Cross-section, vector and tensor analyzing powers of the ⁶Li + ¹²C elastic scattering at 30 and 50 MeV: a non-monotonic potential description

Abstract

This work reports, for the first time, the analysis of tensor analyzing powers (T 20, T 21, T 22) along with the differential cross-section (CS) and the vector analyzing power iT 11 for the 6Li + 12C elastic scattering at 30 and 50 MeV within the framework of an optical model (OM) using microscopic shallow non-monotonic (NM) potentials. The NM potential is generated from the energy density functional formalism (EDF) (Brueckner et al (1968) Phys. Rev. 168 1184) using a realistic two-nucleon interaction incorporating the Pauli exclusion principle. The shallow NM potential can describe the experimental angular distributions of CS and analyzing powers of the elastic scattering data. The OM analysis of the data at 30 and 50 MeV does not indicate their sensitivity on the nuclear matter incompressibility K.

Nature of potential families from elastic 16O + 16O rainbow scattering*

“…The BCD version of the EDF theory, not only appropriately consider the Pauli principle but also uses the NN potential with central, spin-orbit and tensor parts which can describe all the properties of deuteron and the experimental data N-N scattering up to 341 MeV. This special aspect in the containment of non-central parts in the NN potential used in the BCD theory, makes the EDF-generated NM nucleon-nucleus potentials amply successful in describing the vector [21] and tensor [34] analyzing powers of Li-nucleus elastic scattering apart from the CS data without needing renormalization. Thus, we believe, while the repulsive core solves the problem of renormalization, the observed polarization effects originate from the dynamic polarization stemming from the NN potential of GCT [35].…”

“…The parameters of real parts obtained from the EDF calculation for K = 230 MeV are listed in table 1 as EDF. The derived potentials from EDF do not have any energy-dependence built into it, so the EDF potential is strictly valid for the zero excitation energy, E x = 0.0 MeV, of the composite nucleus 32 S as observed in [19,34]. At higher excitation energies, 1).…”

“…The successes enjoyed by NM potentials [19][20][21] derived microscopically using energy density functional (EDF) theory [22][23][24][25] with the sudden-approximation [26,27] include alpha-elastic scattering [21,28], inelastic scattering [29], one- [30], two- [31,32] and three nucleon [33] stripping reactions and describing opposite signs of the vector analyzing powers of 6 Li and 7 Li [21] as well as the vector and tensors analyzing powers of the 6 Li + 12 C elastic scattering [34] without needing any renormalization factor. Furthermore, a novel method is applied using NM potentials [20] to determine the incompressibility modulus K [12,16] for cold nuclear matter.…”

Primary rainbow and Airy minima in 12C + 12C elastic scattering with families of non-monotonic potentials*

“…Furthermore, the NM 16 O + 16 O potentials [32] are found to provide a novel method of extracting the incompressibility K [47][48][49] for cold nuclear matter with only a moderate uncertainty. The NM potentials are also found impressive in reproducing the VAP (iT 11 ) and tensor analyzing powers (T 20 , T 21 and T 22 ) [50] in simple OM. The intriguing aspects of the potential families at lower energies including the famous Goldberg criterion at higher energies are successfully discussed in Islam et al [13] for the 16 O + 16 O system.…”