Analysis of one-neutron transfer reaction in $^{18}$O + $^{76}$Se collision 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 beta-decays. In nucleon transfer reactions core excitations, for both target and projectile systems, are best approached via coupled channel reaction schemes. Despite being notoriously demanding in terms of computing resources, coupled channel analyses are progressively becoming more affordable even within model spaces large enough for tackling medium mass nuclei. In this context, the 76 Se( 18 O, 17 O) 77 Se reaction, here under study, gives a quantitative access to the relevant single particle orbitals and core polarization configurations built on 76 Se. This is particularly relevant, since it provides data-driven information to constrain nuclear structure models for 76 Se, which is the daughter nucleus in the 76 Ge double beta decay. This reaction is one of the systems studied in the frame of the NUMEN project.Purpose: We want to analyze transitions to low-lying excited states of the residual and ejectile nuclei in the 76 Se( 18 O, 17 O) 77 Se one-neutron stripping reaction at 275 MeV incident energy and determine the role of singleparticle 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 channel 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 Se and 17 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 Se isotope. The description of 77 Se indicates the need of a large model space, in the view...