Structure of Cl38 and the quest for a comprehensive shell model interaction

Abstract

The higher-spin structure of 38 Cl (N = 21) was investigated following the 26 Mg( 14 C, pn) reaction at 30 and 37 MeV beam energies. The outgoing protons were detected in an E − ∆E Si telescope placed at 0 • close to the target with a Ta beam stopper between the target and telescope. Multiple γ rays were detected in time coincidence with the protons using an enhanced version of the FSU γ detection array. The level scheme was extended up to 8420 keV with a likely spin of 10 . A new multishell interaction was developed guided by the experimental information. This FSU interaction was built by fitting to the energies of 270 experimental states from 13 C to 51 Ti. Calculations using the FSU interaction reproduce observed properties of 38 Cl rather well, including the spectroscopic factors. The interaction has been successfully used to interpret the 1p1h and 2p2h configurations in some nearby nuclei as well. I. INTRODUCTIONThe evolution of shell structures, specially with increasing proton-neutron imbalance, can provide valuable insights into the finite many-body problem. The exploration of an exotic region in the chart of nuclides with extreme N/Z ratios, the so called "island of inversion" region, has cast doubt on the persistence of the classical magic numbers and revealed the fragility of the shell gaps that lead to the magic numbers. The nuclei with Z = 10 ∼ 12 and N ≈ 20 have been found to have ground states dominated by the intruder configurations from the upper f p shell orbitals [1-6] and the anomalous property was interpreted as the reduction of the N = 20 shell gap. The immediate question emerged after the revelation of the shell gap reduction was how does this change happen along an isotopic or isotonic chain.Explaining this trend of shell evolution or structural evolution has been a great challenge to the nuclear structure models. The monopole parts of the shell model Hamiltonian have long been recognized to play the major role in the evolution of shell structure. While some models [7,8] are very successful in explaining the very neutron rich sd shell isotopes, they were unable to explain the intruder states of some nuclei within the same isotopic chain [9], or simply some other sd nuclei which are not even very neutron rich [10]; meaning that their monopoles are not well determined to explain the shell gap evolution. This demonstrates the need of a more comprehensive shell model treatment for the intruder states of the sd-shell nuclei which are sensitive to the shell gaps and, hence, very informative to describe the shell gap evolution.The current experimental investigation focuses on the structure of moderately neutron rich 38 Cl with Z = 17 and N = 21 having the valence protons in the sd shell and one valence neutron within the f p shell. Both normal and intruder states of 38 Cl are valuable to understand the N = 20 shell gap evolution. This nucleus has long been recognized as providing a window into the interactions between π0d 3/2 and νf 7/2 nucleons, since the first 4 states (2 − , 5 − , 3 − , and 4 ...

High spin structure of Ar39 and the FSU cross-shell interaction

“…listed in the table do agree fairly well with the calculated ones. Experimental ones are generally lower, as has been seen in Ref [14]…”

“…Microscopic shell model calculations can provide a better answer, but 39 Ar is outside the model space for which the best established sd interactions (USD [12], USDA, and USDB [13]) apply. Fortunately, our group has recently performed a comprehensive fit to many known states with a few particles outside the sd shell [14]. A few of the states in 39 Ar were included in the 270 used in the overall fit.…”

Multiparticle-hole excitations in nuclei near N = Z = 20: $^{41}$K

“…Additionally, our group has recently developed a new spsdpf crossshell interaction. It has been quite successful in predicting higher-spin cross-shell excitations in nuclei a little lighter than A ≈ 40 and is compared to our experimental results further on [4][5][6].…”

“…Clearly higher spin positive-parity states within the range of this experiment will involve 2ph excitations, note that the FSU interaction was not directly fitted to any 2ph states although some reasonable agreement has been reported in Refs. [4] and [5]. The 0ph FSU interaction calculations are from the USDB [18] interaction.…”

“…In fact when looking for further FIG.10. A comparison of the low lying experimental states in 41 K with the FSU[5,6] and PSDPF shell model interaction calculations illustrating the improved agreement with the FSU interaction.…”