Extension of the Bethe-Weizsacker mass formula to light nuclei and some new shell closures

Feb, 2002
4 pages
Published in:
  • Phys.Rev.C 65 (2002) 037301

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Abstract: (APS)
This new mass formula explains the shape of the binding energy versus neutron number curve of all the elements from Li to Bi. A simple comparison of the one-neutron separation energy versus neutron number curve with the experimental data clearly delineates positions of all the known old and new magic numbers, reveals extra stability at neutron number N=16 (Z=7,8), N=14 (Z=7–10), Z=14 (N=13−19), N=6 (Z=3–8), and loss of magicity for nuclei with N=8 (Z=4) and N=20 (Z=12–17). It supports existence of 32Ne, 35Na, 38Mg, and 41Al nuclei as the last bound isotopes of Ne, Na, Mg, Al, and suggests 26O as a bound nucleus.
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