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Effective <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>J</mml:mi></mml:math> -factors for Milky Way dwarf spheroidal galaxies with velocity-dependent annihilation

Effective <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>J</mml:mi></mml:math> -factors for Milky Way dwarf spheroidal galaxies with velocity-dependent annihilation

We calculate the effective $J$-factors, which determine the strength of indirect detection signals from dark matter annihilation, for 25 dwarf spheroidal galaxies (dSphs). We consider several well-motivated assumptions for the relative velocity dependence of the dark matter annihilation cross section: ${\ensuremath{\sigma}}_{A}v$: $s$-wave (velocity independent), $p$-wave (${\ensuremath{\sigma}}_{A}v\ensuremath{\propto}{v}^{2}$), $d$-wave (${\ensuremath{\sigma}}_{A}v\ensuremath{\propto}{v}^{4}$), and Sommerfeld-enhancement …