Nuclear binding energy using semi empirical mass formula

2016 ◽  
Author(s):  
Ankita ◽  
B. Suthar
Author(s):  
U. V. S. Seshavatharam ◽  
S. Lakshminarayana

With reference to authors recently proposed three virtual atomic gravitational constants and nuclear elementary charge, close to stable mass numbers, it is possible to show that, squared neutron number plays a major role in reducing nuclear binding energy. In this context, Z=30 onwards, ‘inverse of the strong coupling constant’, can be inferred as a representation of the maximum strength of nuclear interaction and 10.09 MeV can be considered as a characteristic nuclear binding energy coefficient. Coulombic energy coefficient being 0.695 MeV, semi empirical mass formula - volume, surface, asymmetric and pairing energy coefficients can be shown to be 15.29 MeV, 15.29 MeV, 23.16 MeV and 10.09 MeV respectively. Volume and Surface energy terms can be represented with (A-A2/3-1)*15.29 MeV. With reference to nuclear potential of 1.162 MeV and coulombic energy coefficient, close to stable mass numbers, nuclear binding energy can be fitted with two simple terms having an effective binding energy coefficient of  [10.09-(1.162+0.695)/2] = 9.16 MeV. Nuclear binding energy can also be fitted with five terms having a single energy coefficient of 10.09 MeV. With further study, semi empirical mass formula can be simplified with respect to strong coupling constant.


2011 ◽  
Vol 20 (12) ◽  
pp. 2417-2425 ◽  
Author(s):  
CHIRASHREE LAHIRI ◽  
G. GANGOPADHYAY

The location of the proton dripline in a new phenomenological mass formula is calculated. Predictions of different mass formulas for the dripline are compared. The implications of the new mass formula for rapid proton nucleosynthesis beyond 56Ni are discussed. It is seen that the new formula indicates that masses up to A = 80 are easily synthesized in a typical X-ray burst.


Author(s):  
U.V.S Seshavatharam ◽  
S. Lakshminarayana

As there exist no repulsive forces in strong interaction, in a hypothetical approach, strong interaction can be assumed to be equivalent to a large gravitational coupling. Based on this concept, strong coupling constant can be defined as a ratio of the electromagnetic force and the gravitational force associated with proton, neutron, up quark and down quark. With respect to the product of strong coupling constant and fine structure ratio, we review our recently proposed two semi empirical relations and coefficients 0.00189 and 0.00642 connected with nuclear stability and binding energy. We wish to emphasize that- by classifying nucleons as ‘free nucleons’ and ‘active nucleons’, nuclear binding energy can be fitted with a new class of ‘three term’ formula having one unique energy coefficient. In table-3, we present the estimated nuclear binding energy data for Z=3 to 120 and compare it with the two standard semi empirical mass formulae as a supplementary file.


1960 ◽  
Vol 120 (3) ◽  
pp. 969-976 ◽  
Author(s):  
Leonard S. Rodberg ◽  
Vigdor L. Teplitz

Sign in / Sign up

Export Citation Format

Share Document