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arXiv 0802.3740nucl-th
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132 Sn核上A=138等压线的结构和丰中子环境中的N-N相互作用

Structure of A=138 isobars above the 132Sn core and the N-N interaction in the neutron-rich environment

S. Sarkar, M. Saha Sarkar

摘要:

在~(132)Sn核上方π(gdsh)× nu(hfpi)价空间中,对A=138丰中子核进行了大基非截断壳模型计算.两(1+2)体核哈密顿量,即,在该模型空间中使用了现实的CWG和经验的SMPN。计算的基态结合能、能级谱和其它光谱性质与实验数据进行了比较。指出了在该模型空间中进行非截断壳模型计算的重要性。本文给出了具有天体物理意义的富中子Sn同位素(~(138)Sn,N/Z=1.76)的壳模型结果,它除了β衰变半衰期外,没有其它光谱信息。本文研究了A=138的偶偶等压线的壳层结构和集体性随价中子数和质子数的变化。首次计算得到了138 Te和138 Te的集体振动态。比较了经验SMPN、CW 5082和现实CWG相互作用的一些重要的两体矩阵元。这些矩阵元对该区原子核的基态结合能和低能谱有重要的影响。考虑到这两个相互作用的可预测性似乎表明,为了将特殊功能的N-N相互作用在这种异国情调的n-丰富的环境以上的132 Sn核心,使用本地光谱信息的区域可能是必不可少的。

英文摘要:

Large basis untruncated shell model calculations have been done for the A=138 neutron -rich nuclei in the pi(gdsh) X nu(hfpi) valence space above the 132Sn core. Two (1+2) -body nuclear Hamiltonians, viz., realistic CWG and empirical SMPN in this model space have been used. Calculated ground state binding energies, level spectra and other spectroscopic properties have been compared with the available experimental data. Importance of untruncated shell model calculations in this model space has been pointed out. Shell model results for the very neutron rich Sn isotope (138Sn, N/Z=1.76) of astrophysical interest for which no spectroscopic information except beta -decay half life is available, have been presented. Shell structure and evolution of collectivity in the even-even A=138 isobars have been studied as a function of valence neutron and /or proton numbers. Calculations done for the first time, reproduce remarkably well the collective vibrational states in 138Te and 138Xe. Comparison of some of the important two-body matrix elements of the empirical SMPN, CW5082 and the realistic CWG interactions has been done. These matrix elements are important for ground state binding energies and low-lying spectra of nuclei in this region. Consideration of the predictability of the two interactions seems to suggest that, in order to incorporate the special features of the N-N interaction in such exotic n-rich environment above the 132Sn core, the use of local spectroscopic information from the region might be essential.

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