Plasma effects on resonant fusion
Abstract
I investigate the effects of plasma interactions on resonanceenhanced fusion rates in stars. Starting from basic principles we derive an expression for the fusion rate that can serve as a basis for discussion of approximation schemes The present stateoftheart correction algorithms, based on the classical correlation function for the fusing particles and the classical energy shift for the resonant state, do not follow from this result, even as an approximation. The results of expanding in a perturbation solution for the case of a weakly coupled plasma are somewhat enlightening. But at this point we are at a loss as to how to do meaningful calculations in systems with even moderate plasma coupling strength. Examples where this can matter are the effect of a possible lowenergy ^{12}C+^{12}C resonance on xray bursts from accreting neutron stars or on supernova 1A simulations, and the calculation of the triple α rate in some of the more strongly coupled regions in which the process enters, such as accretion onto a neutron star.
 Publication:

Physical Review C
 Pub Date:
 November 2012
 DOI:
 10.1103/PhysRevC.86.055803
 arXiv:
 arXiv:1203.2206
 Bibcode:
 2012PhRvC..86e5803S
 Keywords:

 97.10.Cv;
 23.40.s;
 26.50.+x;
 Stellar structure interiors evolution nucleosynthesis ages;
 Beta decay;
 double beta decay;
 electron and muon capture;
 Nuclear physics aspects of novae supernovae and other explosive environments;
 Astrophysics  Solar and Stellar Astrophysics;
 Nuclear Theory
 EPrint:
 10 pages, 1 figure