845 research outputs found
Computation of the Binding Energies in the Inverse Problem Framework
We formalized the nuclear mass problem in the inverse problem framework. This
approach allows us to infer the underlying model parameters from experimental
observation, rather than to predict the observations from the model parameters.
The inverse problem was formulated for the numericaly generalized the
semi-empirical mass formula of Bethe and von Weizs\"{a}cker. It was solved in
step by step way based on the AME2012 nuclear database.
The solution of the overdetermined system of nonlinear equations has been
obtained with the help of the Aleksandrov's auto-regularization method of
Gauss-Newton type for ill-posed problems. In the obtained generalized model the
corrections to the binding energy depend on nine proton (2, 8, 14, 20, 28, 50,
82, 108, 124) and ten neutron (2, 8, 14, 20, 28, 50, 82, 124, 152, 202) magic
numbers as well on the asymptotic boundaries of their influence. These results
help us to evaluate the borders of the nuclear landscape and show their limit.
The efficiency of the applied approach was checked by comparing relevant
results with the results obtained independently.Comment: 9 pages, 1 figure, Proceedings of the International Symposium on
Exotic Nuclei EXON-2016, Kazan, Russia, 4-10 September 2016. based on
arXiv:1602.0677
Mechanisms of proton-proton inelastic cross-section growth in multi-peripheral model within the framework of perturbation theory. Part 2
We demonstrate a new technique for calculating proton-proton inelastic
cross-section, which allows one by application of the Laplace' method replace
the integrand in the integral for the scattering amplitude in the vicinity of
the maximum point by expression of Gaussian type. This in turn, allows one to
overcome the computational difficulties for the calculation of the integrals
expressing the cross section to sufficiently large numbers of particles. We
have managed to overcome these problems in calculating the proton-proton
inelastic cross-section for production (n \le 8) number of secondary particles
in within the framework of \phi^3 model. As the result the obtained dependence
of inelastic cross-section and total scattering cross-section on the energy
\sqrt{s} are qualitative agrees with the experimental data. Such description of
total cross-section behavior differs considerably from existing now
description, where reggeons exchange with the intercept greater than unity is
considered.Comment: 11 pages, 10 figures (v3: some inaccuracies corrected
Boundary action and profile of effective bosonic strings
The mean-square width of the energy profile of bosonic string is calculated
considering two boundary terms in the effective action. The perturbative
expansion of the Lorentz-invariant boundary terms at the second and the fourth
order in the effective action is taken around the free Nambu-Goto action. The
calculation are presented for open strings with Dirichlet boundary condition on
cylinder.Comment: 42 pages, 2 Figs, Preprin
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