Other
Scientific paper
Nov 1974
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1974phrvd..10.3181m&link_type=abstract
Physical Review D, vol. 10, Issue 10, pp. 3181-3193
Other
Scientific paper
The "self-current" interaction term appearing in the Feynman and Gell-Mann universal V-A theory of weak interaction predicts a first-order coupling between plasmons (Γ), phonons (P), and neutrino pairs (νe, ν¯e) that leads to Γ-->νe+ν¯e and Γ+Γ-->νe+ν¯e processes, in addition to several other processes. We have computed the pair-neutrino energy loss rates for Γ+Γ-->νe+ν¯e, Γ+P-->νe+ν¯e, and P+P-->νe+ν¯e processes for a degenerate relativistic stellar plasma. In calculating the consequence of the axial-vector component of the weak interaction, we have assumed that the closed-electron-loop contributions are those of a vacuum rather than of a plasma. However, in using the vector component of the weak interaction, because of the charge-conjugation invariance of the vacuum that leads to a null transition matrix for the triangle-loop Feynman diagram, we employ a modified form of the electron propagator appropriate in the plasma medium. The pair-neutrino energy loss rates for Γ+Γ-->νe+ν¯e and Γ+P-->νe+ν¯e processes, although significant at ρ>105 g cm-3, T>=109°K, were found to be several orders of magnitude smaller than that corresponding to Γ-->νe+ν¯e. The energy loss rate for the P+P-->νe+ν¯e process was found not only many orders of magnitude smaller compared to the other two processes, but also insensitive to temperature variations.
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