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In the model calculations of heavy element nucleosynthesis processes the nuclear reaction rates are taken from statistical model calculations which utilize various nuclear input parameters. It is found that in the case of reactions…

Nuclear Experiment · Physics 2014-12-01 Gy. Gyürky , Zs. Fülöp , Z. Halász , G. G. Kiss , T. Szücs

The probability distribution describing the state of a Stochastic Reaction Network evolves according to the Chemical Master Equation (CME). It is common to estimated its solution using Monte Carlo methods such as the Stochastic Simulation…

Quantitative Methods · Quantitative Biology 2015-06-18 Benjamin Hepp , Ankit Gupta , Mustafa Khammash

The $^{16}$O(p,$\gamma$)$^{17}$F reaction is the slowest hydrogen-burning process in the CNO mass region. Its thermonuclear rate sensitively impacts predictions of oxygen isotopic ratios in a number of astrophysical sites, including AGB…

Nuclear Theory · Physics 2022-11-16 Christian Iliadis , Vimal Palanivelrajan , Rafael S. de Souza

In this paper, we study the thermodynamics of short-range central potentials, namely, the Lee-Wick potential, and the Plasma potential. In the first part of the paper we obtain the numerical solution for the orbits equation for these…

General Relativity and Quantum Cosmology · Physics 2020-09-11 M. J. Neves , Everton M. C. Abreu , Jorge B. de Oliveira , Marcelo Kesseles Gonçalves

Semi-analytical expressions are suggested for the temperature dependence of those combinations of transport coefficients which govern the fission process. This is based on experience with numerical calculations within the linear response…

Nuclear Theory · Physics 2009-11-07 H. Hofmann , F. A. Ivanyuk , C. Rummel , S. Yamaji

Simultaneous analyses are performed for cross section data of elastic scattering, fusion, Coulomb breakup, and other direct yields for the $^{6}$He+$^{209}$Bi system at near-Coulomb-barrier energies. The bare and dynamical polarization…

Nuclear Theory · Physics 2024-02-08 H. M. Maridi , N. Keeley , K. Rusek

Reporting extensions of a recently developed approach to density functional theory with correct long-range be-havior (Phys. Rev. Lett. 94, 043002 (2005)). The central quantities are a splitting functional gamma[n] and a complementary…

Materials Science · Physics 2017-09-13 Ester Livshits , Roi Baer

We calculate the cross section for inclusive prompt photon production in $\gamma\gamma$ collisions, i.e. the reaction $e^+e^-\to \gamma \gamma \to \gamma X$, in next-to-leading order QCD. We show that at LEP2 energies this cross section is…

High Energy Physics - Phenomenology · Physics 2014-11-17 L. E. Gordon , J. K. Storrow

The radiative neutron capture reaction rates have been studied at very low energies which are of interest for nuclear astrophysics. The rates for many of these reactions have remained independent of temperature so far. The temperature…

Nuclear Theory · Physics 2021-07-26 Vinay Singh , Joydev Lahiri , D. N. Basu

This paper re-examines the density for sums of independent exponential, Erlang and gamma random variables. By using a divided difference perspective, the paper provides a unified approach to finding closed-form formulae for such…

Probability · Mathematics 2021-08-10 Edmond Levy

The overall uncertainties in predicting heavy element synthesis cross sections are examined in terms of the uncertainties associated with the calculations of capture cross sections, fusion probabilities and survival probabilities. Attention…

Nuclear Experiment · Physics 2015-10-28 W. Loveland

The cross section of the reaction $pp \to pp \gamma \gamma$ is estimated and the exploration possibilities of this reaction to probe for a possible excitation of subnuclear degrees of freedom in two-nucleon systems, in particular, the…

Nuclear Theory · Physics 2007-05-23 S. B. Gerasimov

A method for integrating the chemical equations associated with nuclear combustion at high temperature is presented and extensively checked. Following the idea of E. M\"uller, the feedback between nuclear rates and temperature was taken…

Astrophysics · Physics 2007-05-23 Ruben M. Cabezon Gomez , Domingo Garcia-Senz , Eduardo Bravo

Simple analytical models for E1 strength function calculations of the $\gamma$-decay are investigated.

Nuclear Theory · Physics 2017-08-23 V. A. Plujko , O. O. Kavatsyuk

In order to overcome the limitations of the original expression of the probability distribution appearing in literature of Incomplete Statistics, a new expression of the probability distribution is derived, where the Lagrange multiplier %B%…

Statistical Mechanics · Physics 2007-05-23 ZhiFu Huang , Bihong Lin , Jincan Chen

Reaction and elastic differential cross sections are calculated for light nuclei in the framework of the Glauber theory. The optical phase-shift function is evaluated by Monte Carlo integration. This enables us to use the most accurate wave…

Nuclear Theory · Physics 2008-11-26 Kalman Varga , Steven C. Pieper , Y. Suzuki , R. B. Wiringa

By evaluating all the contributions of the intermediate states of the multiple scattering theory diagrams, we compute the integrated stripping cross sections of collisions among light nuclei. The resulting expressions have the simple form…

High Energy Physics - Phenomenology · Physics 2009-10-31 Yu. M. Shabelski , D. Treleani

An influence of some incorrectness of analysis on the level densities and radiative strength functions derived from the experimental gamma-spectra is considered. It was shown that the obtaining of reliable data from the reaction (n,2gamma)…

Nuclear Experiment · Physics 2007-05-23 A. M. Sukhovoj , V. A. Khitrov , Li Chol

[Background] Alpha-nucleus optical potentials are basic ingredients of statistical model calculations used in nucleosynthesis simulations. While the nucleon+nucleus optical potential is fairly well known, for the alpha+nucleus optical…

Nuclear Experiment · Physics 2018-05-22 G. G. Kiss , T. Szucs , P. Mohr , Zs. Torok , R. Huszank , Gy. Gyurky , Zs. Fulop

The paper gives an account of a detailed investigation of the thermodynamic branch as a path of the chemical system deviation from its isolated thermodynamic equilibrium under an external impact. For a combination of direct and reverse…

General Physics · Physics 2012-03-26 B. Zilbergleyt