improve the determination of the energies of the ground states in each channel. We present and implement a continuum extrapolation within the Fermilab interpretation, based on power-counting arguments, and thoroughly discuss all sources of systematic uncertainty. We compare our results for various mass splittings with their experimental values, namely, the 1S hyperfine splitting, the 1P-1S splitting and the P-wave spin-orbit and tensor splittings. As a result, given the uncertainty related to the width of the resonances, we find excellent agreement.

Authors:
ORCiD logo [1]; ORCiD logo [2];  [1];  [3]; ORCiD logo [4]
  1. Univ. of Utah, Salt Lake City, UT (United States)
  2. Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States); Technische Univ. Munchen, Garching (Germany)
  3. Helmholtz-Institut Mainz, Mainz (Germany); Johannes Gutenberg-Univ. Mainz, Mainz (Germany)
  4. Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)
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)
Contributing Org.:
Fermilab Lattice and MILC Collaborations
OSTI Identifier:
1496901
Alternate Identifier(s):
OSTI ID: 1497721
Report Number(s):
arXiv:1810.09983; FERMILAB-PUB-18-440-T; MITP/18-097
Journal ID: ISSN 2470-0010; PRVDAQ; 1699997
Grant/Contract Number:  
AC02-07CH11359; FC02-12ER41879
Resource Type:
Published Article
Journal Name:
Physical Review D
Additional Journal Information:
Journal Volume: 99; Journal Issue: 3; Journal ID: ISSN 2470-0010
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats

DeTar, Carleton, Kronfeld, Andreas S., Lee, Song-haeng, Mohler, Daniel, and Simone, James N. Splittings of low-lying charmonium masses at the physical point. United States: N. p., 2019. Web. doi:10.1103/PhysRevD.99.034509.
DeTar, Carleton, Kronfeld, Andreas S., Lee, Song-haeng, Mohler, Daniel, & Simone, James N. Splittings of low-lying charmonium masses at the physical point. United States. doi:10.1103/PhysRevD.99.034509.
DeTar, Carleton, Kronfeld, Andreas S., Lee, Song-haeng, Mohler, Daniel, and Simone, James N. Wed . "Splittings of low-lying charmonium masses at the physical point". United States. doi:10.1103/PhysRevD.99.034509.
@article{osti_1496901,
title = {Splittings of low-lying charmonium masses at the physical point},
author = {DeTar, Carleton and Kronfeld, Andreas S. and Lee, Song-haeng and Mohler, Daniel and Simone, James N.},
abstractNote = {We present high-precision results from lattice QCD for the mass splittings of the low-lying charmonium states. For the valence charm quark, the calculation uses Wilson-clover quarks in the Fermilab interpretation. The gauge-field ensembles are generated in the presence of up, down, and strange sea quarks, based on the improved staggered (asqtad) action, and gluon fields, based on the one-loop, tadpole-improved gauge action. We use five lattice spacings and two values of the light sea quark mass to extrapolate the results to the physical point. An enlarged set of interpolating operators is used for a variational analysis to improve the determination of the energies of the ground states in each channel. We present and implement a continuum extrapolation within the Fermilab interpretation, based on power-counting arguments, and thoroughly discuss all sources of systematic uncertainty. We compare our results for various mass splittings with their experimental values, namely, the 1S hyperfine splitting, the 1P-1S splitting and the P-wave spin-orbit and tensor splittings. As a result, given the uncertainty related to the width of the resonances, we find excellent agreement.},
doi = {10.1103/PhysRevD.99.034509},
journal = {Physical Review D},
number = 3,
volume = 99,
place = {United States},
year = {2019},
month = {2}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
DOI: 10.1103/PhysRevD.99.034509

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