Obvious enhancement of the total reaction cross sections for $^{27,28}$P   with $^{28}$Si target and the possible relavent mechanisms
  The reaction cross sections of $^{27,28}$P and the corresponding isotones on Si target were measured at intermediate energies. The measured reaction cross sections of the N=12 and 13 isotones show an abrupt increase at $% Z=15$. The experimental results for the isotones with $Z\leq 14$ as well as $% ^{28}$P can be well described by the modified Glauber theory of the optical limit approach. The enhancement of the reaction cross section for $^{28}$P could be explained in the modified Glauber theory with an enlarged core. Theoretical analysis with the modified Glauber theory of the optical limit and few-body approaches underpredicted the experimental data of $^{27}$P. Our theoretical analysis shows that an enlarged core together with proton halo are probably the mechanism responsible for the enhancement of the cross sections for the reaction of $^{27}$P+$^{28}$Si. 
Z.H. Liu (1), M. Ruan (1), Y.L. Zhao (1), H.Q. Zhang (1), F. Yang (1),   Z.Y. Ma (1), C.J. Lin (1), B.Q. Chen (1), Y.W. Wu (...