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Prog. Theor. Phys. Vol. 123 No. 1 (2010) pp. 89-128

[ Full Text PDF : OPEN SELECT (753K) ]

Theoretical Foundation of the Nuclear Force in QCD and Its Applications to Central and Tensor Forces in Quenched Lattice QCD Simulations

Sinya Aoki,1 Tetsuo Hatsuda2 and Noriyoshi Ishii2

1Graduate School of Pure and Applied Sciences, University of Tsukuba, Tsukuba 305-8571, Japan
2Department of Physics, University of Tokyo, Tokyo 113-0033, Japan

(Received October 5, 2009)

Abstract:

We present full accounts of a method to extract nucleon-nucleon (NN) potentials from the Bethe-Salpter amplitude in lattice QCD. The method is applied to 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 and the quark mass dependence of the potentials are analyzed in detail.

Subject Index : 164, 232, 234
URL : http://ptp.ipap.jp/link?PTP/123/89/
DOI : 10.1143/PTP.123.89

[ Full Text PDF : OPEN SELECT (753K) ] Citation:

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  3. Progress of Theoretical Physics Vol. 127 No. 4 (2012) pp. 723-738 :
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  4. Progress of Theoretical Physics Vol. 128 No. 5 (2012) pp. 941-954 :
    Quark-Anti-Quark Potentials from Nambu-Bethe-Salpeter Amplitudes on Lattice
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  5. Progress of Theoretical Physics Vol. 128 No. 6 (2012) pp. 1269-1282 :
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  6. Progress of Theoretical Physics Supplement No. 186 (2010) pp. 228-233 :
    KN Potential and Θ+ in Lattice QCD
    Yoichi Ikeda (for HAL QCD Collaboration)

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