Parity projection of QCD sum rules for the nucleon

Abstract

The nucleon and its negative-parity excited states are examined in a maximum entropy method analysis of QCD sum rules. First, we rederive the parity projected sum rules for baryons using forward correlation functions. Doing this, the method is generalized so that higher order operator product expansion (OPE) terms can be calculated unambiguously. We then apply this approach to the nucleon channel taking into account all known first order alpha_s corrections to the Wilson coefficients of the OPE. As these corrections have turned out to be large, we suppress them by using a phase-rotated Gaussian kernel. Simultaneously, this phase rotation strongly suppresses the continuum contribution and improves the convergence of the OPE. The resulting sum rule has the interesting feature that it is dominated by the term containing the chiral condensate of dimension 3. Analyzing this sum rule by the maximum entropy method, we are able to extract information of both the positive and negative parity states.

17 pages, 6 figures, 3 tables; minor modifications, published version

References in corpus (3)

• Charmonium spectra at finite temperature from QCD sum rules with the maximum entropy method
• Thermal modification of bottomonium spectra from QCD sum rules with the maximum entropy method
• A Bayesian analysis of the nucleon QCD sum rules

Cited by in corpus (21)

• The hidden-charm pentaquark and tetraquark states
• Towards exotic hidden-charm pentaquarks in QCD
• Possible interpretations of the $P_c(4312)$, $P_c(4440)$, and $P_c(4457)$
• Recent Progress in QCD Condensate Evaluations and Sum Rules
• Mass spectra of Zc and Zb exotic states as hadron molecules
• QCD sum rule study of hidden-charm pentaquarks
• D meson mass increase by restoration of chiral symmetry in nuclear matter
• Hidden charm pentaquarks with color-octet substructure in QCD Sum Rules
• Thermal modification of bottomonium spectra from QCD sum rules with the maximum entropy method
• Hidden-charm pentaquark states through the current algebra: From their productions to decays
• Dispersive analysis of glueball masses
• QCD sum rules with spectral densities solved in inverse problems
• Revisiting hidden-charm pentaquarks from QCD sum rules
• Charmed Baryon ${\Lambda }_c$ in Nuclear Matter
• Doubly charmed pentaquark states in QCD sum rules
• Negative-parity nucleon excited state in nuclear matter
• QCD sum rules on the complex Borel plane
• Single-particle spectral density of the unitary Fermi gas: Novel approach based on the operator product expansion, sum rules and the maximum entropy method
• QCD sum rule study for hidden-strange pentaquarks
• Charmonium ground and excited states at finite temperature from complex Borel sum rules
• Strange pentaquark molecules in QCD sum rules