The s-wave pion-nucleus optical potential

Abstract

We calculate the s-wave part of the pion-nucleus optical potential using a unitarized chiral approach that has been previously used to simultaneously describe pionic hydrogen and deuterium data as well as low energy pi N scattering in the vacuum. This energy dependent model allows for additional isoscalar parts in the potential from multiple rescattering. We consider Pauli blocking and pion polarization in an asymmetric nuclear matter environment. Also, higher order corrections of the pi N amplitude are included. The model can accommodate the repulsion required by phenomenological fits, though the theoretical uncertainties are bigger than previously thought. At the same time, we also find an enhancement of the isovector part compatible with empirical determinations.

31 pages, 27 figures

References in corpus (46)

• Chiral Dynamics in Nucleons and Nuclei
• Chiral dynamics in the presence of bound states: kaon-nucleon interactions revisited
• Non perturbative chiral approach to s-wave \bar{K}N interactions
• Chiral perturbation theory
• Pion-nucleon scattering in chiral perturbation theory I: Isospin-symmetric case
• In-medium nuclear interactions of low-energy hadrons
• Recent Developments in Chiral Perturbation Theory
• The properties of \bar{K} in the nuclear medium
• Chiral unitary approach to S-wave meson baryon scattering in the strangeness S=0 sector
• Precision spectroscopy of pionic 1s states of Sn nuclei and evidence for partial restoration of chiral symmetry in the nuclear medium
• Baryonic Resonances from Baryon Decuplet-Meson Octet Interaction
• Dispersion Relation Constrained Partial Wave Analysis of piN Elastic and piN\to\etaN Scattering Data: The Baryon Spectrum
• Ground-state energy of pionic hydrogen to one loop
• Chiral unitary meson-baryon dynamics in the presence of resonances: Elastic pion-nucleon scattering
• In-medium chiral perturbation theory beyond the mean-field approximation
• Chiral Dynamics of Deeply Bound Pionic Atoms
• Theoretical study of the N N --> N N pi pi reaction
• Determination of the pion-nucleon coupling constant and scattering lengths
• The reaction $\pi N\to \pi \pi N$ at threshold in chiral perturbation theory
• Pion-nucleon scattering in an effective chiral field theory with explicit spin-3/2 fields
• S-wave Meson-Nucleon Interactions and the Meson Mass in Nuclear Matter from Chiral Effective Lagrangians
• $\sigma$ Exchange in the NN Interaction within the Chiral Unitary Approach
• eta in the nuclear medium within a chiral unitary approach
• Chiral approach to the rho meson in nuclear matter
• Systematic calculation of s-wave pion and kaon self-energies in asymmetric nuclear matter
• pi(-)p atom in ChPT: strong energy-level shift
• The S-Wave Pion-Nucleon Scattering Lengths from Pionic Atoms using Effective Field Theory
• S-Wave Pion-Pion Correlations in Dense Nuclear Matter
• Chiral nonperturvative approach to the isoscalar s-wave pion-pion interaction in a nuclear medium
• In-medium pi-pi Correlation Induced by Partial Restoration of Chiral Symmetry
• Isospin-breaking corrections in the pion-deuteron scattering length
• Roper Excitation in Alpha-Proton Scattering
• The pion-nucleon scattering lengths from pionic deuterium
• The in-medium isovector pi N amplitude from low energy pion scattering
• Dispersive and absorptive corrections to the pion-deuteron scattering length
• In-Medium Chiral Perturbation Theory and Pion Weak Decay in the Presence of Background Matter
• Chiral Lagrangians at finite density
• S-wave pion nucleon scattering lengths from $\pi N$, pionic hydrogen and deuteron data
• Deriving the quark condensate within a finite Fermi system from the generating functional of chiral perturbation theory
• In-medium modification of the isovector pion-nucleon amplitude
• Evaluation of the $\pi \pi$ scattering amplitude in the $\sigma$-channel at finite density
• Short range correlations in the pion s-wave self-energy of pionic atoms
• Chiral Perturbation Theory in a Nuclear Background
• Two pion mediated scalar isoscalar NN interaction in the nuclear medium
• Pionic susceptibility for charged pions in asymmetric nuclei
• A phenomenological determination of the pion-nucleon scattering lengths from pionic hydrogen

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• Hadron properties in the nuclear medium
• In-medium Pion and Partial Restoration of Chiral Symmetry
• Non-perturbative methods for a chiral effective field theory of finite density nuclear systems
• Constraining the density dependence of the symmetry energy using the multiplicity and average $p_T$ ratios of charged pions
• Chiral condensate at finite density using chiral Ward identity
• Possibility of s-wave pion condensates in neutron stars revisited
• Pion properties at finite nuclear density based on in-medium chiral perturbation theory
• Chiral Effective Field Theory for Nuclear Matter with long- and short-range Multi-Nucleon Interactions
• Theory of Majorana-Type Heavy Ion Double Charge Exchange Reactions by Pion--Nucleon Isotensor Interactions
• Momentum-space second-order pion-nucleus potential including medium effects in the $\Delta (1232)$ region