Abstract
Finite energy QCD sum rules involving nucleon current correlators are used to determine several QCD and hadronic parameters in the presence of an external, uniform, large magnetic field. The continuum hadronic threshold $s_0$, nucleon mass $m_N$, current-nucleon coupling $\lambda_N$, transverse velocity $v_\perp$, the spin polarization condensate $\langle\bar q\sigma_{12} q\rangle$, and the magnetic susceptibility of the quark condensate $\chi_q$, are obtained for the case of protons and neutrons. Due to the magnetic field, and charge asymmetry of light quarks up and down, all the obtained quantities evolve differently with the magnetic field, for each nucleon or quark flavor. With this approach it is possible to obtain the evolution of the above parameters up to a magnetic field strength $eB < 1.4$ GeV$^2$.
Highlights
The influence of external, strong magnetic fields on hadronic and quantum chromodynamics (QCD) properties is an active research field
Several methods have been employed in order to extract the magnetic evolution of various quantities, e.g., masses, coupling constants and QCD vacuum condensates
The analysis is not restricted to linear magnetic field dependences. These sum rules allow for the extraction of information about the hadronic continuum threshold s0, the current-nucleon coupling λN, the transverse velocity of nucleons, the polarization tensor of the condensate, the magnetic susceptibility of the quark condensate, and the nucleon masses
Summary
The influence of external, strong magnetic fields on hadronic and quantum chromodynamics (QCD) properties is an active research field. This procedure was later extended to the full baryonic octet [11] These approaches considered only linear magnetic field dependences, and included the new condensate. The analysis is not restricted to linear magnetic field dependences These sum rules allow for the extraction of information about the hadronic continuum threshold s0, the current-nucleon coupling λN, the transverse velocity of nucleons, the polarization tensor of the condensate, the magnetic susceptibility of the quark condensate, and the nucleon masses. For this purpose, techniques used in previous work are implemented [2,12,13].
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