Hamiltonian effective field theory study of the N* (1440) resonance in lattice QCD

Date

2017

Authors

Liu, Z.-W.
Kamleh, W.
Leinweber, D.
Stokes, F.
Thomas, A.
Wu, J.-J.

Editors

Advisors

Journal Title

Journal ISSN

Volume Title

Type:

Journal article

Citation

Physical Review D (particles, fields, gravitation, and cosmology), 2017; 95(3):034034-1-034034-14

Statement of Responsibility

Zhan-Wei Liu, Waseem Kamleh, Derek B. Leinweber, Finn M. Stokes, Anthony W. Thomas and Jia-Jun Wu

Conference Name

DOI

10.1103/PhysRevD.95.034034

Abstract

We examine the phase shifts and inelasticities associated with the N∗(1440) Roper resonance, and we connect these infinite-volume observables to the finite-volume spectrum of lattice QCD using Hamiltonian effective field theory. We explore three hypotheses for the structure of the Roper resonance. All three hypotheses are able to describe the scattering data well. In the third hypothesis the Roper resonance couples the low-lying bare basis-state component associated with the ground-state nucleon with the virtual meson-baryon contributions. Here the nontrivial superpositions of the meson-baryon scattering states are complemented by bare basis-state components, explaining their observation in contemporary lattice QCD calculations. The merit of this scenario lies in its ability to not only describe the observed nucleon energy levels in large-volume lattice QCD simulations but also explain why other low-lying states have been missed in today’s lattice QCD results for the nucleon spectrum.

School/Discipline

Dissertation Note

Provenance

Description

Access Status

Rights

© 2017 American Physical Society

License

Grant ID

http://purl.org/au-research/grants/arc/CE1101004
 http://purl.org/au-research/grants/arc/LE160100051
 http://purl.org/au-research/grants/arc/DP150103101
 http://purl.org/au-research/grants/arc/DP150103164
 http://purl.org/au-research/grants/arc/DP120104627
 http://purl.org/au-research/grants/arc/LE120100181

Published Version

https://doi.org/10.1103/physrevd.95.034034

Call number

Persistent link to this record

http://hdl.handle.net/2440/105700