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The effect of different boost expressions is considered for the calculation of the ground-state form factor of a two-body system made of scalar particles interacting via the exchange of a scalar boson. The aim is to provide an uncertainty…

Nuclear Theory · Physics 2009-11-07 A. Amghar , B. Desplanques , L. Theussl

We present an improved version of the Wong formula for heavy-ion fusion, where the parameters of the parabolic approximation of the Coulomb barrier are replaced by parameters of the l-dependent potential at an effective partial-wave. A…

Nuclear Theory · Physics 2023-12-18 L. F. Canto , V. A. B. Zagatto , J. Lubian , R. Donangelo

Universal properties of the Coulomb interaction energy apply to all many-electron systems. Bounds on the exchange-correlation energy, inparticular, are important for the construction of improved density functionals. Here we investigate one…

Chemical Physics · Physics 2015-05-13 Mariana M. Odashima , K. Capelle

We propose a Jastrow factor for electron-electron correlations that interpolates between the radial symmetry of the Coulomb interaction at short inter-particle distance and the space-group symmetry of the simulation cell at large…

Strongly Correlated Electrons · Physics 2016-08-10 T. M. Whitehead , M. H. Michael , G. J. Conduit

A recently proposed method, based on quadrupole and multiplicity fluctuations in heavy ion collisions, is modified in order to take into account distortions due to the Coulomb field. This is particularly interesting for bosons produced in…

Nuclear Theory · Physics 2014-01-16 Hua Zheng , Gianluca Giuliani , Aldo Bonasera

We calculate certain features of Bose-Einstein condensation in the ideal gas by using recurrence relations for the partition function. The grand canonical ensemble gives inaccurate results for certain properties of the condensate that are…

Statistical Mechanics · Physics 2016-08-16 W. J. Mullin , J. P. Fernández

Our previous work [37] presented a rigorous derivation of quantum Boltzmann equations near a Bose-Einstein condensate (BEC). Here, we extend it with a complete characterization of the leading order fluctuation dynamics. For this purpose, we…

Mathematical Physics · Physics 2025-04-21 Thomas Chen , Michael Hott

The large-$Z$ asymptotic expansion of atomic energies has been useful in determining exact conditions for corrections to the local density approximation in density functional theory. The correction for exchange is fit well with a leading $Z…

Chemical Physics · Physics 2023-04-13 Nathan Argaman , Jeremy Redd , Antonio C. Cancio , Kieron Burke

The corrections of two-photon exchange on deuteron electromagnetic form factors are estimated based on an effective Lagrangian approach. Numerical results for the form factors $G_{C,M,Q}$ of the deuteron with the corrections are compared to…

Nuclear Theory · Physics 2010-04-22 Yu Bing Dong

The all-order correlation potential method of accurate atomic structure calculations for atoms with one external electron is extended to include one more class of correlation diagrams to all orders. These are the so-called ladder diagrams…

Atomic Physics · Physics 2010-09-20 V. A. Dzuba

A technique to deal with Coulomb electron distortions in the analysis of (e,e'p) reactions is presented. Thereby, no approximations are made. The suggested technique relies on a partial-wave expansion of the electron wave functions and a…

Nuclear Theory · Physics 2008-11-26 V. Van der Sluys , K. Heyde , J. Ryckebusch , M. Waroquier

We estimate two-photon exchange contribution to the process $e^+ +e^- \to p + \bar{p}$. The two-photon exchange corrections to double spin polarization observables and form factors in the time-like region are calculated. The corrections are…

Nuclear Theory · Physics 2008-11-26 D. Y. Chen , H. Q. Zhou , Y. B. Dong

We address the problem of including Coulomb distortion effects in inclusive quasielastic (e,e') reactions using the eikonal approximation. Our results indicate that Coulomb corrections may become large for heavy nuclei for certain…

Nuclear Theory · Physics 2014-11-18 Andreas Aste , Kai Hencken , Juerg Jourdan , Ingo Sick , Dirk Trautmann

We investigate correlation functions in a periodic box-ball system. For the second and the third nearest neighbor correlation functions, we give explicit formulae obtained by combinatorial methods. A recursion formula for a specific…

Exactly Solvable and Integrable Systems · Physics 2011-03-22 Jun Mada , Tetsuji Tokihiro

We present detailed calculations about the expected shape of two-pion Bose-Einstein (or HBT) correlations in high energy heavy ion collisions that include a realistic treatment of final state Coulomb interaction as well as strong…

High Energy Physics - Phenomenology · Physics 2023-09-27 D. Kincses , M. I. Nagy , M. Csanád

In response to recent experimental studies we investigate Coulomb distortion effects on $(e,e')$ reactions from medium and heavy nuclei for the case of electrons and positrons. We extend our previously reported full DWBA treatment of…

Nuclear Theory · Physics 2009-11-07 K. S. Kim , L. E. Wright , D. A. Resler

The effective intercept parameter of the two-pion Bose-Einstein correlation function, lambda_*, is found to be sensitive to the partial restoration of U_A(1) symmetry in ultra-relativistic nuclear collisions. An increase in the yield of the…

Nuclear Theory · Physics 2009-10-31 Stephen E. Vance , Tamas Csorgo , Dmitri Kharzeev

We propose a Lorentz invariant and little group covariant description of beta decay amplitudes relying on on-shell amplitude methods and the spinor variables for massive particles. The framework is employed to calculate Coulomb corrections…

High Energy Physics - Phenomenology · Physics 2025-01-24 Edoardo Alviani , Adam Falkowski

This paper introduces a new conservative fusion method to exploit the correlated components within the estimation errors. Fusion is the process of combining multiple estimates of a given state to produce a new estimate with a smaller MSE.…

Signal Processing · Electrical Eng. & Systems 2024-03-07 Colin Cros , Pierre-Olivier Amblard , Christophe Prieur , Jean-François Da Rocha

In this paper methods for calculations of multi-center integrals of squared Coulomb potentials and Slater-type orbitals (STO) are derived. These integrals are necessary for accurate lower bounds to energy levels of molecular systems. All…

Chemical Physics · Physics 2022-02-10 Sohei Ashida