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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 asymptotic normalisation coefficients (ANC) for the vertex $^{10}$B $\to$ $^9$Be + p is deduced from a set of different proton transfer reactions at different energies. This set should ensure the peripheral character of the reaction and…

Nuclear Theory · Physics 2009-11-06 J. C. Fernandes , R. Crespo , F. M. Nunes

Absorption imaging is a commonly adopted method to acquire, with high temporal resolution, spatial information on a partially transparent object. It relies on the interference between a probe beam and the coherent response of the object. In…

We present an asymptotic-preserving (AP) numerical method for solving the three-temperature radiative transfer model, which holds significant importance in inertial confinement fusion. A carefully designedsplitting method is developed that…

Numerical Analysis · Mathematics 2024-03-01 Ruo Li , Weiming Li , Shengtong Liang , Yuehan Shao , Min Tang , Yanli Wang

Background: An asymptotic normalization coefficient (ANC) characterizes the asymptotic form of a one-nucleon overlap integral required for description of nucleon-removal reactions. Purpose: We investigate the impact of the particle…

Nuclear Theory · Physics 2015-06-04 J. Okołowicz , N. Michel , W. Nazarewicz , M. Płoszajczak

A new asymptotic theory is proposed for the peripheral sub- and above-barrier transfer $A$($x$, $y$)$B$ reaction within the three-body ($A$, $a$ and $y$) model, where $ x$= $y$ + $a$, $B$= $A$ + $a$ and $ a$ is a transferred particle. In…

Nuclear Theory · Physics 2019-09-04 R. Yarmukhamedov , K. I. Tursunmakhatov , N. Burtebayev

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

It is extremely important to devise a reliable method to extract spectroscopic factors from transfer cross sections. We analyse the standard DWBA procedure and combine it with the asymptotic normalisation coefficient, extracted from an…

Nuclear Theory · Physics 2008-11-26 D. Y. Pang , F. M. Nunes , A. M. Mukhamedzhanov

Recently we have published a paper [Irgaziev, Phys. Rev. C 91, 024002 (2015)] where the $S$-matrix pole method (SMP) which is only valid for resonances has been developed to derive a new explicit expression for the asymptotic normalization…

Nuclear Theory · Physics 2016-03-03 Yu. V. Orlov , B. F. Irgaziev , L. I. Nikitina

This work focuses on extracting nuclear contact coefficients for \( A = 2 \), \( A = 3 \) and \( A = 4 \) nuclei within the Generalized Contact Formalism framework. We investigate the universality of these coefficients across different…

Nuclear Theory · Physics 2025-01-31 Eleonora Proietti , Laura Elisa Marcucci , Michele Viviani

We develop the formalism based on the S-matrix for $3 \to 3$ scattering to derive the direct three-body resonant radiative capture reaction rate. Within this formalism the states, which decay only/predominantly directly into three-body…

Nuclear Theory · Physics 2009-11-11 L. V. Grigorenko , M. V. Zhukov

We study radiative capture reactions using quasi-separable potentials. This procedure allows an easier treatment of non-local effects that can be extended to three-body problems. Using this technique, we calculate the neutron and proton…

Nuclear Theory · Physics 2016-12-21 Shubhchintak , C. A. Bertulani , A. M. Mukhamedzhanov , A. T. Kruppa

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 investigate the two-proton capture reaction of the prominent rapid proton capture waiting point nucleus, $^{68}$Se, that produces the borromean nucleus $^{70}$Kr ($^{68}$Se$+p+p$). We apply a recently formulated general model where the…

Nuclear Theory · Physics 2018-05-23 D. Hove , E. Garrido , A. S. Jensen , P. Sarriguren , H. O. U. Fynbo , D. V. Fedorov , N. T. Zinner

The process of capture of a molecular enesemble into rotational resonance in the optical centrifuge is investigated. The adiabaticity and phase space incompressibility are used to find the resonant capture probability in terms of two…

Atomic and Molecular Clusters · Physics 2016-04-13 Tsafrir Armon , Lazar Friedland

We consider a class of multiscale parabolic problems with diffusion coefficients oscillating in space at a possibly small scale $\varepsilon$. Numerical homogenization methods are popular for such problems, because they capture efficiently…

Numerical Analysis · Mathematics 2016-08-18 Nicolas Crouseilles , Mohammed Lemou , Gilles Vilmart

Assuming that the ratio between asymptotic normalization coefficients of mirror states is model independent, charge symmetry can be used to indirectly extract astrophysically relevant proton capture reactions on proton-rich nuclei based on…

Nuclear Theory · Physics 2015-05-30 L. J. Titus , P. Capel , F. M. Nunes

We consider asymptotics of planar orthogonal polynomials $P_{n,N}$ (where $\mathrm{deg}P_{n,N}=n$) with respect to the weight $$\frac{|z-w|^{2NQ_1}}{(1+|z|^2)^{N(1+Q_0+Q_1)+1}}, \quad(Q_0,Q_1 > 0)$$ in the whole complex plane. With $n,…

Classical Analysis and ODEs · Mathematics 2025-05-21 Sung-Soo Byun , Peter J. Forrester , Arno B. J. Kuijlaars , Sampad Lahiry

The importance of n-p radiative capture, utilizing polarized cold neutrons, as a means of measuring the weak pion coupling constant is reviewed. Parity conserving processes of the form k_gamma*[s_n,k_n] can contribute to the s_n*k_gamma…

Nuclear Theory · Physics 2016-09-08 Attila Csoto , B. F. Gibson , G. L. Payne

The proton transfer ${\rm{^7Be}}$($d$,$n$)${\rm{^8B}}$ reaction at the energy of 4.5 MeV (c.m.) has been analysed within the modified DWBA. New estimates and their uncertainties are obtained for values of the asymptotic normalization…

Nuclear Theory · Physics 2016-11-23 O. Tojiboev , R. Yarmukhamedov , S. V. Artemov , S. B. Sakuta