scholarly journals Finite-volume form factors in semi-classical approximation

2003 ◽  
Vol 670 (3) ◽  
pp. 464-478 ◽  
Author(s):  
G. Mussardo ◽  
V. Riva ◽  
G. Sotkov
2014 ◽  
Vol 882 ◽  
pp. 501-531 ◽  
Author(s):  
Z. Bajnok ◽  
F. Buccheri ◽  
L. Hollo ◽  
J. Konczer ◽  
G. Takacs

2018 ◽  
Vol 175 ◽  
pp. 06033 ◽  
Author(s):  
Yong-Chull Jang ◽  
Tanmoy Bhattacharya ◽  
Rajan Gupta ◽  
Huey-Wen Lin ◽  
Boram Yoon

We present results for the isovector axial, induced pseudoscalar, electric, and magnetic form factors of the nucleon. The calculations were done using 2 + 1 + 1-flavor HISQ ensembles generated by the MILC collaboration with lattice spacings a ≈ 0.12, 0.09, 0.06 fm and pion masses Mπ ≈ 310, 220, 130 MeV. Excited-states contamination is controlled by using four-state fits to two-point correlators and by comparing two-versus three-states in three-point correlators. The Q2 behavior is analyzed using the model independent z-expansion and the dipole ansatz. Final results for the charge radii and magnetic moment are obtained using a simultaneous fit in Mπ, lattice spacing a and finite volume.


2018 ◽  
Vol 175 ◽  
pp. 06019 ◽  
Author(s):  
Waseem Kamleh ◽  
Derek Leinweber ◽  
Zhan-wei Liu ◽  
Finn Stokes ◽  
Anthony Thomas ◽  
...  

The structure of the ground state nucleon and its finite-volume excitations are examined from three different perspectives. Using new techniques to extract the relativistic components of the nucleon wave function, the node structure of both the upper and lower components of the nucleon wave function are illustrated. A non-trivial role for gluonic components is manifest. In the second approach, the parity-expanded variational analysis (PEVA) technique is utilised to isolate states at finite momenta, enabling a novel examination of the electric and magnetic form factors of nucleon excitations. Here the magnetic form factors of low-lying odd-parity nucleons are particularly interesting. Finally, the structure of the nucleon spectrum is examined in a Hamiltonian effective field theory analysis incorporating recent lattice-QCD determinations of low-lying two-particle scattering-state energies in the finite volume. The Roper resonance of Nature is observed to originate from multi-particle coupled-channel interactions while the first radial excitation of the nucleon sits much higher at approximately 1.9 GeV.


2008 ◽  
Vol 803 (3) ◽  
pp. 277-298 ◽  
Author(s):  
M. Kormos ◽  
G. Takács

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