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|Title:||Hamiltonian effective field theory study of the N* (1440) resonance in lattice QCD|
|Citation:||Physical Review D, 2017; 95(3):034034-1-034034-14|
|Publisher:||American Physical Society|
|Zhan-Wei Liu, Waseem Kamleh, Derek B. Leinweber, Finn M. Stokes, Anthony W. Thomas and Jia-Jun Wu|
|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.|
|Rights:||© 2017 American Physical Society|
|Appears in Collections:||Physics publications|
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