Searching for the first radial excitation of the Δ(1232) in lattice QCD

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2024

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Hockley, L.
Kamleh, W.
Leinweber, D.B.
Thomas, A.W.

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Journal of Physics G: Nuclear and Particle Physics, 2024; 51(6):065106-1-065106-24

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Liam Hockley, Waseem Kamleh, Derek Leinweber and Anthony Thomas

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Abstract

We present a lattice QCD analysis of the Δ-baryon spectrum, with the goal of finding the position of the 2s radial excitation of the Δ(1232) ground state. Using smeared three-quark operators in a correlation matrix analysis, we report masses for the ground, first and second excited states of the J(P) = 3/2⁺ spectrum across a broad range of m²(∏). We identify the lowest lying state as being a 1s state, consistent with the well known Δ(1232). The first excitation is identified as a 2s state, but is found to have a mass of approximately 2.15 GeV on our ∼3 fm lattice, which does not appear to be associated with the Δ(1600) resonance in a significant manner. We also report on the spin-1/2 and odd-parity states accessible via our methods. The large excitation energies of the radial excitations provide a potential resolution to the long-standing missing baryon resonances problem.

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© 2024 The Author(s). Published by IOP Publishing Ltd. Original content from this work may be used under the terms of the Creative Commons Attribution 4.0 licence. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.

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