The three-body force in the trinucleons

Gibson, B. F.; McKellar, Bruce H. J.

doi:10.1007/bf01077593

Cited by 41 publications

(10 citation statements)

References 86 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Although the nuclear three-nucleon interaction (TNI) is very weak in comparison to the two-nucleon interaction [1], it nevertheless has been found that the binding energies of the bound three-and four-nucleon systems cannot be understood without taking into account the attraction caused by the TNI [2]. The main component of the nuclear TNI is that associated with two-pion exchange, which arises from, for the major part, pion rescattering through an intermediate virtual ∆ 33 resonance.…”

Section: Introductionmentioning

confidence: 99%

Repulsive short-range three-nucleon interaction

1995

View full text Add to dashboard Cite

The three nucleon interaction that arises from pion and the effective scalar and vector meson exchange components of the nucleon-nucleon interaction is constructed and shown to be repulsive. Using several wavefunction models we show that this interaction reduces the calculated binding energy of the trinucleons by about 200 keV. The contributions of intermediate N(1440) resonances to this three nucleon interaction and of the D-state component in the trinucleon model are estimated, and shown to be small.

show abstract

Section: Introductionmentioning

confidence: 99%

Repulsive short-range three-nucleon interaction

1995

View full text Add to dashboard Cite

show abstract

“…The nucleon analyzing power is the quantity where one hopes to gain information on the N-N P waves and eventually on three-body forces. 21 As far as the proton analyzing power is concerned, our results show that Coulomb corrections contribute in the forward direction and in particular around the maximum value of this observable. This shift between the maxima of the neutron and proton analyzing powers is interesting because it has been established before by n-d and p-d measurements of comparable accuracy at energies above breakup threshold.…”

Section: Exact Three-body Calculation Of P-d Polarization Observablesmentioning

confidence: 69%

Exact Three-Body Calculation ofp−dPolarization Observables

1988

View full text Add to dashboard Cite

Modified Faddeev-type three-nucleon equations that also include the Coulomb potential between the two protons are solved in momentum space. With a separable representation of the Paris potential for the N-N 'So, the coupled 3 S\ -3 D\, and the P states, we have calculated for the first time p-d polarization observables. Our p-d results at E p =2.5 MeV are compatible with the measured p-d data and demonstrate that a proper treatment of the p-d Coulomb corrections is required.The nucleon-nucleon (N-N) system represents the prime source of information on the interaction between nucleons at energies relevant for nonrelativistic potential theory. However, some aspects of the interaction, such as the spin-(and to some extent also the isospin-) dependent part, are not easily accessible through TV-TV scattering, and the off-shell component of the interaction can practically not be obtained from a pure two-body system. In the system with three nucleons the interaction between two nucleons is distorted by the presence of the third nucleon, and consequently the off-shell component of the TV-TV interaction can be studied. In addition, spin-polarization effects in three-nucleon scattering are bigger than in N-N scattering by at least an order of magnitude and lend themselves even, at rather small laboratory energy, to better information on the spin dependence of the TV-TV interaction. Also, since an exact theory describing three nucleons interacting via strong two-body forces is available by the Faddeev equations, the situation seems to be quite favorable for improving our knowledge of the TV-TV interaction by means of the three-nucleon system.Unfortunately the Coulomb force has spoiled real progress so far because it has an inverse impact on theory and experiment. For experiments, namely, spin-polarizaton experiments, mostly the reaction with electrically charged particles, i.e., proton-deuteron (p-d) scattering, has been studied, 1 whereas for the neutralreaction counterpart, i.e., neutron-deuteron (n-d) scattering, data are sparse and are restricted to differential cross sections and neutron analyzing powers in elastic reactions. 2 What is advantageous for the experiment turns out to be a major problem for the theory, because originally the Faddeev equations were derived only for twobody potentials of sufficiently short range. To accomodate the infinite range of the Coulomb potential in the Faddeev equations is by no means trivial, and this has been the reason why data from p-d experiments have usually been analyzed on the basis of n-d calculations supplemented by approximate Coulomb corrections. The standard approximation 3 originates from the two-body Coulomb scattering between the proton and the electric charge of the deuteron located at its center of mass (cm. scattering), whereas another approximation 4 tried, in addition, to describe in a two-body manner the distortion that the strong interaction experiences in the presence of the Coulomb force. The fact that p-d polarization measurements have been essentially compar...

show abstract

“…( 1) includes two attractive and repulsive parts. In the UA models, the attractive long-range part of three-body potential, V ijk = V 2π ijk + V R ijk , corresponds to a two-pion exchange interaction that was first investigated by Fujita and Miyazawa [53,23,3]:…”

Section: Inter-nucleon Interactionsmentioning

confidence: 99%

“…The assumption herein has been that the attractive two-pion-exchange term and the repulsive term would dominate in 3 H/ 4 He systems and in high-density nuclear matter, respectively [22]. This can be understood, for example, since realistic two-body models tend to underbind 3 H by an order of 1 MeV [23]. As an indirect indication, there have been also studies arguing that the existence of neutron stars with masses of about two times the Earth's mass would rule out nuclear models with no TBF assumptions [24].…”

Section: Introductionmentioning

confidence: 99%

Nuclear matter calculations with the phenomenological three-nucleon interaction

Moeini,

Bordbar

2022

Preprint

View full text Add to dashboard Cite

Employing the concept of three-body radial distribution function and using the two-body correlation functions, calculated based on the lowest order constrained variational method, we investigated the effect of the three-body force (TBF) on the nuclear matter properties, for Argonne and Urbana v 14 potentials. As such, the results for nuclear matter density, incompressibility, energy per nucleon, and symmetry energy are presented at the saturation point. The inclusion of a phenomenological TBF resulted in closer values of the saturation density, incompressibility, and symmetry energy to the empirical ones for the symmetric nuclear matter. This is especially the case for the Urbana v 14 potential. In addition, an empirically-verified parabolic approximation of the interaction energy was utilized to perform an approximate study of the nuclear matter with neutron excess. Hence, at densities higher than about 0.3 fm −3 and for proton-to-neutron density ratios close to the symmetric nuclear matter, the inclusion of TBF resulted in an extra attraction for the Argonne as compared to the Urbana v 14 potential.

show abstract

The three-body force in the trinucleons

Cited by 41 publications

References 86 publications

Repulsive short-range three-nucleon interaction

Repulsive short-range three-nucleon interaction

Exact Three-Body Calculation ofp−dPolarization Observables

Nuclear matter calculations with the phenomenological three-nucleon interaction

Contact Info

Product

Resources

About