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A new convenient method for precise theoretical calculations of quantities of traditional theory of nuclear reactions such as widths of resonances (including sub-threshold), and asymptotic normalization coefficients is proposed. This method…

Nuclear Theory · Physics 2021-02-10 D. M. Rodkin , Yu. M. Tchuvil'sky

The method of asymptotic normalization coefficients is a standard approach for studies of two-body non-resonant radiative capture processes in nuclear astrophysics. This method suggests a fully analytical description of the radiative…

Nuclear Theory · Physics 2020-12-02 L. V. Grigorenko , Yu. L. Parfenova , N. B. Shulgina , M. V. Zhukov

We develop a method to parameterize elastic-scattering phase-shifts for charged nuclei, based on Pad\'e expansions of a simplified effective-range function. The method is potential independent and the input is reduced to experimental phase…

Nuclear Theory · Physics 2017-09-06 Oscar Leonardo Ramírez Suárez , Jean-Marc Sparenberg

The cross section of the radiative proton capture reaction on the drip line nucleus 12N was investigated using the Asymptotic Normalization Coefficient (ANC) method. We have used the 14N(12N,13O)13C proton transfer reaction at 12…

We show how the charge symmetry of strong interactions can be used to relate the proton and neutron asymptotic normalization coefficients (ANCs) of the one nucleon overlap integrals for light mirror nuclei. This relation extends to the case…

Nuclear Theory · Physics 2009-11-10 N. K. Timofeyuk , R. C. Johnson , A. M. Mukhamedzhanov

It is known from the scattering theory that the phase-shift of elastic collision does not provide a unique potential to describe the bound state of the two-particle system. The bound state wave function is the most crucial input for various…

Nuclear Theory · Physics 2019-11-05 B. F. Irgaziev , Jameel-Un Nabi , Abdul Kabir

Previous work quantified the uncertainty associated with the optical potentials between the nucleons and the target. In this study, we extend that work by also including the parameters of the mean field associated with the overlap function…

Nuclear Theory · Physics 2023-08-16 M. Catacora-Rios , Amy E. Lovell , Filomena M. Nunes

There are many models, often called unnormalized models, whose normalizing constants are not calculated in closed form. Maximum likelihood estimation is not directly applicable to unnormalized models. Score matching, contrastive divergence…

Machine Learning · Statistics 2018-08-27 Masatoshi Uehara , Takeru Matsuda , Fumiyasu Komaki

Owing to the presence of the Coulomb barrier at astrophysically relevant kinetic energies it is very difficult, or sometimes impossible, to measure astrophysical reaction rates in the laboratory. That is why different indirect techniques…

The microscopic coupled-channel calculation of inelastic proton scattering is performed for the study of neutron excitations in $2^+_1$ states of $^{18}$O, $^{10}$Be, $^{12}$Be, and $^{16}$C. Proton-nucleus potentials in the coupled-channel…

Nuclear Theory · Physics 2020-01-08 Yoshiko Kanada-En'yo , Kazuyuki Ogata

A new algorithm for the asymptotic nuclear coefficients calculation, which we call the $\Delta$-method, is proved and developed. This method was proposed in Ref. [O. L. Ram\'irez Su\'arez and J.-M. Sparenberg, arXiv: 1602.04082 [nucl-th]…

Nuclear Theory · Physics 2017-09-06 Yu. V. Orlov , B. F. Irgaziev , Jameel-Un Nabi

Within the asymptotic theory proposed by authors R. Yarmukhamedov and K.I. Tursunmakhatov [Phys. Rev. C (submitted 2019)] for the peripheral sub- and above-barrier transfer $A$($x$, $y$)$B$ reaction in the three-body ($A$, $a$ and $y$)…

Nuclear Theory · Physics 2020-03-13 R. Yarmukhamedov , K. I. Tursunmakhatov , N. Burtebayev

An artificial neural network (ANN) is investigated as a tool for estimating rate coefficients for the collisional excitation of molecules. The performance of such a tool can be evaluated by testing it on a dataset of collisionally-induced…

Instrumentation and Methods for Astrophysics · Physics 2014-11-20 David A. Neufeld

In a coupled-channel model, we explore the effects of coupling between configurations on the radial behavior of the wave function and, in particular, on the spectroscopic factor (SF) and the asymptotic normalization coefficient (ANC). We…

Nuclear Theory · Physics 2010-12-10 P. Capel , P. Danielewicz , F. M. Nunes

Preferential attachment is a widely adopted paradigm for understanding the dynamics of social networks. Formal statistical inference,for instance GLM techniques, and model verification methods will require knowing test statistics are…

Probability · Mathematics 2015-04-29 Sidney Resnick , Gennady Samorodnitsky

The asymmetry parameter alpha_p^NM for a proton exclusively emitted in the Lambda p -> np process was, for the first time, measured in the non-mesonic weak decay of a polarized 5_La,bda_He hypernucleus by selecting the proton-neutron pairs…

Systematic analysis of 8B Coulomb dissociation with the Asymptotic Normalization Coefficient (ANC) method is proposed to determine the astrophysical factor S17 accurately. An important advantage of the analysis is that uncertainties of the…

Nuclear Theory · Physics 2007-05-23 Kazuyuki Ogata , M. Yahiro , Y. Iseri , T. Matsumoto , N. Yamashita , M. Kamimura

Existing cross-section data for 1p-shell knockout in the reaction 12C(e,e'p) - as obtained under different kinematic conditions - are shown to be mutually consistent, apart from a recent measurement performed in Mainz. New data have been…

Nuclear Experiment · Physics 2010-12-15 L. Lapikas , G. van der Steenhoven , L. Frankfurt , M. Strikman , M. Zhalov

Aiming to remedy the incorrect asymptotic behavior of conventional semilocal exchange-correlation (XC) density functionals for finite systems, we propose an asymptotic correction scheme, wherein an exchange density functional whose…

Chemical Physics · Physics 2013-05-17 Chi-Ruei Pan , Po-Tung Fang , Jeng-Da Chai

A new analysis of the precise experimental astrophysical S-factors for the direct capture $^7Be(p,\gamma)$ $^8B$ reaction [A.J.Junghans et al.Phys.Rev. C 68 (2003) 065803 and L.T. Baby et al. Phys.Rev. C 67 (2003) 065805] is carried out…

Nuclear Theory · Physics 2009-05-29 S. B. Igamov , R. Yarmukhamedov