Excited meson radiative transitions from lattice QCD using variationally optimized operators

Christian J. Shultz, Jozef J. Dudek, Robert G. Edwards
2015 Physical Review D  
We explore the use of 'optimized' operators, designed to interpolate only a single meson eigenstate, in three-point correlation functions with a vector-current insertion. These operators are constructed as linear combinations in a large basis of meson interpolating fields using a variational analysis of matrices of two-point correlation functions. After performing such a determination at both zero and non-zero momentum, we compute three-point functions and are able to study radiative transition
more » ... adiative transition matrix elements featuring excited state mesons. The required two-and three-point 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 form-factors and transitions of pseudoscalar and vector meson excitations. The dependence on photon virtuality for a number of form-factors and transitions is extracted and some discussion of excited-state phenomenology is presented.
doi:10.1103/physrevd.91.114501 fatcat:bwdisce7nndpfhsc5t5j5e23zu