Coulomb breakup of ${}^{37}$Mg and its ground state structure

Abstract

We calculate Coulomb breakup of the neutron rich nucleus ${}^{37}$Mg on a Pb target at the beam energy of 244 MeV/nucleon within the framework of a finite range distorted wave Born approximation theory that is extended to include the effects of projectile deformation. In this theory, the breakup amplitude involves the full wave function of the projectile ground state. Calculations have been carried out for the total one-neutron removal cross section $({\sigma }_{-1n})$, the neutron-core relative energy spectrum, the parallel momentum distribution of the core fragment, the valence neutron angular, and energy-angular distributions. The calculated ${\sigma }_{-1n}$ has been compared with the recently measured data to put constraints on the spin parity, and the one-neutron separation energy ($S_n$) of the ${}^{37}$Mg ground state (${}^{37}$Mg${}_{gs}$). The dependence of ${\sigma }_{-1n}$ on the deformation of this state has also been investigated. While a spin parity assignment of $7/2^{-}$ for the ${}^{37}$Mg${}_{gs}$ is ruled out by our study, neither of the $3/2^{-}$ and $1/2^{+}$ assignments can be clearly excluded. Using the spectroscopic factor of one for both the $3/2^{-}$ and $1/2^{+}$ configurations and ignoring the projectile deformation effects, the $S_n$ values of $0.35\pm 0.06$ MeV and $0.50\pm 0.07$ MeV, respectively, are extracted for the two configurations. However, the extracted $S_n$ is strongly dependent on the spectroscopic factor and the deformation effects of the respective configuration. The narrow parallel momentum distribution of the core fragment and the strong forward peaking of the valence neutron angular distribution suggest a one-neutron halo configuration in either of the $2p_{3/2}$ and $2s_{1/2}$ configurations of the ${}^{37}$Mg ground state.

11 figures, 32 pages, version to be published in Nucl. Phys. A

References in corpus (12)

• Nuclear magic numbers: new features far from stability
• Collapse of the N=28 shell closure in ${}^{42}$Si
• Discovery of the shape coexisting 0+ state in 32Mg by a two neutron transfer reaction
• Direct mass measurements of 19B, 22C, 29F, 31Ne, 34Na and other light exotic nuclei
• Spectroscopy of 32Ne and the Island of Inversion
• Nilsson diagrams for light neutron-rich nuclei with weakly-bound neutrons
• Electromagnetic strength of neutron and proton single-particle halo nuclei
• Neutron shell structure and deformation in neutron-drip-line nuclei
• Three-body Faddeev-Alt-Grassberger-Sandhas approach to direct nuclear reactions
• Dissociation of Relativistic Projectiles with the Continuum-Discretized Coupled-Channels Method
• Spectroscopy of the unbound: One-neutron knockout reaction of ${}^{14}$Be
• Probing nucleon-nucleon interactions in breakup of a one-neutron halo ${}^{11}$Be on a proton target

Cited by in corpus (10)

• Elastic Coulomb breakup of ${}^{34}$Na
• Determination of the ${}^{36}$Mg($n,\gamma$)${}^{37}$Mg reaction rate from Coulomb dissociation of ${}^{37}$Mg
• Low-lying dipole strengths for probable $p$-wave one-neutron halos in the medium mass region
• Exploring the halo character and dipole response in the dripline nucleus ${}^{31}$F
• Exploring the structure of ${}^{29}$Ne
• Structural effects of ${}^{34}$Na in the ${}^{33}$Na(n,$\gamma {)}^{34}$Na radiative capture reaction
• Prediction of two-neutron halos in the $N=28$ isotones ${}^{40}$Mg and ${}^{39}$Na
• Excited-state one-neutron halo nuclei within a parallel momentum distribution analysis
• Deformation, halo, and bubble structure: A paradigm shift of exotic phenomena in light to medium mass nuclei
• Scaling with deformation in probable $p$-wave halo ${}^{34}$Na