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Several determinants with gamma functions as elements are evaluated. This kind of determinants are encountered in the computation of the probability density of the determinant of random matrices. The s-shifted factorial is defined as a…

Mathematical Physics · Physics 2007-05-23 Jean-Marie Normand

The single-particle inclusive differential cross-section for a reaction $a+b\to c+X$ is written as the imaginary part of a correlation function in a for ward scattering amplitude for $a+b\to a+b$ in a modified effective theory. In this…

High Energy Physics - Phenomenology · Physics 2011-09-13 O. Nachtmann , A. Rauscher

A program for molecular calculations with B functions is reported and its performance is analyzed. All the one- and two-center integrals, and the three-center nuclear attraction integrals are computed by direct procedures, using previously…

Chemical Physics · Physics 2016-02-19 E. O. Steinborn , H. H. H. Homeier , I. Ema , R. Lopez , G. Ramirez

To explain the observed dynamics in equilibrium single-molecule measurements of biomolecules, the experimental observable is often chosen as a putative reaction coordinate along which kinetic behavior is presumed to be governed by diffusive…

Statistical Mechanics · Physics 2011-11-21 John D. Chodera , Vijay S. Pande

The status of "ab initio" microscopic calculations of the 2H(p,gamma)3He and 3He(p,e+nu_e)4He reactions is reviewed. The methods used to generate accurate nuclear ground- and scattering-state wave functions, and to construct realistic…

Nuclear Theory · Physics 2014-11-18 R. Schiavilla

A measurement of 74Ge(p,gamma)75As at low proton energies, inside the astrophysically relevant energy region, is important in several respects. The reaction is directly important as it is a bottleneck in the reaction flow which produces the…

The longitudinal and transverse nuclear responses to inclusive electron scattering reactions are analyzed within the Random Phase Approximation (RPA) framework. Several residual interactions are considered and it is shown that the exchange…

Nuclear Theory · Physics 2008-11-26 E. Bauer , A. Polls , A. Ramos

Two representations of the extended gamma functions $\Gamma^{2,0}_{0,2}[(b,x)]$ are proved. These representations are exploited to find a transformation relation between two Fox's $H$-functions. These results are used to solve Fox's…

Astrophysics · Physics 2007-05-23 M. Aslam Chaudhry

We describe a semiclassical treatment of nuclear fusion reactions involving weakly bound nuclei. In this treatment, the complete fusion probabilities are approximated by products of two factors: a tunneling probability and the probability…

Nuclear Theory · Physics 2009-11-11 L. F. Canto , R. Donangelo , H. D. Marta

Proton-activation reactions on natural and enriched palladium samples were investigated via the activation technique in the energy range of E_p=2.75 MeV to 9 MeV, close to the upper end of the respective Gamow window of the gamma process.…

We present a semiempirical Gaunt factor for widely used Van Regemorter formula [Astrophys. J. 136, 906 (1962)] for the case of allowed transitions in atoms with the LS coupling scheme. Cross sections calculated using this Gaunt factor agree…

atom-ph · Physics 2009-10-28 V. Fisher , V. Bernshtam , H. Golten , Y. Maron

It has been conjectured that the relative phase between strong and electromagnetic amplitudes is universally $-90^{\circ}$ in charmonium decays. $\psi^{\prime}$ decaying into pseudoscalar pair provides a possibility to test this conjecture.…

High Energy Physics - Phenomenology · Physics 2011-05-18 Wang Bo-Qun , Mo Xiao-Hu , Wang Ping , Ban Yong

We examine commonly used approaches to deal with the scattering of electrons from a bound nucleon. Several prescriptions are shown to be related by gauge transformations. Nevertheless, due to current non-conservation, they yield different…

Nuclear Theory · Physics 2008-11-26 S. J. Pollock , H. W. L. Naus , J. H. Koch

Nucleon density distributions and nucleus-nucleus interaction potentials for the reactions $^{16}$O+$^{40}$Ca, $^{16}$O+$^{56}$Fe and $^{16}$O+$^{90}$Zr have been calculated in the framework of the modified Thomas-Fermi method and…

Nuclear Theory · Physics 2023-01-12 V. A. Nesterov , O. I. Davydovska , V. Yu. Denisov

The delta function gauge of the electromagnetic potential allows semiclassical formulas to be obtained for the probability of exciting a single electron out of the ground state in an ultrarelativistic heavy ion reaction. Exact formulas have…

Atomic Physics · Physics 2008-12-18 A. J. Baltz

We suggest a certain statistical interpretation for the entropy produced in driven thermodynamic processes. The exponential function of half irreversible entropy re-weights the probability of the standard Ornstein-Uhlenbeck-type…

Chemical Physics · Physics 2007-05-23 Lajos Diosi

Nucleon transfer reactions in low-energy deuteron-deuteron scattering are described by solving exact four-particle equations in momentum space. The Coulomb interaction between the protons is included using the screening and renormalization…

Nuclear Theory · Physics 2011-08-23 A. Deltuva , A. C. Fonseca

A measurement of total cross-section values of the $^{130}$Ba(p,$\gamma$)$^{131}$La reaction at low proton energies allows a stringent test of statistical model predictions with different proton+nucleus optical model potentials. Since no…

Nuclear Experiment · Physics 2014-09-30 L. Netterdon , A. Endres , G. G. Kiss , J. Mayer , T. Rauscher , P. Scholz , K. Sonnabend , Zs. Török , A. Zilges

Estimating the probability distribution 'q' governing the behaviour of a certain variable by sampling its value a finite number of times most typically involves an error. Successive measurements allow the construction of a histogram, or…

Statistical Mechanics · Physics 2009-11-07 Ines Samengo

An extended database of experimental data is needed to address uncertainties of the nuclear-physics input parameters for Hauser-Feshbach calculations. Especially $\alpha$+nucleus optical model potentials at low energies are not well known.…

Nuclear Experiment · Physics 2015-03-18 L. Netterdon , J. Mayer , P. Scholz , A. Zilges