Chiral potential renormalized in harmonic-oscillator space

Abstract

We renormalize the chiral effective field theory (EFT) potential in harmonic-oscillator (HO) model space. The low energy constants (LECs) are utilized to absorb not just the ultra-violet part of the physics due to the cutoff, but also the infrared part due to the truncation of model space. We use the inverse J-matrix method to reproduce the nucleon-nucleon (NN) scattering phase shifts in the given model space. We demonstrate that by including the NLO correction, the nucleon-nucleon scattering in the continuum could be well reproduced in the truncated HO trap space up to laboratory energy $T_{lab}=100$ MeV with number of HO basis $n_{max}$ as small as 10. A perturbative power counting starts at subleading order is adopted in this work, and how to extract the perturbative contribution is demonstrated. Our work serves as the input to perform ab-initio calculations.

arXiv commentpublished version. 23 pages, 11 figures

References in corpus (44)

• Modern Theory of Nuclear Forces
• Construction of high-quality Nucleon-Nucleon potential models
• Effective Field Theory for Few-Nucleon Systems
• The two-nucleon system at next-to-next-to-next-to-leading order
• The Two-Nucleon Potential from Chiral Lagrangians
• Properties of ${}^{12}$C in the {\it ab initio} nuclear shell-model
• Nuclear forces from chiral Lagrangians using the method of unitary transformation II: The two-nucleon system
• Renormalization of One-Pion Exchange and Power Counting
• Nuclear forces from chiral Lagrangians using the method of unitary transformation I: Formalism
• Effective Field Theory of Nuclear Forces
• Ab initio no-core full configuration calculations of light nuclei
• Accurate Nucleon-Nucleon Potential Based upon Chiral Perturbation Theory
• Many-body nuclear Hamiltonian: Ab exitu approach
• Power counting with one-pion exchange
• Chiral 2pi exchange at order four and peripheral NN scattering
• Convergence properties of {\itshape ab initio} calculations of light nuclei in a harmonic oscillator basis
• Perturbative renormalizability of chiral two pion exchange in nucleon-nucleon scattering
• Renormalizing Chiral Nuclear Forces: Triplet Channels
• No-core shell model in an effective-field-theory framework
• Universal properties of infrared oscillator basis extrapolations
• Perturbative Renormalizability of Chiral Two Pion Exchange in Nucleon-Nucleon Scattering: P- and D-waves
• Short-range nuclear forces in singlet channels
• Nucleon-nucleon interaction in the $J$-matrix inverse scattering approach and few-nucleon systems
• Effective Theory for Trapped Few-Fermion Systems
• Effective operators within the ab initio no-core shell model
• Renormalizing Chiral Nuclear Forces: A Case Study of 3P0
• Novel NN interaction and the spectroscopy of light nuclei
• Systematic expansion for infrared oscillator basis extrapolations
• Deconstructing triplet nucleon-nucleon scattering
• Subtractive renormalization of the NN interaction in chiral effective theory up to next-to-next-to-leading order: S waves
• An effective field theory approach to two trapped particles
• Nucleon-Nucleon Scattering in a Harmonic Potential
• Subtractive renormalization of the chiral potentials up to next-to-next-to-leading order in higher NN partial waves
• Ultraviolet extrapolations in finite oscillator bases
• Three and Four Harmonically Trapped Particles in an Effective Field Theory Framework
• Infinite-cutoff renormalization of the chiral nucleon-nucleon interaction at N3LO
• Two and Three Nucleons in a Trap and the Continuum Limit
• Effective field theory in the harmonic oscillator basis
• Improved convergence of chiral effective field theory for 1S0 of NN scattering
• Effective interactions for light nuclei: an effective (field theory) approach
• Universal few-body physics in a harmonic trap
• The Form of the Effective Interaction in Harmonic-Oscillator-Based Effective Theory
• Convergence Properties of the Effective Theory for Trapped Bosons
• Nuclear Physics without High-Momentum Potentials: Direct Construction of the Effective Interaction from Scattering Observables

Cited by in corpus (14)

• Nuclear effective field theory: status and perspectives
• A Guided Tour of Ab Initio Nuclear Many-Body Theory
• Non-Empirical Interactions for the Nuclear Shell Model: An Update
• Towards grounding nuclear physics in QCD
• Pion-less effective field theory for atomic nuclei and lattice nuclei
• Power counting in chiral effective field theory and nuclear binding
• Charged particles interaction in both a finite volume and a uniform magnetic field
• Perturbative computations of neutron-proton scattering observables using renormalization-group invariant $\chi$EFT up to N${}^3$LO
• Nuclear Physics without High-Momentum Potentials: Constructing the Nuclear Effective Interaction Directly from Scattering Observables
• Calculations for nuclear matter and finite nuclei within and beyond energy--density--functional theories through interactions guided by effective field theory
• Feasibility of perturbative generation of bound-states from resonances or virtual states
• Perturbative $\chi$EFT calculations of the deuteron and triton up to N${}^2$LO
• Toward extracting scattering phase shift from integrated correlation functions on quantum computers
• Trapped two-nucleon system in energy-dependent effective field theory