Cheng-Jun Xia🇨🇳 · She-Sheng Xue🇮🇹 · Ren-Xin Xu🇨🇳 · Shan-Gui Zhou🇨🇳
We investigate the stability and e+e− pair creation of supercritically charged superheavy nuclei, udQM nuggets, strangelets, and strangeon nuggets based on Thomas-Fermi approximation. The model parameters are fixed by reproducing their masses and charge properties reported in earlier publications. It is found that udQM nuggets, strangelets, and strangeon nuggets may be more stable than 56Fe at A≳315, 5×104, and 1.2×108, respectively. For those stable against neutron emission, the most massive superheavy element has a baryon number ∼965, while udQM nuggets, strangelets, and strangeon nuggets need to have baryon numbers larger than 39, 433, and 2.7×105. The e+e− pair creation will inevitably start for superheavy nuclei with charge numbers Z≥177, udQM nuggets with Z≥163, strangelets with Z≥192, and strangeon nuggets with Z≥212. A universal relation Q/Re=(me−μˉe)/α is obtained at a given electron chemical potential μˉe, where Q is the total charge and Re the radius of electron cloud. This predicts the maximum charge number by taking μˉe=−me. For supercritically charged objects with μˉe<−me, the decay rate for e+e− pair production is estimated based on the JWKB approximation. It is found that most positrons are emitted at t≲10−15 s, while a long lasting positron emission is observed for large objects with R≳1000 fm. The emission and annihilation of positrons from supercritically charged objects may be partially responsible for the short γ-ray burst during the merger of binary compact stars, the 511 keV continuum emission, as well as the narrow faint emission lines in X-ray spectra from galaxies and galaxy clusters.
nucl-thastro-ph.HEhep-phPRD(2020)·19 citations