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The reaction cross sections of $^{27,28}$P and the corresponding isotones onSi target were measured at intermediate energies. The measured reaction crosssections of the N=12 and 13 isotones show an abrupt increase at $% Z=15$. Theexperimental results for the isotones with $Z\leq 14$ as well as $% ^{28}$P canbe well described by the modified Glauber theory of the optical limit approach.The enhancement of the reaction cross section for $^{28}$P could be explainedin the modified Glauber theory with an enlarged core. Theoretical analysis withthe modified Glauber theory of the optical limit and few-body approachesunderpredicted the experimental data of $^{27}$P. Our theoretical analysisshows that an enlarged core together with proton halo are probably themechanism responsible for the enhancement of the cross sections for thereaction of $^{27}$P+$^{28}$Si.Comment: 16 pages, 5 figures, to be published in Phys.Rev.

physical review. c. nuclear physics/physical review. c, nuclear physics

Evidence for enhancement of the total reaction cross sections for<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mmultiscripts><mml:mi mathvariant="normal">P</mml:mi><mml:mprescripts /><mml:none /><mml:mrow><mml:mn>27</mml:mn><mml:mo>,</mml:mo><mml:mn>28</mml:mn></mml:mrow></mml:mmultiscripts></mml:mrow></mml:math>with a<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mmultiscripts><mml:mi mathvariant="normal">Si</…

Evidence for enhancement of the total reaction cross sections forP27,28with aSi