Study of Structures of proton-rich nuclei in the rp-nucleosynthesis process

在核壳模型和平均场理论的框架下，研究了参与rp核合成过程的富质子核的结构。下面我们将报告本研究计划的四个主要课题。右富质子核的结构与Thomas-Ehrman位移从现象学的角度研究了^<16>O附近镜像核之间能谱的不对称性（Thomas-Ehrman位移）。最近关于富质子核的数据表明，在s轨道上松散结合的质子的剩余相互作用减少了30%，这是由于质子单粒子波函数的宽径向分布造成的。在壳层模型框架下研究了zbbb64和N=82核的10^+和272^-同分异构体。我们推导了E2过渡强度的扩展的优先公式。根据扩展公式，以及Oh_<11/2>,2s_<1/2>和1d_<3/2>轨道之间的近似简并，我们认为B（E2）数据需要^<146>Gd核心激发。考虑到（Og_<7/2>, 1d_<5/2>）核的质子激发，用MSDI计算了多j壳层模型，同时再现了奇偶和B（E2）值的能级。富质子核的平均场方法为了用Hartree-Fock计算来理解富质子核的结构，我们仔细地回顾了平均场理论中的有效相互作用。结果表明，一个名为M3Y-P2的参数集可以很好地描述与Skyrme Sly5和/或Gogny D1S相互作用相似的各种属性。基于jj-耦合格式，开发了一个壳模型计算机程序，并先后应用于超核和随机相互作用问题。

Structures of the proton-rich Nuclei which are contribute to the rp-nucleosynthesis process have been investigated in a frame work of the nuclear shell model and also mean-field theory. In the following we report the major four subjects in this research program.1.Structure of right proton-rich nuclei and Thomas-Ehrman shiftsThe asymmetry in the energy spectra between mirror nuclei (the Thomas-Ehrman shift) around ^<16>O is investigated from a phenomenological point of view. The recent data on proton-rich nuclei indicates that the residual interaction is reduced for loosely bound proton in s-orbit by as much as 30%, which originates in the broad radial distribution of the proton single-particle wave functions.2.Structure of proton-rich nuclei around N=82The 10^+ and 272^-isomers of Z>64 and N=82 nuclei are investigated in the shell-model framework. We derive an extended seniority formula for E2 transition strength. Based on the extended formula, as well as on the approximate degeneracy among the Oh_<11/2>,2s_<1/2> and 1d_<3/2> orbits, we argue that B(E2) data require the ^<146>Gd core excitation. The energy levels of both parities and B(E2) values are simultaneously reproduced by a multi-j shell model calculation with MSDI, by taking ito account the excitation of protons from(Og_<7/2>, 1d_<5/2>) core.3.Mean field approach to proton-rich nucleiIn order to understand the structure of proton-rich nuclei with Hartree-Fock calculation, effective interactions for mean-field theory are carefully reviewed. It is shown that a parameter set called M3Y-P2 describes various properties similarly well to the Skyrme Sly5 and/or Gogny D1S interactions.4.Developing the nuclear shell model code and its application to related subjectsBased on the jj-coupling scheme, a shell model computer program has been developed and is successively applied to hyper nuclei and also the random interaction problem.