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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 masses of charmed hadrons are calculated in a five-quark model of ψ particles, and the equations for an arbitrary SU(n) group are obtained.
Abstract: Mass equations are obtained for an arbitrary SU(n) group, and the masses of charmed hadrons are calculated in a five-quark model ofψ particles.
TL;DR: In this paper, a typical form of mass formula is re-explained in terms of nuclear structure by considering the T = 0 2n−2p (α-like) correlations as the fundamental concept, instead of the symmetry energy.
Abstract: A typical form of mass formula is re-explained in terms of nuclear structure. For N ≈ Z nuclei, we propose to start with the shell model picture and to consider the T =0 2n−2p (αlike) correlations as the fundamental concept, instead of the symmetry energy. Subsequently, the symmetry energy is described on the basis of the α-like superfluidity caused by the T =0 2n − 2p correlations, in parallel with the pairing energy described on the basis of the pairing superfluidity. This re-explanation gives useful insight for understanding the nuclear mass formula. The origin of the Wigner energy is al so explained in an interacting boson model for the Cooper pairs in the α-like superfluid vacuum. Adding a correction term due to the T =02 n − 2p correlations, which determines the T = 0 base level for nuclear masses, can improve the mass formulas in practice.
TL;DR: In this article, the prediction of sin2 theta w and the unifying mass scale of grand unified gauge theories up to the two-loop level were estimated up to a factor of order ten.
Abstract: The prediction of sin2 theta w and the unifying mass scale of grand unified gauge theories are estimated up to the two-loop level. It is shown that the two-loop contributions alter the proton lifetime by a factor of order ten.
TL;DR: In this paper, a simple two-parameter linear mass formula is found for strongly interacting particles and resonances, and a possible group theoretical background is suggested, which is based on the group U 4.
TL;DR: In this article, a semi-empirical mass formula was used to calculate binding energies of about 440 spherical nuclei and the results suggest that nuclear compressibility imposes certain relationship between excess binding energies (E exp−E cal) and neutron number.
Abstract: The variation of nuclear parameter with mass number elicits information about nuclear compressibility. Analysis of muonic x-ray transitions provides an elegant method to investigate the behaviour of the nuclear parameterr 0. It is observed from the behaviour ofr 0 that nuclei in the regionA⩽70 are highly compressible while those in the regionA∼210 are almost incompressible. The behaviour ofr 0 is incorporated into the semi-empirical mass formula through the Coulomb energy term. From the modified mass formula thus obtained binding energies of about 440 spherical nuclei have been calculated. The results suggest that nuclear compressibility imposes certain relationship between excess binding energies (E exp−E cal) and neutron. proton number. The present study also points out that shell effects exhibited by nuclear binding energies cannot be accounted for by simply varying the coefficients of the mass formula: on the other hand extra terms are necessary to explain them.