Study of Nucleon Molecular Orbitals in Nucleus-Nucleus Collisions

用基于耦合反应通道(CRC)方法的形式化方法研究了核-核碰撞中核子的分子轨道。作为一种特殊的跃迁，Landau-Zener跃迁明确地预言了非弹性散射截面的特征变化随轰击能量的变化而变化。此外，通过上述Landau-Zener推动的“两步”转变解释了观察到的进入激发态^&lt；13&gt；C*(3.85 MeV，5/2^+)的非弹性散射截面的行为。我们的分子轨道是由散射的动力学效应定义的，即分子轨道核子与核心核的质量比不可忽略的反冲效应。结果表明，这种影响与其说是在分子轨道态本身，不如说是在绝热势和径向耦合中。这导致了tra…的巨大变化。为了研究“非对称核”系统的核子分子轨道，我们编制了CRC计算程序和分子轨道计算程序。对轻芯系统的初步计算表明，在原基础上存在较强的CRC效应。反映了这种影响，得到的分子轨道在掠入区是动态稳定的，就像对称核心系统的情况一样。核子分子轨道研究的下一步研究计划如下：(I)从分子轨道体系出发，建立“非绝热体系”，以量子力学的方式理解Landau-Zener跃迁机制；(Ii)研究强库仑场对具有重核的质子分子轨道的影响；(Iii)明确考虑核心核集体态对分子轨道形成的影响。较少

The molecular orbitals of nucleons in nucleus-nucleus collisions have been investigated by using the formalism based on the coupled-reaction-channel (CRC) method.A specific transition, Landau-Zener transition definitely predicts the observation of characteristic changes in the cross sections for the inelastic scattering ^<13>C(^<12>C,^<12>C)^<13>C*(3.09MeV,1/2^+) with the change of the bombarding energy. Also the "two-step" transition via the above Landau-Zener promotion explains the behaviour of the observed cross sections of the inelastic scattering going to the excited state ^<13>C*(3.85MeV,5/2^+).Our molecular orbitals are defined with the inclusion of the dynamical effects of the scatterings, i.e., the effects of the recoil due to the non-negligible mass ratio of molecular-orbital nucleons to core nuclei. It is shown that the effects appear not so much in molecular-orbital states themselves as in the adiabatic potentials and the radial couplings. This causes big changes of the tra … More nsition amplitudes due to the dynamical effects generally.In order to investigate nucleon molecular orbitals for "asymmetric core" system, we have completed the computer programs for the CRC- and the molecular-orbital calculations. Preliminary calculation for light core systems shows strong CRC effects in the original basis. Reflecting this effects, the molecular orbitals obtained are dynamically stable in the grazing region as in the case of symmetric core systems. However, ground-state adiabatic potentials are not necessarily isolated from the other excited-state potentials as in symmetric core systems.Next research program of our study of nucleon molecualr orbitals is the followings:(i) to construct the "diabatic systems" from our molecualr orbital systems to understand the Landau-Zener transition mechanism in quantum mechanical way, (ii) to investigate the effects of strong Coulomb field for "proton" molecular orbitals with heavy core nuclei, and (iii) to take into account the effects of the collective states of core nuclei explicitely in the formation of nucleon molecular orbitals. Less