Causality constraints for charged particles

Abstract

In quantum systems with short-range interactions, causality imposes nontrivial constraints on low-energy scattering parameters. We investigate these causality constraints for systems where a long-range Coulomb potential is present in addition to a short-range interaction. The main result is an upper bound for the Coulomb-modified effective range parameter. We discuss the implications of this bound to the effective field theory for nuclear halo systems. In particular, we consider several examples of proton--nucleus and nucleus--nucleus scattering. For the bound-state regime, we find relations for the asymptotic normalization coefficients (ANCs) of nuclear halo states. As an application of these relations, we extract the ANCs of the excited 2+ and 1- states in O-16 from alpha--C-12 scattering data.

34 pages, 6 figures, published version

References in corpus (21)

• Effective Field Theory for Halo Nuclei: Shallow p-Wave States
• Narrow Resonances in Effective Field Theory
• Renormalization of NN Interaction with Chiral Two Pion Exchange Potential. Central Phases and the Deuteron
• How short is too short? Constraining zero-range interactions in nucleon-nucleon scattering
• alpha-alpha Scattering in Halo Effective Field Theory
• Causality and the effective range expansion
• Electric properties of the Beryllium-11 system in Halo EFT
• Universal properties and structure of halo nuclei
• Short-range interactions in an effective field theory approach for nucleon-nucleon scattering
• Radiative Neutron Capture on Lithium-7
• The Jebsen-Birkhoff theorem in alternative gravity
• Influence of low energy scattering on loosely bound states
• Exotic Tetraquark ud bar[s] bar[s] of J^P=0^+ in the QCD Sum Rule
• Causality and universality in low-energy quantum scattering
• Non-relativistic bound states in a finite volume
• Range corrections for two-neutron halo nuclei in effective theory
• Renormalization vs Strong Form Factors for One Boson Exchange Potentials
• Reference priors for high energy physics
• Spin-Correlation Coefficients and Phase-Shift Analysis for p+${}^3$He Elastic Scattering
• Low energy universality and scaling of Van der Waals forces
• Causality bounds for neutron-proton scattering

Cited by in corpus (26)

• Nuclear effective field theory: status and perspectives
• The 12C(a,g)16O reaction and its implications for stellar helium burning
• Ab initio alpha-alpha scattering
• Effective field theory description of halo nuclei
• Effective field theory for proton halo nuclei
• Halo effective field theory constrains the solar Beryllium-7 + proton -> Boron-8 + photon rate
• Marrying ab initio calculations and Halo EFT: the case of ${}^7\mathrm{Be}+p\to {}^8\mathrm{B}+\gamma$
• Nucleon-deuteron scattering using the adiabatic projection method
• Constraining Low-Energy Proton Capture on Beryllium-7 through Charge Radius Measurements
• Elastic $\alpha$-${}^{12}$C scattering at low energies in cluster effective field theory
• Elastic $\alpha$-${}^{12}$C scattering at low energies with the bound states of ${}^{16}$O in effective field theory
• The proton-deuteron system in pionless EFT revisited
• Extrapolation of scattering data to the negative-energy region
• Low-energy bound states, resonances, and scattering of light ions
• Universal physics of bound states of a few charged particles
• Models, measurements, and effective field theory: proton capture on Beryllium-7 at next-to-leading order
• Alpha-alpha scattering in the Multiverse
• Cluster effective field theory and nuclear reactions
• Proton-proton fusion in lattice effective field theory
• Precision calculation of the quartet-channel p-d scattering length
• Femtoscopy correlation functions and hadron-hadron scattering amplitudes in presence of Coulomb potential
• Coupled-channels treatment of ${}^7\mathrm{Be}(p,\gamma {)}^8\mathrm{B}$ in effective field theory
• Causality, universality, and effective field theory for van der Waals interactions
• Universal bound states and resonances with Coulomb plus short-range potentials
• Fixing effective range parameters in elastic $\alpha$-${}^{12}$C scattering: an impact on resonant $2_4^{+}$ state of ${}^{16}$O and $S_{E2}$ factor of ${}^{12}$C($\alpha$,$\gamma$)${}^{16}$O
• Low Energy Continuum and Lattice Effective Field Theories