On the Nucleon-Nucleon Interaction

Jastrow, Robert

doi:10.1103/physrev.81.165

Cited by 221 publications

(109 citation statements)

References 9 publications

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“…For example, symmetric NN belongs to 27, which therefore can be considered as the NN spin-singlet potential in the flavor SU(3) symmetric limit. Similarly V (10) , V (10) and V (8a) can be considered as some BB potentials of the particle basis in the SU(3) symmetric limit, while V (1) and V (8s) are always mixtures of different BB potentials in the particle basis. Fig.…”

Section: Flavor Su(3) Limitmentioning

confidence: 99%

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Hadron interactions from lattice QCD

Aoki

2008

Proceedings of the XXV International Symposium on Lattice Field Theory — PoS(LATTICE 2007)

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Progress on the potential method, recently proposed to investigate hadron interactions in lattice QCD, is reviewed. The strategy to extract the potential in lattice QCD is explained in detail. The method is applied to extract N N potentials, hyperon potentials and the meson-baryon potentials. A theoretical investigation is made to understand the origin of the repulsive core using the operator product expansion. Some recent extensions of the method are also discussed.

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Section: Flavor Su(3) Limitmentioning

confidence: 99%

“…(iii) The short range part (r < 1 fm) is best described by a strong repulsive core as originally introduced by Jastrow [10]. Such a short range repulsion is important for the stability of atomic nuclei against collapse, for determining the maximum mass of neutron stars, and for igniting the Type II supernova explosions [11,12,13].…”

Section: Introductionmentioning

confidence: 97%

Hadron interactions from lattice QCD

Aoki

2008

Proceedings of the XXV International Symposium on Lattice Field Theory — PoS(LATTICE 2007)

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“…(ii) The medium range part (1 fm < r < 2 fm) receives significant contributions from the exchange of two-pions (ππ) and heavy mesons (ρ, ω, and σ ). (iii) The short range part (r < 1 fm) is best described by a strong repulsive core as introduced by Jastrow [3]. (iv) A strong attractive spin-orbit force in the isospin 1 channel exists at medium and short distances.…”

Section: Introductionmentioning

confidence: 99%

Nuclear forces from lattice QCD

Hatsuda¹

2010

Proceedings of 6th International Workshop on Chiral Dynamics — PoS(CD09)

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A method to extract nucleon-nucleon (NN) potentials from the Bethe-Salpeter amplitude in lattice QCD is presented. It is applied to the two nucleons on the lattice with quenched QCD simulations. By disentangling the mixing between the S-state and the D-state, we obtain central and tensor potentials in the leading order of the velocity expansion of the non-local NN potential. The spatial structure, the quark mass dependence and the velocity dependence of the NN potential are analyzed. Preliminary result in (2+1)-flavor QCD simulations is also shown.

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“…The nuclear force was extensively studied by the Japanese nuclear force group [4][5][6][7] based on the three-stage theory of Taketani [4,5]. Jastrow proposed the existence of short range repulsion at short distances [8], which was supported by the negative 1 S 0 phase shift observed by 310 MeV proton-proton scattering [9]. As shown in Fig.…”

mentioning

confidence: 99%

“…As shown in Fig. 1, a tremendous number of studies [5,[8][9][10][11][12][13][14][15][16][17] show that the nuclear force has a repulsive core (hard or soft) at short distances in the innermost region III, and is attractive in the intermediate range region II and in the outermost one pion exchange potential (OPEP) region I. Phenomenological potential models proposed in the 1960s include the Hamada-Johnston (HJ) potential with a hard core [10], Reid soft core potential [11] and Tamagaki's Gaussian 3 range soft (G3RS) core potential [12]. The modern high-precision potentials fitting many N N data [17] include Argonne V18 [13], CD-Bonn [14], Reid93 [15] and ESC04 [16], in which a repulsive core is introduced phenomenologically.…”

mentioning

confidence: 99%

Luneburg-lens-like structural Pauli attractive core of the nuclear force at short distances

Ohkubo

2017

Phys. Rev. C

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The nuclear force has been understood to have a repulsive core at short distances, similar to a molecular force, since Jastrow proposed it in 1951. The existence of the repulsion was experimentally confirmed from the proton-proton scattering 1 S0 phase shift, which becomes negative beyond 230 MeV. This repulsion is essential for preventing the nucleon-nucleon system from collapsing by attraction. The origin of the repulsion has been considered to be due to the Pauli principle, similar to the repulsion originally revealed in α-α scattering, in many studies including recent lattice QCD calculations. On the other hand, very recently it was shown that an inter-nuclear potential including α-α interactions has a Luneburg-lens-like attraction at short distances rather than repulsion. We show that the nuclear force with an attractive potential at short distances that reproduces the experimental phase shifts well has a Luneburg-lens-like structural Pauli attractive core (SPAC) at short distances and acts as apparent repulsion. The apparent repulsion is caused by the deeply embedded unobservable Pauli forbidden state similar to nucleus-nucleus potentials. In this paper it is shown the nuclear force with an attractive potential at short distances that reproduces the experimental phase shifts well, has a Luneburglens-like structural Pauli attractive core similar to the nucleus-nucleus potential and acts as apparent repulsion. This study was inspired by the recent discovery of the Luneburg-lens-like structural Pauli attraction in nucleusnucleus potentials [1].The nuclear force is essential for the existence of nuclei [2]. It binds nucleons, which allows the stable existence of atoms and matter, therefore life. The origin of the nuclear force was theoretically revealed by Yukawa [3]. The nuclear force was extensively studied by the Japanese nuclear force group [4][5][6][7] based on the three-stage theory of Taketani [4,5]. Jastrow proposed the existence of short range repulsion at short distances [8], which was supported by the negative 1 S 0 phase shift observed by 310 MeV proton-proton scattering [9]. As shown in Fig. 1, a tremendous number of studies [5,[8][9][10][11][12][13][14][15][16][17] show that the nuclear force has a repulsive core (hard or soft) at short distances in the innermost region III, and is attractive in the intermediate range region II and in the outermost one pion exchange potential (OPEP) region I. Phenomenological potential models proposed in the 1960s include the Hamada-Johnston (HJ) potential with a hard core [10], Reid soft core potential [11] and Tamagaki's Gaussian 3 range soft (G3RS) core potential [12]. The modern high-precision potentials fitting many N N data [17] [16], in which a repulsive core is introduced phenomenologically. The origin of the repulsive core has remained a challenging subject. It has been ascribed to heavy meson exchanges [18] and the Pauli principle due to the substructure of the nucleon [19][20][21][22].After QCD was established, new light was shed on the origin of th...

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On the Nucleon-Nucleon Interaction

Cited by 221 publications

References 9 publications

Hadron interactions from lattice QCD

Hadron interactions from lattice QCD

Nuclear forces from lattice QCD

Luneburg-lens-like structural Pauli attractive core of the nuclear force at short distances

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