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Prog. Theor. Phys. Vol. 113 No. 2 (2005) pp. 305-325

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Nuclidic Mass Formula on a Spherical Basis with an Improved Even-Odd Term

Hiroyuki Koura,1,3,5 Takahiro Tachibana,2,3,5 Masahiro Uno4,3 and Masami Yamada3

1Advanced Science Research Center, Japan Atomic Energy Research Institute (JAERI), Ibaraki 319-1195, Japan
2Senior High School of Waseda University, Tokyo 177-0044, Japan
3Advanced Research Institute for Science and Engineering, Waseda University, Tokyo 169-8555, Japan
4Ministry of Education, Culture, Sports, Science and Technology, Tokyo 100-8959, Japan
5The Institute of Physical and Chemical Research (RIKEN), Saitama 351-0198, Japan

(Received July 2, 2004)

Abstract:

A nuclidic mass formula composed of a gross term, an even-odd term and a shell term is presented as a revised version of the mass formula constructed by the present authors and published in 2000. The gross term has almost the same functional form as in the previous formula, but the parameter values in it are somewhat different. The even-odd term is treated more carefully, and a considerable improvement is realized. The shell term is exactly the same as the previous one; it was obtained using spherical single-particle potentials and by treating the deformed nucleus as a superposition of spherical nuclei. The new mass formula is applicable to nuclei with Z ≥2 and N ≥2. The root-mean-square deviation from experimental masses is 666.7 keV, which is less than that of the previous mass formula, 689.8 keV.


URL : http://ptp.ipap.jp/link?PTP/113/305/
DOI : 10.1143/PTP.113.305

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