Analysis of the one-neutron transfer reaction in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mmultiscripts><mml:mi mathvariant="normal">O</mml:mi><mml:mprescripts/><mml:none/><mml:mn>18</mml:mn></mml:mmultiscripts><mml:mo>+</mml:mo><mml:mmultiscripts><mml:mi>Se</mml:mi><mml:mprescripts/><mml:none/><mml:mn>76</mml:mn></mml:mmultiscripts></mml:mrow></mml:math> collisions at 275 MeV

Abstract

Background: Heavy-ion one-nucleon transfer reactions are promising tools to investigate single-particle configurations in nuclear states with and without the excitation of the core degrees of freedom. A careful determination of the spectroscopic amplitudes of these configurations is essential for the accurate study of other direct reactions as well as $\ensuremath{\beta}$ decays. In nucleon transfer reactions core excitations, for both target and projectile systems, are best approached via coupled-channels reaction schemes. Despite being notoriously demanding in terms of computing resources, coupled-channels analyses are progressively becoming more affordable even within model spaces large enough for tackling medium mass nuclei. In this context, the $^{76}\mathrm{Se}(^{18}\mathrm{O},^{17}\mathrm{O})^{77}\mathrm{Se}$ reaction, here under study, gives a quantitative access to the relevant single-particle orbitals and core polarization configurations built on $^{76}\mathrm{Se}$. This is particularly relevant, since it provides data-driven information to constrain nuclear structure models for $^{76}\mathrm{Se}$, which is the daughter nucleus in the $^{76}\mathrm{Ge} \ensuremath{\beta}\ensuremath{\beta}$ decay. This reaction is one of the systems studied in the frame of the Nuclear Matrix Elements for Neutrinoless double beta decay project.Purpose: We want to analyze transitions to low-lying excited states of the residual and ejectile nuclei in the $^{76}\mathrm{Se}(^{18}\mathrm{O},^{17}\mathrm{O})^{77}\mathrm{Se}$ one-neutron stripping reaction at 275-MeV incident energy and determine the role of single-particle and core excitation in the description of the measured cross sections. In addition, we explore the sensitivity of the calculated cross section to different nuclear structure models.Methods: The excitation energy spectrum and the differential cross-section angular distributions are measured using the MAGNEX large acceptance magnetic spectrometer for the detection of the ejectiles and the missing mass technique for the reconstruction of the reaction kinematics. The data are compared with calculations based on distorted-wave Born approximation, coupled-channels Born approximation, and coupled reaction channels adopting spectroscopic amplitudes for the projectile and target overlaps derived by large-scale shell-model calculations and interacting boson-fermion model.Results: Peaks in the energy spectra corresponding to groups of unresolved transitions to $^{77}\mathrm{Se}$ and $^{17}\mathrm{O}$ are identified. The experimental cross sections are extracted and compared to theoretical calculations. A remarkable agreement is found, without using any scaling factors, demonstrating that the adopted models for nuclear structure and reaction take into account the relevant aspects of the studied processes. The main transitions which contribute to the cross section of each peak are identified.Conclusions: The coupling with the inelastic channels feeding states in entrance and exit partitions is important in the one-neutron transfer reaction and should be accounted for in future analyses of other direct reactions such as single and double charge exchange processes involving $^{76}\mathrm{Se}$ isotope. The description of $^{77}\mathrm{Se}$ indicates the need of a large model space, in the view of an accurate description of the low-lying states, a feature that should be likely accounted even for $\ensuremath{\beta}\ensuremath{\beta}$-decay studies of $^{76}\mathrm{Ge}$.

Topics & Concepts