Extended Glauber Theory and Its Application in Halo Nucleus Scattering |
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| Authors: | ZHAO Yao-Lin MA Zhong-Yu CHEN Bao-Qiu SUN Xiu-Quan |
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| Affiliation: | Department of Physics, China Institute of Atomic Energy, Beijing 102413, China2 Department of Physics, Northwest University, Xi′an 710069, China3 Center of Theoretical Nuclear Physics, National Laboratory of Heavy Ion Accelerator of Laboratory, Lanzhou 730000, China4 Institute of Theoretical Physics, The Chinese Academy of Sciences, Beijing 100080, China |
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| Abstract: | We introduced an extended Glauber theory for a halo nucleus scattering, where the halo nucleons and the nuclear core were treated separately. Expressions of reaction and interaction cross sections of the halo nucleus scattering were derived. We took the halo structure of the projectile nucleus into account and adopted an improved optical limit approximation. In the framework of the extended Glauber theory, we studied the reaction cross section for the halo nucleus 14Be scattering on a target 12C. For comparison, the reaction cross sections of 12Be+12C were calculated as well. The density distribution of target 12C is taken from experiments, and those of the projectiles 12Be and 14Be were obtained by two methods. One is that the harmonic oscillator wave functions for 12Be and 14Be are used. The length of harmonic oscillator is adjusted to reproduce the reaction cross section of 12Be+12C at the high energy E=790MeV/u . The density distribution of 14Be was also calculated self-consistently in the relativistic mean field (RMF) theory, with a long tail wave functions for the two neutrons in 14Be. It was found that the calculated reaction cross sections for 12Be+12C at E=790MeV/u and E=56.5MeV/u were in good agreement with the experimental data no matter harmonic oscillator or RMF wave functions were used. In contrast, the experiments of the reaction cross sections for 14Be+ 12C could only be reproduced when the wave functions of two 2s1/2 neutrons spreaded over with a long tail. It comes to a conclusion that two outside neutrons in 14Be form a halo structure. |
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