The Meson Theory of Nuclear Forces, I

Taketani, Mituo; Machida, Shigeru; Ônuma, S.

doi:10.1143/ptp.7.45

Cited by 60 publications

(66 citation statements)

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“…Based upon the seminal idea by Yukawa [1], first field-theoretic attempts to derive the nucleon-nucleon (N N ) interaction focused on pion exchange. While the one-pion exchange turned out to be very useful in explaining N N scattering data and, in particular, the properties of the deuteron [2], multi-pion exchange was beset with serious ambiguities [3,4] that could not be resolved in a satisfactory way. Thus, the "pion theories" of the 1950s are generally judged as failuresfor reasons we understand today: pion dynamics is constrained by chiral symmetry, a crucial point that was unknown in the 1950s.…”

Section: Introduction and Historical Perspectivementioning

confidence: 99%

Chiral effective field theory and nuclear forces

2011

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Section: Introduction and Historical Perspectivementioning

confidence: 99%

Chiral effective field theory and nuclear forces

2011

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“…In particular, electromagnetic exchange current operators were first discussed in this framework in the seminal paper by Park et al [28], who, however only focused on the near-threshold kinematics. More recently, the electromagnetic currents were re-derived for more general kinematical conditions by the JLab-Pisa group [29][30][31] using the framework of time-ordered perturbation theory (TOPT) and by the Bochum-Bonn group [32,33] within the method of unitary transformation (MUT) [34,35], which will be described below. It is important to keep in mind that nuclear forces and currents are not directly observable.…”

Section: Introductionmentioning

confidence: 99%

Nuclear axial current operators to fourth order in chiral effective field theory

2017

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We present the complete derivation of the nuclear axial charge and current operators as well as the pseudoscalar operators to fourth order in the chiral expansion relative to the dominant onebody contribution using the method of unitary transformation. We demonstrate that the unitary ambiguity in the resulting operators can be eliminated by the requirement of renormalizability and by matching of the pion-pole contributions to the nuclear forces. We give expressions for the renormalized single-, two-and three-nucleon contributions to the charge and current operators and pseudoscalar operators including the relevant relativistic corrections. We also verify explicitly the validity of the continuity equation.

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“…It is amazing how far this program had already been developed in the late fifties of the twentieth century. One example is the pioneering calculation of the two-pion exchange potential [4,5] (using dispersion relation techniques) and early knowledge [6] of the resonant pion-nucleon amplitude which anticipated the ∆-isobar models of later decades [7].…”

Section: Introductionmentioning

confidence: 99%

Nuclear chiral dynamics and thermodynamics

Holt

Kaiser

Weise

2013

Progress in Particle and Nuclear Physics

107

144

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This presentation reviews an approach to nuclear many-body systems based on the spontaneously broken chiral symmetry of low-energy QCD. In the low-energy limit, for energies and momenta small compared to a characteristic symmetry breaking scale of order 1 GeV, QCD is realized as an effective field theory of Goldstone bosons (pions) coupled to heavy fermionic sources (nucleons). Nuclear forces at long and intermediate distance scales result from a systematic hierarchy of one-and two-pion exchange processes in combination with Pauli blocking effects in the nuclear medium. Short distance dynamics, not resolved at the wavelengths corresponding to typical nuclear Fermi momenta, are introduced as contact interactions between nucleons. Apart from a set of low-energy constants associated with these contact terms, the parameters of this theory are entirely determined by pion properties and low-energy pion-nucleon scattering observables. This framework (in-medium chiral perturbation theory) can provide a realistic description of both isospin-symmetric nuclear matter and neutron matter, with emphasis on the isospin-dependence determined by the underlying chiral NN interaction. The importance of three-body forces is emphasized, and the role of explicit ∆(1232)-isobar degrees of freedom is investigated in detail. Nuclear chiral thermodynamics is developed and a calculation of the nuclear phase diagram is performed. This includes a successful description of the first-order phase transition from a nuclear Fermi liquid to an interacting Fermi gas and the coexistence of these phases below a critical temperature T c . Density functional methods for finite nuclei based on this approach are also discussed. Effective interactions, their density dependence and connections to Landau Fermi liquid theory are outlined. Finally, the density and temperature dependence of the chiral (quark) condensate is investigated.

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The Meson Theory of Nuclear Forces, I

Cited by 60 publications

References 0 publications

Chiral effective field theory and nuclear forces

Chiral effective field theory and nuclear forces

Nuclear axial current operators to fourth order in chiral effective field theory

Nuclear chiral dynamics and thermodynamics

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