Excited meson radiative transitions from lattice QCD using variationally optimized operators
Abstract
We explore the use of 'optimized' operators, designed to interpolate only a single meson eigenstate, in threepoint correlation functions with a vectorcurrent insertion. These operators are constructed as linear combinations in a large basis of meson interpolating fields using a variational analysis of matrices of twopoint correlation functions. After performing such a determination at both zero and nonzero momentum, we compute threepoint functions and are able to study radiative transition matrix elements featuring excited state mesons. The required two and threepoint correlation functions are efficiently computed using the distillation framework in which there is a factorization between quark propagation and operator construction, allowing for a large number of meson operators of definite momentum to be considered. We illustrate the method with a calculation using anisotopic lattices having three flavors of dynamical quark all tuned to the physical strange quark mass, considering formfactors and transitions of pseudoscalar and vector meson excitations. In conclusion, the dependence on photon virtuality for a number of formfactors and transitions is extracted and some discussion of excitedstate phenomenology is presented.
 Authors:

 Old Dominion Univ., Norfolk, VA (United States)
 Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States); Old Dominion Univ., Norfolk, VA (United States)
 Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
 Publication Date:
 Research Org.:
 Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Oak Ridge Leadership Computing Facility (OLCF); Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
 Sponsoring Org.:
 USDOE Office of Science (SC), Nuclear Physics (NP) (SC26)
 Contributing Org.:
 Hadron Spectrum Collaboration
 OSTI Identifier:
 1183702
 Report Number(s):
 JLABTHY152004; DOE/OR/231773283; arXiv:1501.07457
Journal ID: ISSN 15507998; PRVDAQ
 DOE Contract Number:
 AC0506OR23177; SC0006765
 Resource Type:
 Journal Article
 Journal Name:
 Physical Review. D, Particles, Fields, Gravitation and Cosmology
 Additional Journal Information:
 Journal Volume: 91; Journal Issue: 11; Journal ID: ISSN 15507998
 Publisher:
 American Physical Society (APS)
 Country of Publication:
 United States
 Language:
 English
Citation Formats
Shultz, Christian J., Dudek, Jozef J., and Edwards, Robert G. Excited meson radiative transitions from lattice QCD using variationally optimized operators. United States: N. p., 2015.
Web. doi:10.1103/PhysRevD.91.114501.
Shultz, Christian J., Dudek, Jozef J., & Edwards, Robert G. Excited meson radiative transitions from lattice QCD using variationally optimized operators. United States. doi:10.1103/PhysRevD.91.114501.
Shultz, Christian J., Dudek, Jozef J., and Edwards, Robert G. Tue .
"Excited meson radiative transitions from lattice QCD using variationally optimized operators". United States. doi:10.1103/PhysRevD.91.114501. https://www.osti.gov/servlets/purl/1183702.
@article{osti_1183702,
title = {Excited meson radiative transitions from lattice QCD using variationally optimized operators},
author = {Shultz, Christian J. and Dudek, Jozef J. and Edwards, Robert G.},
abstractNote = {We explore the use of 'optimized' operators, designed to interpolate only a single meson eigenstate, in threepoint correlation functions with a vectorcurrent insertion. These operators are constructed as linear combinations in a large basis of meson interpolating fields using a variational analysis of matrices of twopoint correlation functions. After performing such a determination at both zero and nonzero momentum, we compute threepoint functions and are able to study radiative transition matrix elements featuring excited state mesons. The required two and threepoint correlation functions are efficiently computed using the distillation framework in which there is a factorization between quark propagation and operator construction, allowing for a large number of meson operators of definite momentum to be considered. We illustrate the method with a calculation using anisotopic lattices having three flavors of dynamical quark all tuned to the physical strange quark mass, considering formfactors and transitions of pseudoscalar and vector meson excitations. In conclusion, the dependence on photon virtuality for a number of formfactors and transitions is extracted and some discussion of excitedstate phenomenology is presented.},
doi = {10.1103/PhysRevD.91.114501},
journal = {Physical Review. D, Particles, Fields, Gravitation and Cosmology},
issn = {15507998},
number = 11,
volume = 91,
place = {United States},
year = {2015},
month = {6}
}
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