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

被引:3
作者
Hockley, Liam [1 ]
Kamleh, Waseem [1 ]
Leinweber, Derek [1 ]
Thomas, Anthony [1 ]
机构
[1] Univ Adelaide, ARC Special Res Ctr Subatom Struct Matter CSSM, Dept Phys, Adelaide, SA 5005, Australia
基金
澳大利亚研究理事会;
关键词
lattice QCD; hadron physics; nuclear theory; lattice spectroscopy; QUANTUM-FIELD THEORIES; VOLUME DEPENDENCE; ENERGY-SPECTRUM; RESONANCE; MASS;
D O I
10.1088/1361-6471/ad33e2
中图分类号
O57 [原子核物理学、高能物理学];
学科分类号
070202 ;
摘要
We present a lattice QCD analysis of the Delta-baryon spectrum, with the goal of finding the position of the 2s radial excitation of the Delta(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 m pi 2 . We identify the lowest lying state as being a 1s state, consistent with the well known Delta(1232). The first excitation is identified as a 2s state, but is found to have a mass of approximately 2.15 GeV on our similar to 3 fm lattice, which does not appear to be associated with the Delta(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.
引用
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页数:24
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