用非线性相对论平均场对两对镜像核13N-13C和15N-15O进行了研究.发现无论在基态还是激发态, 用两套参数所得的结合能都跟实验值很接近.计算结果显示13N的第一激发态(2s1/2)和第三激发态(1d5/2)各存在一个非束缚的质子晕, 而13C的第三激发态(1d5/2)存在一个弱束缚的中子皮.另外研究表明, 在另一对镜像核15N-15O的第二激发态(2s1/2)和第一激发态(2s1/2)分别存在一个中子晕和质子皮.
Properties of two pairs of mirror nuclei 13N-13C and 15N-15O are investigated by using the nonlinear relativistic mean-field theory. It is found that all the calculated binding energies with two different parameter sets are very close to the experimental ones for both the ground states and the excited states. The calculations show that the first excited state (2s1/2) and the third excited state (1d5/2) in 13N are both unbound resonances with proton halo structure, whereas the third excited state (1d5/2) in 13C is weakly bound with a neutron skin. It is also predicted that there has a proton halo in the second excited state (2s1/2) of 15N as well as a neutron skin in the first excited state (2s1/2) of 15O.
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