Roper resonance and S 11(1535) from lattice QCD

N. Mathur; Y. Chen; S. J. Dong; T. Draper; I. Horváth; F. X. Lee; K. F. Liu; J. B. Zhang

doi:10.1016/j.physletb.2004.11.010

Roper resonance and S ₁₁(1535) from lattice QCD

N. Mathur, Y. Chen, S. J. Dong, T. Draper, I. Horváth, F. X. Lee, K. F. Liu, J. B. Zhang

Research output: Contribution to journal › Article › peer-review

108 Scopus citations

Abstract

Using the constrained-curve fitting method and overlap fermions with the lowest pion mass at 180 MeV, we observe that the masses of the first positive and negative parity excited states of the nucleon tend to cross over as the quark masses are taken to the chiral limit. Both results at the physical pion mass agree with the experimental values of the Roper resonance (N1/2+(1440)) and S11 (N1/2-(1535)). This is seen for the first time in a lattice QCD calculation. These results are obtained on a quenched Iwasaki 163×28 lattice with a=0.2 fm. We also extract the ghost η′N states (a quenched artifact) which are shown to decouple from the nucleon interpolation field above mπ∼300 MeV. From the quark mass dependence of these states in the chiral region, we conclude that spontaneously broken chiral symmetry dictates the dynamics of light quarks in the nucleon.

Original language	English
Pages (from-to)	137-143
Number of pages	7
Journal	Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume	605
Issue number	1-2
DOIs	https://doi.org/10.1016/j.physletb.2004.11.010
State	Published - Jan 6 2005

Bibliographical note

Funding Information:
This work is partially supported by DOE Grants DE-FG05-84ER40154 and DE-FG02-95ER40907. We wish to thank A. Bernstein, G.E. Brown, L. Glozman, D.O. Riska, and S. Sasaki for useful discussions.

ASJC Scopus subject areas

Nuclear and High Energy Physics

Access to Document

10.1016/j.physletb.2004.11.010

Cite this

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title = "Roper resonance and S 11(1535) from lattice QCD",

abstract = "Using the constrained-curve fitting method and overlap fermions with the lowest pion mass at 180 MeV, we observe that the masses of the first positive and negative parity excited states of the nucleon tend to cross over as the quark masses are taken to the chiral limit. Both results at the physical pion mass agree with the experimental values of the Roper resonance (N1/2+(1440)) and S11 (N1/2-(1535)). This is seen for the first time in a lattice QCD calculation. These results are obtained on a quenched Iwasaki 163×28 lattice with a=0.2 fm. We also extract the ghost η′N states (a quenched artifact) which are shown to decouple from the nucleon interpolation field above mπ∼300 MeV. From the quark mass dependence of these states in the chiral region, we conclude that spontaneously broken chiral symmetry dictates the dynamics of light quarks in the nucleon.",

author = "N. Mathur and Y. Chen and Dong, {S. J.} and T. Draper and I. Horv{\'a}th and Lee, {F. X.} and Liu, {K. F.} and Zhang, {J. B.}",

note = "Funding Information: This work is partially supported by DOE Grants DE-FG05-84ER40154 and DE-FG02-95ER40907. We wish to thank A. Bernstein, G.E. Brown, L. Glozman, D.O. Riska, and S. Sasaki for useful discussions. ",

year = "2005",

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doi = "10.1016/j.physletb.2004.11.010",

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T1 - Roper resonance and S 11(1535) from lattice QCD

AU - Mathur, N.

AU - Chen, Y.

AU - Dong, S. J.

AU - Draper, T.

AU - Horváth, I.

AU - Lee, F. X.

AU - Liu, K. F.

AU - Zhang, J. B.

N1 - Funding Information: This work is partially supported by DOE Grants DE-FG05-84ER40154 and DE-FG02-95ER40907. We wish to thank A. Bernstein, G.E. Brown, L. Glozman, D.O. Riska, and S. Sasaki for useful discussions.

PY - 2005/1/6

Y1 - 2005/1/6

N2 - Using the constrained-curve fitting method and overlap fermions with the lowest pion mass at 180 MeV, we observe that the masses of the first positive and negative parity excited states of the nucleon tend to cross over as the quark masses are taken to the chiral limit. Both results at the physical pion mass agree with the experimental values of the Roper resonance (N1/2+(1440)) and S11 (N1/2-(1535)). This is seen for the first time in a lattice QCD calculation. These results are obtained on a quenched Iwasaki 163×28 lattice with a=0.2 fm. We also extract the ghost η′N states (a quenched artifact) which are shown to decouple from the nucleon interpolation field above mπ∼300 MeV. From the quark mass dependence of these states in the chiral region, we conclude that spontaneously broken chiral symmetry dictates the dynamics of light quarks in the nucleon.

AB - Using the constrained-curve fitting method and overlap fermions with the lowest pion mass at 180 MeV, we observe that the masses of the first positive and negative parity excited states of the nucleon tend to cross over as the quark masses are taken to the chiral limit. Both results at the physical pion mass agree with the experimental values of the Roper resonance (N1/2+(1440)) and S11 (N1/2-(1535)). This is seen for the first time in a lattice QCD calculation. These results are obtained on a quenched Iwasaki 163×28 lattice with a=0.2 fm. We also extract the ghost η′N states (a quenched artifact) which are shown to decouple from the nucleon interpolation field above mπ∼300 MeV. From the quark mass dependence of these states in the chiral region, we conclude that spontaneously broken chiral symmetry dictates the dynamics of light quarks in the nucleon.

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

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