The proton-proton reaction and related reactions in an intense magnetic field |
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| Authors: | Chih Kang Chou |
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| Institution: | (1) Institute for Space Studies, Goddard Space Flight Center, NASA, New York, N.Y., USA |
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| Abstract: | The reaction rates for the proton-proton reaction and the related electron capture reaction in a strongly magnetized relativistic electron gas of arbitrary degree of degeneracy are computed. The proton-proton reaction rates are unaffected by the presence of the magnetic field for field strengths up to the critical valueH
q
=m
2
c
3/e =4.414×1013G. For fields greater thanH
q
, the proton-proton reaction rates are enhanced linearly with  (=H/H
q
).The PeP reaction is investigated in detail for a wide range of temperatures, densities and magnetic field strengths that are of interest. The main results are as follows: In the non-degenerate regime the reaction rates are significantly reduced for high temperatures (T
9 5) and low fields ( 1). For instance,  pep(H)=0.04 pep(O) at =10–3,T
9=10. For relatively high fields (>1) and low temperatures (T
92), the reaction rates are enhanced approximately linearly with . In the complete degenerate regime the reaction rates are reduced up to one-third of the field-free value for moderate densities ( 6/ e10). At high densities (6/e10) the reaction rates are unaffected by the magnetic field. |
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| Keywords: | |
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