Finite-volume effects for two-hadron states in moving frames
By Changhoan Kim, C. Sachrajda, Stephen R. Sharpe. 2005
275 citations recorded by the source corpus.
We determine the finite-volume corrections to the spectrum and matrix elements of two-hadron states in a moving frame, i.e., one in which the total momentum of the two hadrons is non-zero. The analysis is performed entirely within field theory and the results are accurate up to exponential corrections in the volume. Our results for the spectrum are equivalent to those of Rummukainen and Gottlieb which had been obtained using a relativistic quantum mechanical approach. A technical step in our analysis is a simple derivation of the summation formulae relating the loop summations over the momenta of the two hadrons in finite volume to the corresponding integrals in infinite volume.
Subfields: Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/f743489557bceebffe5bd158a395d54d1c692a5e
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In Nuclear and High Energy Physics
Citations in the corpus
- STUDIES OF NUCLEON RESONANCE STRUCTURE IN EXCLUSIVE MESON ELECTROPRODUCTION (2012, background): “In addition, infinite-volume matrix elements can be related to those in finite-volume [166] up to a factor which can be determined from the derivative of the phase shift.”
- Scattering processes and resonances from lattice QCD (2017, methodology): “Strategies for numerically evaluating the zeta function can be found in (Fu, 2012; Kim et al., 2005; Leskovec and Prelovsek, 2012; Rummukainen and Gottlieb, 1995; Yamazaki et al., 2004).”
- Excited and exotic charmonium spectroscopy from lattice QCD (2012, methodology): “[24, 37] multi-hadron constructions have been presented and the method of Lüscher and its extensions [42–45] was used to compute phase shifts from the denser spectrum of energy levels extracted.”