Charge conjugation invariance of the Spectator Equations

Abstract

In response to recent critcism, we show how to define the spectator equations for negative energies so that charge conjugation invariance is preserved. The result, which emerges naturally from the application of spectator principles to systems of particles with negative energies, is to replace all factors of the external energies $W_i$ by $\sqrt{W_i^2}$, insuring that the amplitudes are independent of the sign of the energies $W_i$.

arXiv comment10 pages; 4 figures

Cited by in corpus (5)

• Nucleon resonances $N(1875)$ and $N(2100)$ as strange partners of LHCb pentaquarks
• Understanding spin parity of $P_c(4450)$ and $Y(4274)$ in a hadronic molecular state picture
• $Z_c(3900)/Z_c(3885)$ as a virtual state from $\pi J/\psi -{\bar{D}}^{\ast }D$ interaction
• Interpretation of $Y(4390)$ as an isoscalar partner of $Z(4430)$ from $D^{\ast }(2010){\bar{D}}_1(2420)$ interaction
• Hidden-strange molecular states and the $N\varphi$ bound state via a QCD van der Waals force