Determination of the $^{36}$Mg($n,\gamma$)$^{37}$Mg reaction rate from Coulomb dissociation of $^{37}$Mg

We use the Coulomb dissociation (CD) method to calculate the rate of the Mg36(n,γ)Mg37 radiative capture reaction. The CD cross sections of the Mg37 nucleus on a Pb208 target at the beam energy of 244 MeV/nucleon, for which new experimental data have recently become available, were calculated within the framework of a finite-range distorted-wave Born approximation theory that is extended to include the projectile deformation effects. Invoking the principle of detailed balance, these cross sections are used to determine the excitation function and subsequently the rate of the Mg36(n,γ)Mg37 reaction. We compare these rates to those of the Mg36(α,n)Si39 reaction calculated within a Hauser-Feshbach model. We find that for T9 as large as up to 1.0 (in units of 109 K) the Mg36(n,γ)Mg37 reaction is much faster than the Mg36(α,n)Si39 one. The inclusion of the effects of Mg37 projectile deformation in the breakup calculations enhances the (n,γ) reaction rate even further. Therefore, it is highly unlikely that the (n,γ)β-decay r-process flow will be broken at the Mg36 isotope by the α process.

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Published in Physical Review C

24.10.Eq
25.60.Gc
27.30.+t

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Determination of the 36^{36}36Mg(n,γn,\gamman,γ)37^{37}37Mg reaction rate from Coulomb dissociation of 37^{37}37Mg

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Determination of the $^{36}$ Mg( $n,\gamma$ ) $^{37}$ Mg reaction rate from Coulomb dissociation of $^{37}$ Mg