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NucleĆ³n excited state wave functions from lattice QCD.

Authors :
Roberts, Dale S.
Kamleh, Waseem
Leinweber, Derek B.
Source :
Physical Review D: Particles, Fields, Gravitation & Cosmology. Apr2014, Vol. 89 Issue 7-B, p1-16. 16p.
Publication Year :
2014

Abstract

We apply the eigenvectors from a variational analysis to successfully extract the three-quark colorsinglet wave functions of even-parity excited states of the nucleón. We explore the first four states in the spectrum excited by the standard nucleón interpolating field. We find that the states exhibit a structure qualitatively consistent with a constituent quark model, where the ground, first, second, and third excited states have 0, 1, 2, and 3 nodes in the radial wave function of the d quark about two u quarks at the origin. Moreover, the radial amplitude of the probability distribution is similar to that predicted by constituent quark models. We present a detailed examination of the quark-mass dependence of the probability distributions for these states, searching for a nontrivial role for the multiparticle components mixed in the finite-volume QCD eigenstates. Finally we examine the dependence of the d-quark probability distribution on the positions of the two u quarks. The results are fascinating, with the underiying 5-wave orbitals governing the distributions even at rather large ti-quark separations. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
24700010
Volume :
89
Issue :
7-B
Database :
Academic Search Index
Journal :
Physical Review D: Particles, Fields, Gravitation & Cosmology
Publication Type :
Periodical
Accession number :
96414003
Full Text :
https://doi.org/10.1103/PhysRevD.89.074501