Nucleon in a periodic magnetic field

Abstract

The energy shift of a nucleon in a static periodic magnetic field is evaluated at second order in the external field strength in perturbation theory. It is shown that the measurement of this energy shift on the lattice allows one to determine the unknown subtraction function in the forward doubly virtual Compton scattering amplitude. The limits of applicability of the obtained formula for the energy shift are discussed.

$$D^*_{s0}(2317)$$ D s 0 ∗ ( 2317 ) and $$\textit{DK}$$ DK scattering in B decays from BaBar and LHCb data

“…[44,45], using covariant chiral unitary approach. Reference [46] investigates methods to study the nature of D * s0 (2317) (as a specific case) from lattice QCD simulations. A reanalysis of the lattice spectra of Refs.…”

Nucleon in a periodic magnetic field: Finite-volume aspects

“…In Ref. [1] we described a framework, based on the background field method, which enables one to extract the doubly-virtual forward Compton scattering amplitude from lattice QCD calculations (note that later, in Ref. [10], a very similar formula was given without a derivation, see Eq.…”

“…In Ref. [1], we considered the case of a nucleon placed in a static periodic magnetic field B = (0, 0, B 3 ) with B 3 = −B cos(ωx) and ω = (0, ω, 0). It has been shown that, for ω ≠ 0, the measurement of the spin-averaged energy shift of the nucleon in this field allows one to extract the value of the subtraction function S 1 (−ω 2 ) at non-zero values of q 2 = −ω 2 .…”

“…In Ref. [1], using heuristic arguments, for a given value of ω, we gave a very rough estimate of the maximal value of B, for which the perturbative expansion should still work. These arguments should be refined in order to obtain a more reliable result.…”

Meson deformation by magnetic fields in lattice QCD

“…Lattice QCD simulation is a good tool to understand such interplay. Since the fundamental degrees of freedom in low-energy QCD are hadrons as a consequence of color confinement, the effects of magnetic fields result in the modification of hadron spectroscopy and hadron structure [22][23][24][25][26][27][28][29][30]. In this work, we investigate the structures of light mesons with lattice QCD simulation.…”