Spin effects in heavy hybrid mesons on an anisotropic lattice

N. Tanimoto, I. Nakano, Makoto Sakuda

Research output: Contribution to journalArticle

20 Citations (Scopus)

Abstract

We present a quenched calculation of lowest bottomonium hybrid states on an anisotropic lattice with Landau mean-link tadpole improvement, using the improved NRQCD Hamiltonian. We investigate the quark-spin s = 0,1 sectors which contain both the non-exotic 1-- and the exotic 1-+, and demonstrate their degeneracy in the case of the lowest order Hamiltonian. Both states are found at around 1.6 GeV above the Υ ground state. We examine the spin-splitting for several hybrid states (1--, 1-+, 0-+, 2-+) which is due to the -c1 σ · B/2m(b) term in the NRQCD Hamiltohian, all other terms having negligible effect. The spin splittings are well resolved outside errors and are surprisingly large. We investigate their dependence on c1 for several values of c1. We calculate one contribution to these splittings using the Born-Oppenheimer picture for hybrids and show that the observed size of the effect is plausibly explained by mixing with hybrid states with more than one constituent gluon. (C) 2000 Elsevier Science B.V.

Original languageEnglish
Pages (from-to)151-160
Number of pages10
JournalPhysics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume478
Issue number1-3
DOIs
Publication statusPublished - Apr 6 2000
Externally publishedYes

Fingerprint

mesons
sectors
quarks
ground state

Keywords

  • Anisotropic
  • Gauge
  • Lattice
  • QCD

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Cite this

Spin effects in heavy hybrid mesons on an anisotropic lattice. / Tanimoto, N.; Nakano, I.; Sakuda, Makoto.

In: Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, Vol. 478, No. 1-3, 06.04.2000, p. 151-160.

Research output: Contribution to journalArticle

@article{08dfc77b4c794b7c98889b6c4060c882,
title = "Spin effects in heavy hybrid mesons on an anisotropic lattice",
abstract = "We present a quenched calculation of lowest bottomonium hybrid states on an anisotropic lattice with Landau mean-link tadpole improvement, using the improved NRQCD Hamiltonian. We investigate the quark-spin s = 0,1 sectors which contain both the non-exotic 1-- and the exotic 1-+, and demonstrate their degeneracy in the case of the lowest order Hamiltonian. Both states are found at around 1.6 GeV above the Υ ground state. We examine the spin-splitting for several hybrid states (1--, 1-+, 0-+, 2-+) which is due to the -c1 σ · B/2m(b) term in the NRQCD Hamiltohian, all other terms having negligible effect. The spin splittings are well resolved outside errors and are surprisingly large. We investigate their dependence on c1 for several values of c1. We calculate one contribution to these splittings using the Born-Oppenheimer picture for hybrids and show that the observed size of the effect is plausibly explained by mixing with hybrid states with more than one constituent gluon. (C) 2000 Elsevier Science B.V.",
keywords = "Anisotropic, Gauge, Lattice, QCD",
author = "N. Tanimoto and I. Nakano and Makoto Sakuda",
year = "2000",
month = "4",
day = "6",
doi = "10.1016/S0370-2693(00)00225-2",
language = "English",
volume = "478",
pages = "151--160",
journal = "Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics",
issn = "0370-2693",
publisher = "Elsevier",
number = "1-3",

}

TY - JOUR

T1 - Spin effects in heavy hybrid mesons on an anisotropic lattice

AU - Tanimoto, N.

AU - Nakano, I.

AU - Sakuda, Makoto

PY - 2000/4/6

Y1 - 2000/4/6

N2 - We present a quenched calculation of lowest bottomonium hybrid states on an anisotropic lattice with Landau mean-link tadpole improvement, using the improved NRQCD Hamiltonian. We investigate the quark-spin s = 0,1 sectors which contain both the non-exotic 1-- and the exotic 1-+, and demonstrate their degeneracy in the case of the lowest order Hamiltonian. Both states are found at around 1.6 GeV above the Υ ground state. We examine the spin-splitting for several hybrid states (1--, 1-+, 0-+, 2-+) which is due to the -c1 σ · B/2m(b) term in the NRQCD Hamiltohian, all other terms having negligible effect. The spin splittings are well resolved outside errors and are surprisingly large. We investigate their dependence on c1 for several values of c1. We calculate one contribution to these splittings using the Born-Oppenheimer picture for hybrids and show that the observed size of the effect is plausibly explained by mixing with hybrid states with more than one constituent gluon. (C) 2000 Elsevier Science B.V.

AB - We present a quenched calculation of lowest bottomonium hybrid states on an anisotropic lattice with Landau mean-link tadpole improvement, using the improved NRQCD Hamiltonian. We investigate the quark-spin s = 0,1 sectors which contain both the non-exotic 1-- and the exotic 1-+, and demonstrate their degeneracy in the case of the lowest order Hamiltonian. Both states are found at around 1.6 GeV above the Υ ground state. We examine the spin-splitting for several hybrid states (1--, 1-+, 0-+, 2-+) which is due to the -c1 σ · B/2m(b) term in the NRQCD Hamiltohian, all other terms having negligible effect. The spin splittings are well resolved outside errors and are surprisingly large. We investigate their dependence on c1 for several values of c1. We calculate one contribution to these splittings using the Born-Oppenheimer picture for hybrids and show that the observed size of the effect is plausibly explained by mixing with hybrid states with more than one constituent gluon. (C) 2000 Elsevier Science B.V.

KW - Anisotropic

KW - Gauge

KW - Lattice

KW - QCD

UR - http://www.scopus.com/inward/record.url?scp=0034611555&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0034611555&partnerID=8YFLogxK

U2 - 10.1016/S0370-2693(00)00225-2

DO - 10.1016/S0370-2693(00)00225-2

M3 - Article

AN - SCOPUS:0034611555

VL - 478

SP - 151

EP - 160

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

SN - 0370-2693

IS - 1-3

ER -