Potential description of the charmonium from lattice QCD

Taichi Kawanai; Shoichi Sasaki

doi:10.1063/1.4938662

Potential description of the charmonium from lattice QCD

Taichi Kawanai, Shoichi Sasaki

SCI - Physics

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

4 Citations (Scopus)

Abstract

We present spin-independent and spin-spin interquark potentials for charmonium states, that are calculated using a relativistic heavy quark action for charm quarks on the PACS-CS gauge configurations generated with the Iwasaki gauge action and 2+1 flavors of Wilson clover quark. The interquark potential with finite quark masses is defined through the equal-time Bethe-Salpeter amplitude. The light and strange quark masses are close to the physical point where the pion mass corresponds to Mπ ≈ 156(7) MeV, and charm quark mass is tuned to reproduce the experimental values of ηc and J/ψ states. Our simulations are performed with a lattice cutoff of a^-1 ≈ 2.2 GeV and a spatial volume of (3 fm)³.We solve the nonrelativistic Schrödinger equation with resulting charmonium potentials as theoretical inputs. The resultant charmonium spectrum below the open charm threshold shows a fairly good agreement with experimental data of well-established charmonium states.

Original language	English
Title of host publication	XIth Conference on Quark Confinement and Hadron Spectrum
Editors	Nora Brambilla, Sergei Kolevatov, Alexander Andrianov, Victor Kim
Publisher	American Institute of Physics Inc.
ISBN (Electronic)	9780735413481
DOIs	https://doi.org/10.1063/1.4938662
Publication status	Published - 2016 Jan 22
Event	11th Conference on Quark Confinement and Hadron Spectrum - Saint Petersburg, Russian Federation Duration: 2014 Sep 8 → 2014 Sep 12

Publication series

Name	AIP Conference Proceedings
Volume	1701
ISSN (Print)	0094-243X
ISSN (Electronic)	1551-7616

Other

Other	11th Conference on Quark Confinement and Hadron Spectrum
Country	Russian Federation
City	Saint Petersburg
Period	14/9/8 → 14/9/12

Keywords

Lattice QCD calculations
Lattice gauge theory
Quantum chromodynamics

ASJC Scopus subject areas

Physics and Astronomy(all)

Access to Document

10.1063/1.4938662

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Potential description of the charmonium from lattice QCD. / Kawanai, Taichi; Sasaki, Shoichi.

XIth Conference on Quark Confinement and Hadron Spectrum. ed. / Nora Brambilla; Sergei Kolevatov; Alexander Andrianov; Victor Kim. American Institute of Physics Inc., 2016. 050022 (AIP Conference Proceedings; Vol. 1701).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Kawanai, T & Sasaki, S 2016, Potential description of the charmonium from lattice QCD. in N Brambilla, S Kolevatov, A Andrianov & V Kim (eds), XIth Conference on Quark Confinement and Hadron Spectrum., 050022, AIP Conference Proceedings, vol. 1701, American Institute of Physics Inc., 11th Conference on Quark Confinement and Hadron Spectrum, Saint Petersburg, Russian Federation, 14/9/8. https://doi.org/10.1063/1.4938662

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abstract = "We present spin-independent and spin-spin interquark potentials for charmonium states, that are calculated using a relativistic heavy quark action for charm quarks on the PACS-CS gauge configurations generated with the Iwasaki gauge action and 2+1 flavors of Wilson clover quark. The interquark potential with finite quark masses is defined through the equal-time Bethe-Salpeter amplitude. The light and strange quark masses are close to the physical point where the pion mass corresponds to Mπ ≈ 156(7) MeV, and charm quark mass is tuned to reproduce the experimental values of ηc and J/ψ states. Our simulations are performed with a lattice cutoff of a-1 ≈ 2.2 GeV and a spatial volume of (3 fm)3.We solve the nonrelativistic Schr{\"o}dinger equation with resulting charmonium potentials as theoretical inputs. The resultant charmonium spectrum below the open charm threshold shows a fairly good agreement with experimental data of well-established charmonium states.",

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AU - Sasaki, Shoichi

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N2 - We present spin-independent and spin-spin interquark potentials for charmonium states, that are calculated using a relativistic heavy quark action for charm quarks on the PACS-CS gauge configurations generated with the Iwasaki gauge action and 2+1 flavors of Wilson clover quark. The interquark potential with finite quark masses is defined through the equal-time Bethe-Salpeter amplitude. The light and strange quark masses are close to the physical point where the pion mass corresponds to Mπ ≈ 156(7) MeV, and charm quark mass is tuned to reproduce the experimental values of ηc and J/ψ states. Our simulations are performed with a lattice cutoff of a-1 ≈ 2.2 GeV and a spatial volume of (3 fm)3.We solve the nonrelativistic Schrödinger equation with resulting charmonium potentials as theoretical inputs. The resultant charmonium spectrum below the open charm threshold shows a fairly good agreement with experimental data of well-established charmonium states.

AB - We present spin-independent and spin-spin interquark potentials for charmonium states, that are calculated using a relativistic heavy quark action for charm quarks on the PACS-CS gauge configurations generated with the Iwasaki gauge action and 2+1 flavors of Wilson clover quark. The interquark potential with finite quark masses is defined through the equal-time Bethe-Salpeter amplitude. The light and strange quark masses are close to the physical point where the pion mass corresponds to Mπ ≈ 156(7) MeV, and charm quark mass is tuned to reproduce the experimental values of ηc and J/ψ states. Our simulations are performed with a lattice cutoff of a-1 ≈ 2.2 GeV and a spatial volume of (3 fm)3.We solve the nonrelativistic Schrödinger equation with resulting charmonium potentials as theoretical inputs. The resultant charmonium spectrum below the open charm threshold shows a fairly good agreement with experimental data of well-established charmonium states.

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KW - Lattice gauge theory

KW - Quantum chromodynamics

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