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A Coulomb sum rule is derived for the response of nuclei to $(e,e^\prime)$ scattering with large three-momentum transfers. Unlike the nonrelativistic formulation, the relativistic Coulomb sum is restricted to spacelike four-momenta for the…

Nuclear Theory · Physics 2009-09-25 T. C. Ferrée , D. S. Koltun

We study gravitational radiation reaction in the equations of motion for binary systems with spin-orbit coupling, at order (v/c)^7 beyond Newtonian gravity, or O(v/c)^2 beyond the leading radiation reaction effects for non-spinning bodies.…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Jing Zeng , Clifford M. Will

The deviation of the decay law from the exponential is a well known effect of quantum mechanics. Here we analyze the relativistic survival probabilities, $S(t,p)$, where $p$ is the momentum of the decaying particle and provide analytical…

High Energy Physics - Phenomenology · Physics 2024-09-04 D. F. Ramírez Jiménez , A. F. Guerrero Parra , N. G. Kelkar , M. Nowakowski

Collective nuclear excitations, like giant resonances, are sensitive to nuclear deformation, as evidenced by alterations in their excitation energies and transition strength distributions. A common theoretical framework to study these…

Nuclear Theory · Physics 2024-04-23 A. Ravlić , T. Nikšić , Y. F. Niu , P. Ring , N. Paar

Within the framework of the relativistic plane wave impulse approximation, we study the observable consequences of employing a complete Lorentz invariant representation of the NN scattering matrix in terms of 44 independent amplitudes, as…

Nuclear Theory · Physics 2008-11-26 B. I. S. van der Ventel , G. C. Hillhouse

Attempts to apply effective field theory (EFT) methods to nonrelativistic nucleon-nucleon (NN) scattering have raised questions about the nature and limitations of an EFT expansion when used nonperturbatively. We discuss the characteristics…

Nuclear Theory · Physics 2009-10-31 James V. Steele , R. J. Furnstahl

We extend the formalism of weak interaction processes, obtaining new expressions for the transition rates, which greatly facilitate numerical calculations, both for neutrino-nucleus reactions and muon capture. We have done a thorough study…

Nuclear Theory · Physics 2015-06-04 A. R. Samana , F. Krmpotić , N. Paar , C. A. Bertulani

The nonrelativistic singlet state average $\langle \psi|{\vec a}\cdot\vec \sigma\otimes {\vec b}\cdot\vec \sigma|\psi\rangle =-\vec a\cdot\vec b $ can be relativistically generalized if one defines spin {\it via\/} the relativistic…

Quantum Physics · Physics 2007-05-23 Marek Czachor

The parity-violating spin asymmetry Apv for elastic electron scattering from spin-zero nuclei, together with its QED corrections, is evaluated non-perturbatively within the phase-shift analysis. Dispersion corrections, taking into account…

Nuclear Theory · Physics 2026-03-30 D. H. Jakubassa-Amundsen , X. Roca-Maza

We examine several zero-range potentials in non-relativistic quantum mechanics. The study of such potentials requires regularization and renormalization. We contrast physical results obtained using dimensional regularization and cutoff…

High Energy Physics - Theory · Physics 2009-10-30 Daniel R. Phillips , Silas R. Beane , Thomas D. Cohen

We have studied the reaction eta d -> eta d close to threshold within a nonrelativistic three-body formalism. We considered several eta N and NN models, in particular potentials with separable form, fitted to the low-energy eta N and NN…

Nuclear Theory · Physics 2009-11-06 H. Garcilazo , M. T. Pena

Calculations of the $^{16}$O$(e,e'pN)$ cross sections to the ground state and first excited levels of the $^{14}$C and $^{14}$N nuclei are presented. The effects of nuclear fragmentation have been obtained in a self-consistent approach and…

Nuclear Theory · Physics 2009-11-10 C. Barbieri , C. Giusti , F. D. Pacati , W. H. Dickhoff

We have performed a many-body calculation of the longitudinal nuclear $(e,e')$ reaction employing a Second RPA (SRPA) formalism which contains the $\Delta$(1232). More explicitly, our scheme contains RPA correlations as well as Hartree-Fock…

Nuclear Theory · Physics 2009-11-10 E. Bauer

We present the first calculations of proton elastic and inelastic scattering in which the Pauli blocking operator contains the leading non-spherical components as well as the usual spherical (angle-averaged) part. We develop a formalism for…

Nuclear Theory · Physics 2009-11-10 E. J. Stephenson , R. C. Johnson , F. Sammarruca

In this work we study the effective potential in noncommutative three-dimensional models where the noncommutativity is introduced through the coherent state approach. We discuss some important characteristics that seem to be typical to this…

High Energy Physics - Theory · Physics 2014-11-20 A. C. Lehum , J. R. Nascimento , A. Yu. Petrov

We find third-power nonlinear corrections to the Coulomb and other static electric fields, as well as to the electric and magnetic dipole fields, as we work within QED with no background field. The nonlinear response function we base our…

High Energy Physics - Theory · Physics 2013-10-30 Caio V. Costa , Dmitry M. Gitman , Anatoly E. Shabad

Accurate results for nonrelativistic energy, relativistic, QED, and finite nuclear mass corrections are obtained for $2^1S_{1/2}$, $3^1S_{1/2}$ and $2^1P_{1/2}$ states of the Li atom and Be$^+$ ion. Our computational approach uses the…

Atomic Physics · Physics 2009-11-13 Mariusz Puchalski , Krzysztof Pachucki

The spinless relativistic Coulomb problem is the bound-state problem for the spinless Salpeter equation (a standard approximation to the Bethe--Salpeter formalism as well as the most simple generalization of the nonrelativistic…

High Energy Physics - Phenomenology · Physics 2008-11-26 Wolfgang Lucha , Franz F. Schöberl

We report measurements of the cross section and a complete set of polarization transfer observables for the ${}^{16}{\rm O}(\vec{p},\vec{n}){}^{16}{\rm F}$ reaction at a bombarding energy of $T_p$ = 296 MeV and a reaction angle of…

Nuclear Experiment · Physics 2011-08-22 T. Wakasa , M. Okamoto , M. Takaki , M. Dozono , K. Hatanaka , M. Ichimura , T. Noro , H. Okamura , Y. Sakemi

Relativistic Continuum Random Phase Approximation (CRPA) is used to investigate collective excitation phenomena in several spherical nuclei along the periodic table. We start from relativistic mean field calculations based on a covariant…

Nuclear Theory · Physics 2011-03-21 J. Daoutidis , P. Ring
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