The axial polarisability of nucleons and nuclei

Ericson, M.; Figureau, A.

doi:10.1088/0305-4616/7/9/011

Cited by 19 publications

(23 citation statements)

References 25 publications

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“…The agreement with Galitskii's result [29] serves as an important check on the technically involved calculation behind eqs. (15,16). Fig.…”

Section: Real Part Of Single-particle Potentialmentioning

confidence: 98%

“…(23)(24)(25)(26)(27)(28)(29)(30)) the contributions from 1π-exchange and iterated 1π-exchange written down in eqs. (9,11,12,14,15,18,19,22,24,27,28) of ref. [36].…”

Section: Nuclear Energy Density Functionalmentioning

confidence: 99%

“…r 6 (6 + 12x + 10x 2 + 4x 3 + x 4 ) , with x = m π r and the prefactor includes the spin-isospin (axial) polarizability of the nucleon [15], g 2 A /f 2 π ∆ = 5.2 fm 3 , from the virtual N → ∆(1232) → N transition. The familiar r −6 -dependence of the non-relativistic van-der-Waals interaction emerges in the chiral limit, m π = 0.…”

Section: Introduction and Preparationmentioning

confidence: 99%

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Chiral approach to nuclear matter: role of two-pion exchange with virtual delta-isobar excitation

2005

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We extend a recent three-loop calculation of nuclear matter in chiral perturbation theory by including the effects from two-pion exchange with single and double virtual ∆(1232)-isobar excitation. Regularization dependent short-range contributions from pionloops are encoded in a few NN-contact coupling constants. The empirical saturation point of isospin-symmetric nuclear matter,Ē 0 = −16 MeV, ρ 0 = 0.16 fm −3 , can be well reproduced by adjusting the strength of a two-body term linear in density (and tuning an emerging three-body term quadratic in density). The nuclear matter compressibility comes out as K = 304 MeV. The real single-particle potential U (p, k f 0 ) is substantially improved by the inclusion of the chiral πN ∆-dynamics: it grows now monotonically with the nucleon momentum p. The effective nucleon mass at the Fermi surface takes on a realistic value of M * (k f 0 ) = 0.88M . As a consequence of these features, the critical temperature of the liquid-gas phase transition gets lowered to the value T c ≃ 15 MeV. In this work we continue the complex-valued single-particle potential U (p, k f ) + i W (p, k f ) into the region above the Fermi surface p > k f . The effects of 2π-exchange with virtual ∆-excitation on the nuclear energy density functional are also investigated. The effective nucleon mass associated with the kinetic energy density is M * (ρ 0 ) = 0.64M . Furthermore, we find that the isospin properties of nuclear matter get significantly improved by including the chiral πN ∆-dynamics. Instead of bending downward above ρ 0 as in previous calculations, the energy per particle of pure neutron matterĒ n (k n ) and the asymmetry energy A(k f ) now grow monotonically with density. In the density regime ρ = 2ρ n < 0.2 fm −3 relevant for conventional nuclear physics our results agree well with sophisticated many-body calculations and (semi)-empirical values.

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“…The agreement with Galitskii's result [29] serves as an important check on the technically involved calculation behind eqs. (15,16). Fig.…”

Section: Real Part Of Single-particle Potentialmentioning

confidence: 98%

“…(23)(24)(25)(26)(27)(28)(29)(30)) the contributions from 1π-exchange and iterated 1π-exchange written down in eqs. (9,11,12,14,15,18,19,22,24,27,28) of ref. [36].…”

Section: Nuclear Energy Density Functionalmentioning

confidence: 99%

Section: Introduction and Preparationmentioning

confidence: 99%

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Chiral approach to nuclear matter: role of two-pion exchange with virtual delta-isobar excitation

2005

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“…The dielectric polarizability of atoms, molecules and crystals, in static fields and at high frequencies, as well as the magnetic susceptibility is a classical subject of solid state physics [1]. The electromagnetic polarizability is, however, a property of matter in general and especially Ericson and Htifner [2] have been pioneers in the investigation of the polarizability of hadronic matter. The electric polarizability of a nucleus can e.g.…”

Section: Introductionmentioning

confidence: 99%

“…be determined through a measurement of the level shift in exotic atoms, i.e. in atoms where the electron is replaced by negatively charged heavier particles like muons, antiprotons, kaons .... which being close to the nucleus polarize its electric charge [2,3]. Much less is known about the magnetic polarizability of nuclei and only recently, for the first time, the paramagnetic nuclear susceptibility could be derived from systematically measured magnetic dipole ground state transitions mainly through high resolution inelastic electron scattering experiments [4,5].…”

Section: Introductionmentioning

confidence: 99%

On the scaling of the paramagnetic susceptibility of atoms, nuclei and nucleons

Knüpfer

Richter

1985

Z Physik A

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The present status of the paramagnetic susceptibility of nuclei derived from measurements of magnetic dipole ground state transitions is reported. The values for nuclei are compared with corresponding values from atomic and nucleonic matter. It is found that the mean paramagnetic susceptibilities of atoms (typical values of metals are chosen for comparison), nuclei and nucleons scale with the corresponding Fermi energies.

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