$^{20}$ Ne中2-$^-$ γ振动带激发的狄拉克耦合道分析
Dirac Coupled Channel Analyses of the 2$^-$ Gamma Vibrational band excitation in $^{20}$Ne
摘要：
利用光学势模型对800 MeV质子与$^{20}$ Ne非极化非弹性散射的2 $^-$ γ振动带的高激发态进行了狄拉克耦合通道分析.采用一阶振动集体模型获得描述高位激发振动集体态的跃迁光学势，并采用洛伦兹协变标量势和类时矢量势作为直接光学势。采用最小卡方方法，通过改变光学势和形变参数，唯象求解复杂的Dirac耦合通道方程，再现微分截面数据。结果表明，相对论狄拉克耦合通道计算能更好地描述$^{20}$ Ne中2-$^-$ γ振动带的激发态，特别是2-$^-$和3-$^-$态.结果表明，通过与$3^-$态的沟道耦合的多步激发过程是描述$2^-$态激发的基本过程，而$^{20}$ Ne中2-$^-$ γ振动带的3-$^-$态激发主要是从基态的纯直接跃迁.
英文摘要：
Dirac coupled channel analyses are performed using optical potential model for the high-lying excited states that belong to the 2$^-$ gamma vibrational band at the 800 MeV unpolarized proton inelastic scatterings from $^{20}$Ne. The first order vibrational collective models are used to obtain the transition optical potentials to describe the high-lying excited vibrational collective states and Lorentz-covariant scalar and time-like vector potentials are used as direct optical potentials. The complicated Dirac coupled channel equations are solved phenomenologically to reproduce the differential cross sections data by varying the optical potential and deformation parameters using minimum chi-square method. It is found that relativistic Dirac coupled channel calculation could describe the excited states of the 2$^-$ gamma vibrational band in $^{20}$Ne much better than the nonrelativistic coupled channel calculation, especially for the 2$^-$ and 3$^-$ states of the band. It is shown that the multistep excitation process via channel coupling with the $3^-$ state is essential to describe the $2^-$ state excitation and pure direct transition from the ground state is dominant for the 3$^-$ state excitation of the 2$^-$ gamma vibrational band in $^{20}$Ne.
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