Properties of Titanium isotopes in complex momentum representation within relativistic mean-field theory

• Published in: Nuclear science and techniques 2022-09, Vol.33 (9), p.93-100, Article 117
• Main Authors: Heng, Tai-Hua, Chu, Yao-Wu
• Format: Article
• Language: English
• Subjects: Beam Physics; Nuclear Energy; Particle Acceleration and Detection; Particle and Nuclear Physics; Physics; Physics and Astronomy
• ISSN: 1001-8042; 2210-3147
• DOI: 10.1007/s41365-022-01098-8

The self-consistent quadruple potential is deduced within the relativistic mean-field (RMF) framework and substituted into the Hamiltonian, which is calculated using the complex momentum representation (CMR). Considering even-even titanium isotopes as an example, this study investigated various properties, including the resonant states of neutron-rich nuclei in the RMF-CMR model, and used them to describe the binding energy. The abrupt decrease in the two-neutron separation energy ( S 2 n ) corresponds to the traditional magic number. The resonant and bound states are simultaneously exposed in the complex moment plane, where the continuum is along the integration contour. The four oblate neutron-rich nuclei 72 - 78 Ti are weakly bound or resonant because their Fermi energies are approximately 0 MeV. The root-mean-square (RMS) radii of these nuclei increase suddenly compared with those of others (neutron number N < 48 ). Moreover, 78 Ti and 76 Ti are determined as drip-line nucleons by the value of S 2 n and the energy levels, respectively. Finally, the weak-bounded character can be represented by diffuse density probability distributions.