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Mass formula
About: Mass formula is a research topic. Over the lifetime, 1248 publications have been published within this topic receiving 22043 citations.
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TL;DR: In this article, the nonstrange baryonic masses using the mass formula proposed earlier and compare them with all available experimental numbers were calculated and the agreement was excellent for then = 0 and n=1 radial modes, and quite good for then=2 multiplets.
Abstract: We calculate the nonstrange baryonic masses using the mass formula proposed earlier and compare them with all available experimental numbers. The agreement is excellent for then=0 andn=1 radial modes, and is quite good for then=2 multiplets. The observed masses which may belong to then=3 andn=4 states seem to favor a mass formula in which the mass squared is linear in the radial quantum number.
01 Jan 1964
TL;DR: In this article, the empirical features of the nuclear mass surface were reviewed and theoretical interpretations of mass formulas based on the shell model of the nucleus were discussed, and necessary corrections to mass formula based on liquid drop model was considered.
Abstract: My talk will be divided into three parts. First the empirical features of the nuclear mass surface will be briefly reviewed. Then we shall discuss theoretical interpretations, starting with mass formulas based on the shell model of the nucleus. Lastly, necessary corrections to mass formulas based on the liquid drop model will be considered.
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TL;DR: In this article, an analytic phenomenological shell model mass formula for light nuclei is constructed, which takes into account the non locality of the self consistent single particle potential and the special features of light nucleis, namely: a) charge and mass distributions are closer to a Gaussian shape than to the shape characteristic in medium and heavy nuclei; b) the central charge and densities are larger than, and decrease towards, the "asymptotic" values that are the reference parameters for nuclear matter; and after a shell closure, the next level has a larger orbital angular momentum
Abstract: An analytic phenomenological shell model mass formula for light nuclei is constructed., The formula takes into account the non locality of the self consistent single particle potential and the special features of light nuclei, namely: a) charge and mass distributions are closer to a Gaussian shape than to the shape characteristic in medium and heavy nuclei; b) the central charge and mass densities are larger than, and decrease towards, the "asymptotic" values that are the reference parameters for nuclear matter; and c) after a shell closure, the next level has a larger orbital angular momentum and a noticeably larger mean square radius. Only then a good numerical fit is obtained with parameters consistent with optical model analysis and empirical spin-orbit couplings. A correlation between the "skin effect" and the symmetry dependence of the optical potential is established. Towards the neutron drip line the potential well depth, the spin-orbit splitting of the single particle levels and the gap between major shells decrease, as has been observed. The ensuing shift and contraction of the single particle level scheme may lead to: a) to strong configuration mixing and new magic numbers, and b) the onset of the halo effect, to avoid the expulsion of single particle levels to the continuum.
21 Mar 2007
TL;DR: In this paper, the mass splittings of the baryons belonging to the [70, 1−]−plet are derived by using a simple group theoretical approach to the matrix elements of the mass formula.
Abstract: The mass splittings of the baryons belonging to the [70, 1−]‐plet are derived by using a simple group theoretical approach to the matrix elements of the mass formula. The basic conclusion is that the first order correction to the baryon masses is of order 1/Nc instead of order Nc0, as previously found. The conceptual difference between the ground state and the excited states is therefore removed.