\begin{document}$ \beta $\end{document}-decay energies of isobaric nuclei. Two important parameters of the mass parabola, the location of the most \begin{document}$ \beta $\end{document}-stable nuclei \begin{document}$ Z_{A} $\end{document} and the curvature parameter \begin{document}$ b_{A} $\end{document}, are obtained for 251 A values, based on the total double \begin{document}$ \beta $\end{document}-decay energies of nuclei compiled in the AME2016 database. The advantage of this approach is that the pairing energy term \begin{document}$ P_{A} $\end{document} caused by the odd-even variation can be removed in the process, as well as the mass excess \begin{document}$ M(A,Z_{A}) $\end{document} of the most stable nuclide for the mass number A, which are employed in the mass parabolic fitting method. The Coulomb energy coefficient \begin{document}$ a_{c} = 0.6910 $\end{document} MeV is determined by the mass difference relation for mirror nuclei, and the symmetry energy coefficient is also studied by the relation \begin{document}$ a_{\rm sym}(A) = 0.25b_{A}Z_{A} $\end{document}."> Nuclear mass parabola and its applications -
  • [1]

    C. F. Von Weizsäker, Z. Phys,96: 431 (1935)

  • [2]

    H. A. Bethe and R. F. Bacher, Rev. Mod. Phys.,8: 82 (1936)

  • [3]

    N. Bohr and J. A. Wheeler, Phys. Rev.,56: 426 (1939)

  • [4]

    J. Wing and P. Fong, Phys. Rev,136: B932 (1964)

  • [5]

    W. Bauer and G. D. Westfall, University Physics with modern Physics, McGraw Hill, 1330 (2011)

  • [6]

    J. W. Dewdney, Nucl. Phys.,43: 303 (1963)

  • [7]

    Xian-Yin Li, Shi-Huai Yao, and Fu-Xin Xu, Chin. Phys. C,5: 611 (1981)

  • [8]

    F. Everling, L. A. König, J. H. E. Mattauch et al, Nuclear Physics,18: 529 (1960)

  • [9]

    L. A. König, J. H. E. Mattauch, and A. H. Wapstra, Nuclear Physics,31: 18 (1962)

  • [10]

    A. H. Wapstra and K. Bos, Atomic data and nuclear data tables,19: 175 (1977)

  • [11]

    G. Audi, F. G. Kondev, M. Wang et al, Chin. Phys. C,41: 030001 (2017)

  • [12]

    W. Rodejohann, Int. J. Mod. Phys. E,20: 1833 (2011)

  • [13]

    J. Beringer et al, Phys. Rev. D,86: 010001 (2012)

  • [14]

    K. Way and M. Wood, Phys. Rev.,94: 119 (1954)

  • [15]

    Interactive Chart of Nuclides (Brookhaven National Laboratory), http://www.nndc.bnl.gov/chart/; or https://en.wikipedia.org/wiki/Beta-decay stable isobars

  • [16]

    J. L. Tian, N. Wang, C. Li et al, Phys. Rev. C,87: 014313 (2013)

  • [17]

    W. E. Ormand, Phys. Rev. C,55: 2407 (1997)

  • [18]

    A. M. Durnford, J. Phys. A,2: 59 (1969)

  • [19]

    J. L. Tian, H. T. Cui, K.K. Zheng et al, Phys. Rev. C,90: 024313 (2014)

  • [20]

    H. Koura, T. Tachibana, M. Uno et al, Prog. Theor. Phys.,113: 305 (2005)

  • [21]

    P. Danielewicz and J. Lee, Nucl. Phys. A,818: 36 (2009)

  • [22]

    P. Möller, J.R. Nix, W.D. Myers et al, At. Data Nucl. Data Tables,59: 185 (1995)

  • [23]

    M. Stoitsov, R. B. Cakirli, R. F. Casten et al, Phys. Rev. Lett.,98: 132502 (2007)

  • [24]

    W. Satula, R. A. Wyss, and M. Rafalski, Phys. Rev. C,,74: 011301(R) (2006)

  • [25]

    S. K. Samaddar, J. N. De, X. Vinas et al, Phys. Rev. C,76: 041602(R) (2007)

  • [26]

    V. M. Kolomietz and A. I. Sanzhur, Phys. Rev. C,81: 024324 (2010)

  • [27]

    H. Jiang, G. J. Fu, Y. M. Zhao et al, Phys. Rev. C,85: 024301 (2012)

  • [28]

    M. Liu, N. Wang, Z. X. Li et al, Phys. Rev. C,82: 064306 (2010)

Baidu
map