Short-distance repulsion in three-nucleon forces from perturbative quantum chromodynamics

Aoki, Sinya; Balog, J.; Weisz, Peter

doi:10.1088/1367-2630/14/4/043046

Cited by 9 publications

(8 citation statements)

References 36 publications

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“…On the other hand, a universal short distance repulsion is shown to appear in 3N forces. 20) We also found, for a fixed number of valence quarks, a weaker short distance repulsion for increasing N v f . While the NN potentials (and potentials of general BB systems with N v f = 2) have the short distance repulsion at low energy, there appear short distance attractions in some channels of BB interactions with N v f = 3.…”

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confidence: 58%

“…In the first three subsections we briefly summarize our results for the leading behavior of 2 nucleon, 2 baryon (involving operators with 3 different flavors) and 3 nucleons; for the details of these computations the reader is requested to consult refs. 18), 21), 20) respectively. Our latest results concerning the case of 3 baryon operators are presented in the fourth subsection.…”

Section: )mentioning

confidence: 96%

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Toward an Understanding of Short Distance Repulsions among Baryons in QCD: NBS Wave Functions and Operator Product Expansion

Aoki

Balog

Weisz

2012

Progress of Theoretical Physics

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We report on our recent attempts to determine the short distance behaviors of general 2-baryon and 3-baryon forces, which are defined from the Nambu-Bethe-Salpeter(NBS) wave function, by using the operator product expansion and a renormalization group analysis in QCD. We have found that the repulsion at short distance increases as the number of valence quarks increases or when the number of different flavors involved decreases. This global tendency suggests a Pauli suppression principle among quark fields at work. §1. MotivationThe most fundamental quantity in nuclear physics is a force between nucleons, the nuclear force, from which major properties of nuclei are extracted. The phenomenological nuclear potentials, 1) which well describe nucleon-nucleon (NN) scattering at low energy, exhibit long-to-medium distance attractions, essential for the binding of atomic nuclei, as well as short distance repulsion (a repulsive core), important for the stability of nuclei against collapse. While the former properties have been explained by meson exchanges between nucleons, 2) the origin of the repulsive core 3) has not yet been well understood. Considerations of the fundamental degrees of freedom for nucleons, quarks and gluons, and their dynamics, QCD, are required to explain the properties between nucleons at such short distances.The recent observation of a neutron star as heavy as twice a solar mass 4) forces us to consider more general short distance repulsions among baryons, not only NN but also 3N, BB and 3B, where B represents an octet baryon which may include one or more strange quarks. This is because although the repulsive core of NN potentials is an important ingredient for the determination of the maximum mass of neutron stars, it alone seems insufficient to sustain the two-solar-mass neutron star. Moreover, an appearance of heavier strange quarks, converted from lighter up and down quarks via the weak interaction in such a high density environment, makes the equation of state softer in the core of the neutron star, so that the maximum mass of the neutron star is further reduced. It has already been pointed out that general BB potentials alone can not sustain the two-solar-mass neutron star. 5) It is also argued that the maximum mass of neutron stars can be increased if 3-body forces, typeset using PTPT E X.cls Ver.0.9

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supporting

confidence: 58%

Section: )mentioning

confidence: 96%

Toward an Understanding of Short Distance Repulsions among Baryons in QCD: NBS Wave Functions and Operator Product Expansion

Aoki

Balog

Weisz

2012

Progress of Theoretical Physics

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“…We have considered the following four problems: short-distance interaction between two nucleons, 18 between two octet baryons, 20 among three nucleons 21 and finally among three octet baryons. 22 In all these cases we mainly concentrated on the question of the existence of a repulsive (or attractive) core of the interaction potential.…”

Section: Resultsmentioning

confidence: 99%

“…17 Furthermore, in the HAL QCD scheme, the short distance behavior of two-and three baryon potentials can be investigated analytically via the operator product expansion combined with a renormalization group (RG) analysis of perturbative QCD. [18][19][20][21][22] In this paper, we review both analytical investigations and numerical results for short distance behaviors of these potentials in the HAL QCD method . In Sec.…”

Section: Introductionmentioning

confidence: 99%

Short Distance Repulsion Among Baryons

Aoki

Balog

Doi

et al. 2013

Int. J. Mod. Phys. E

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We review recent investigations on the short distance behaviors of potentials among baryons, which are formulated through the Nambu-Bethe-Salpeter (NBS) wave function. After explaining the method to define the potentials, we analyze the short distance behavior of the NBS wave functions and the corresponding potentials by combining the OPE (operator product expansion) and a renormalization group analysis in the perturbation theory of QCD. These analytic results are compared with numerical results obtained in lattice QCD simulations.

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“…Later the same method has been successfully applied also to other hadronic interactions: this included the baryon-baryon potential [5,6] and the study of 3-body nuclear forces [7]. Short distance behaviour of the NBS wave function and potential can be analytically studied, thanks to the asymptotic freedom property of QCD, by operator product expansion and renormalization group techniques [8,9,10,11,12].…”

Section: Introductionmentioning

confidence: 99%