Systematic Calculation of Neutrino–Nucleus Cross Section Available for Astrophysical Applications

Abstract

Assuming the universality of weak interactions, we have studied the weak processes such as β-decay and electron capture using the nuclear gross theory of beta decay (GTBD). We evaluate the β ± and electron capture decay rates and the neutrinonucleus cross sections as a function of the energy of the incident neutrino, for E ν < 250 MeV. The evaluation performed some years ago for the electron neutrino-nucleus reactions in the mass region A < 70 is extended to the heavy one A < 220 for a set of 965 nuclear species of astrophysical interest. The nuclei are separated according to its parity in even-even, evenodd, odd-odd, and odd-even nuclei, both for β ±-decay and electron capture. The obtained cross sections are interpolated by means of a fourth-degree polynomial function in E ν. The coefficients in these polynomials are obtained and later fitted as a function of A and Z. The fitting procedure is described in detail paying special attention to the root mean square deviations in the adjustment. These polynomial functions provide a tool for the systematic evaluation of the cross sections needed in astrophysical processes like the r-process during the nucleosynthesis of supernovae. Keywords β-decay • Electron capture • Neutrino-nucleus cross section • Gross theory of beta decay C. A. Barbero

Supernova neutrino burst detection with the Deep Underground Neutrino Experiment

“…These calculations were able to describe consistently the weak processes on 12 C [41] using a projection number particle procedure. Calculation by A. Samana et al [44,45]…”

“…As mentioned above, Table I summarizes the features of the cross-section models used in this work. The models include those based on microscopic formalisms such as RPA [37,38], QRPA [42], PQRPA [41], RQRPA [39], and NSM+RPA [40]; macroscopic models such as GTBD [44,45]; and the MARLEY [31] phenomenological calculation based on a Monte Carlo approach. In the absence of any direct measurements of charged-current neutrinoargon scattering in the relevant energy range, experimental constraints on these theoretical approaches are poor.…”

“…This is a parametric model for β-decay rates, which includes statistical arguments in a phenomenological way through a convolution between the independent particle model βamplitude and the level density of the Fermi gas model corrected to take into account shell effects. The GTBD calculation considers only the contributions of allowed transitions, σ(E ν , 0 + ) and σ(E ν , 1 + ), with a realistic description of the energy of the GT resonance peak [44,45].…”

Neutrino process for nuclei involved in r-process nucleosynthesis: cross section to nuclei with A<30

“…In order to study the r-process we need to obtain the neutrino cross section for those nuclei far way from the beta stability line that we do not have any experimental data. In this way, Barbero et al proposed an expression to systematically calculate the neutrino-nucleus cross section for a large number of nuclei [16].…”

Weak process for Iron isotopes chain used as seed for heavy elements nucleosynthesis

“…we can see our half-lives are in a acceptable agreement with experimental data. In a recent work Barbero et al have proposed an expression to systematically calculate the neutrino-nucleus cross section for a large number of nuclei [19] σ(E ν ) = where the dependence in A and Z of D i (A, Z) is explicitly determined by…”