A unified description of the halo nucleus Mg from microscopic structure to reaction observables
Jia-Lin An (School of Physics, Beihang University, Beijing, China, Baoding Hospital of Beijing Children's Hospital, Baoding, China); Kai-Yuan Zhang (State Key Laboratory of Nuclear Physics and Technology, School of Physics, Peking University, Beijing, China, Institute of Nuclear Physics and Chemistry, CAEP, Mianyang, China); Qi Lu (School of Physics, Beihang University, Beijing, China); Shi-Yi Zhong (School of Physics, Beihang University, Beijing, China); Shi-Sheng Zhang (School of Physics, Beihang University, Beijing, China)
Based on the structure input directly from the deformed relativistic Hartree-Bogoliubov theory in continuum (DRHBc), we fully study reaction observables to search for halo evidence of $^{37}$Mg with the Glauber model. In this scheme, we evaluate the reaction cross sections of Mg bombarding a C target at 240 MeV/nucleon and find that most of the results agree well with the experimental data within 1σ uncertainty, especially good for the case of $^{37}$Mg. Our predicted doubling of the cross section change from $^{36}$Mg to $^{37}$Mg over that from $^{34}$Mg to $^{35}$Mg is consistent with a halo structure in $^{37}$Mg. Additionally, our calculated narrow longitudinal momentum distribution of $^{36}$Mg residues from $^{37}$Mg + $^{12}$C breakup agrees well with data and imply a nuclear size much larger than $^{35}$Mg. Furthermore, our study shows a dominant p-wave contribution to the longitudinal momentum distribution, supporting the conclusion that $^{37}$Mg is a p-wave halo nucleus. Our study provides the first unified description of the halo characteristics of $^{37}$Mg from nuclear structure to reaction dynamics.