Feynman-Hellmann approach to the spin structure of hadrons

Chambers, A. J. and Horsley, R. and Nakamura, Y. and Perlt, H. and Pleiter, D. and Rakow, P. E. L. and Schierholz, G. and Schiller, A. and Stueben, H. and Young, R. D. and Zanotti, J. M. (2014) Feynman-Hellmann approach to the spin structure of hadrons. PHYSICAL REVIEW D, 90 (1): 014510. ISSN 1550-7998, 1550-2368

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Abstract

We perform a N-f 2 + 1 lattice QCD simulation to determine the quark spin fractions of hadrons using the Feynman-Hellmann theorem. By introducing an external spin operator to the fermion action, the matrix elements relevant for quark spin fractions are extracted from the linear response of the hadron energies. Simulations indicate that the Feynman-Hellmann method offers statistical precision that is comparable to the standard three-point function approach, with the added benefit that it is less susceptible to excited-state contamination. This suggests that the Feynman-Hellmann technique offers a promising alternative for calculations of quark line disconnected contributions to hadronic matrix elements. At the SU(3)-flavor symmetry point, we find that the connected quark spin fractions are universally in the range 55%-70% for vector mesons and octet and decuplet baryons. There is an indication that the amount of spin suppression is quite sensitive to the strength of SU(3) breaking.

Item Type: Article
Uncontrolled Keywords: DEEP-INELASTIC-SCATTERING; LATTICE QCD; BAG MODEL; NUCLEON;
Subjects: 500 Science > 530 Physics
Divisions: Physics > Institute of Theroretical Physics
Physics > Institute of Theroretical Physics > Chair Professor Schäfer > Group Dirk Pleiter
Depositing User: Dr. Gernot Deinzer
Date Deposited: 12 Sep 2019 12:18
Last Modified: 12 Sep 2019 12:18
URI: https://pred.uni-regensburg.de/id/eprint/9866

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