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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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Journal ArticleDOI
TL;DR: In this paper, the authors give a description of open strings stretched between N parallel D-branes in VSFT and show how higgsing is generated as the branes are displaced: the shift in the mass formula for onshell states stretched between different branes is due to a twist anomaly, a contribution localized at the midpoint.
Abstract: We give a description of open strings stretched between N parallel D-branes in VSFT. We show how higgsing is generated as the branes are displaced: the shift in the mass formula for on-shell states stretched between different branes is due to a twist anomaly, a contribution localized at the midpoint.

2 citations

Journal ArticleDOI
TL;DR: In this paper, a method to decompose SO(8) representations with respect to spin(7) was developed, which enables us to compute the eigenvalues of the spin-invariant differential operators in the mass matrix by using algebraic identities satisfied by them.
Abstract: Using a mass formula for Englert-type solutions on arbitrary coset spaces, we have found that if the coset is the round S/sub 7/, no massless fermions exist. For this purpose we develop a method to decompose SO(8) representations with respect to spin(7), which enables us to compute the eigenvalues of the spin(7)-invariant differential operators in the mass matrix by using algebraic identities satisfied by them.

2 citations

Book ChapterDOI
01 Jan 1967
TL;DR: In this paper, the authors discuss another possible type of hidden parameters, namely those which could be associated with non hermitian unitary transformations, which appear naturally if the internal symmetries of elementary particles are really connected with internal dynamical motions.
Abstract: Most of the past discussion on hidden parameters has concentrated on the possibility of introducing dispersionless variables into quantum theories. Here I would like to discuss another possible type of hidden parameters, namely those which could be associated with non hermitian unitary transformations. These appear naturally if: a) the internal symmetries of elementary particles are really connected with internal dynamical motions; and b) if these symmetries turn out to be non-compact, as various authors have recently suggested.

2 citations

Posted Content
TL;DR: In this paper, a comparison of the predictions of different mass models with experiment on the Tin isotopes is presented, where the difference of the binding energy of various mass models and experimental results with respect to the prediction of the model of Duflo and Zuker is plotted for the chain of isotopes of Sn with neutron number varying between 45 and 110.
Abstract: The general scepticism and loss of faith on the predictive ability of different mass formulae, arising out of the divergence of their predictions in unknown regions taken with respect to a reference mass formula, is successfully dispelled. When the result of relativistic mean field (RMF) theory with a Lagrangian common for all nuclei is taken as reference, the divergence disappears, and clear trend with strong correlation appears restoring our faith in general on the predictions of mass formulae, qualifying them as useful guideline for theoretical and experimental studies of nuclear phenomena. Mass formulae occupy the centre stage in the research in nuclear physics. The first model of the nucleus is a mass formula proposed by Bethe and Weiszackar in mid 1930s, soon after the discovery of the neutron unravelling the composition of the nucleus. It defined some of the key concepts and parameters for the first time for the description of nuclear phenomena, and laid the foundation for their future exploration. Our inability to predict the masses of nuclei starting from first principle, and our present experimental incapability to produce large majority of them in the laboratory, warrants reliable mass formulae of nuclei for understanding many phenomena, most notably, the nucleosynthesis and stellar evolution. Therefore the development of nuclear mass formulae has been all along a core theme of nuclear physics which has implicitly sustained and nourished the research in diverse areas of nuclear structure and nuclear reactions. Over the last 70 years, about a dozen of mass formulae have been proposed. With the advent of heavy-ion reactions, the prospect of the exploration of the "terra incognita" is very much in the realm of possibility. To the already known about 2000 nuclei, another 5000 to 7000 nuclei will be added in future by their synthesis in the laboratory for which unprecedented activity in different laboratories is underway. Therefore the predictive ability of differnt mass formulae is under serious scrutiny. Figure 1 represents an often quoted result (1-3) on the comparison of the predictions of different mass models with experiment on the Tin isotopes. Here the difference of the binding energy of various models and experimental results with respect to the predictions of the model of Duflo and Zuker (4), taken as reference, is plotted for the chain of isotopes of Sn with neutron number varying between 45 and 110. There is unanimity of all the mass models on good agreement with experiment in the known region close to stability, however, the predictions diverge as one moves away to unknown

2 citations


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Performance
Metrics
No. of papers in the topic in previous years
YearPapers
20235
202212
202113
202025
201917
201823