Study Of The Reaction Cross Section For The Deformed Nuclear

The theory of Glauber is used to calculated the nuclear cross section of high energy and small angle scattering reaction, taking quantum correction and Coulomb correction into account, it can be used to intermediate-energy heavy ion to calculate the total reaction cross section(σR). Coulomb correction is different for every nucleon, in order to improve the theory of Glauber, we consider the Coulomb correction in the microcosmic field. The distribution of nuclear density is obtained by Relativistic Mean Field(RMF), this paper calculate the total cross reaction section of the isotopes of Al collide with 12 C, and compare the results with experimental data. It is shown that the results of total cross reaction section according with experimental data when consider the Coulomb correction in the microcosmic field.This paper presents a new empirical formula to calculate the average nucleon-nucleon(N-N) collision number for the total reaction cross sections. Based on the initial average N-N collision number calculated by quantum molecular dynamics(QMD), quantum correction and Coulomb correction are taken into account within it. The average N-N collision number is calculated by this empirical formula. The total reaction cross sections are obtained within the framework of the Glauber theory. σR of 23 Al + 12 C, 24 Al + 12 C, 25 Al + 12 C, 26 Al + 12 C and 27 Al + 12 C are calculated in the range of low energy. We also calculate the σR of 27 Al + 12 C with different incident energies. The calculated σR are compared with the experimental data and the results of Glauber theory including the σR of both spherical nuclear and deformed nuclear. It is seen that the calculated σR are larger than σR of spherical nuclear and smaller than σR of deformed nuclear, whereas the results agree with the experimental data well in low-energy range.In the framework of the isospin-dependent quantum molecular dynamics transport model(QMD), there are different symmetry energy that could be used to calculate the average nucleon-nucleon collision number in nuclear reaction. This paper present an argument that the effects of symmetry energy on the production of neutron-proton(n-p) bremsstrahlung photon. Based on the equation of the production of the n-p photon that used in the Boltzmann-Uehling-Uhlenbeck(BUU) transport model, we propose a new approach to calculate the production of the n-p photon with the isospin-dependent quantum molecular dynamics(IQMD) transport model. The p-n collision numbers in the reactions 40Ca+40Ca, 124Sn+124Sn, 40Ca+64Zn, 40Ca+124Sn have been measured at 100MeV/u, and soft symmetry energy leads to large collision number. Using the photon production in those reactions with IQMD, we obtain the energy dependence of the production of the photons with energies between 20 MeV and 35 MeV and the total production of the photons at incident energies of 50 MeV, 100 MeV, 150 MeV, 200 MeV and 250 MeV, and it is noticed that there is higher production of photons calculated with soft symmetry energy than that with stiff symmetry energy. It is proposed that the information about the symmetry energy would be extracted from photon production in heavy-ion reactions especially in asymmetry collision systems.