Multiquark cluster form factors in the relativistic harmonic oscillator model

  • A QCD multiquark cluster system is studied in the relativistic harmonic oscillator potential model (RHOPM), and the electromagnetic form factors of the pion, proton and deuteron in the RHOPM are predicted. The calculated theoretical results are then compared with existing experimental data, finding very good agreement between the theoretical predictions and experimental data for these three target particles. We claim that this model can be applied to study QCD hadronic properties, particularly neutron properties, and to find six-quark cluster and/or nine-quark cluster probabilities in light nuclei such as helium 3He and tritium 3H. This is a problem of particular importance and interest in quark nuclear physics.
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  • [1] Stepanyan S. (Jefferson Lab). Pentaquark searches in high statistics experiments on deuterium with CLAS, Pentaquark 2005, October 20-22, 2005; YAO W M et al. J. Phys. G: Nucl. Phys., 2006, 33: 1; Auber B et al. Phys. Rev. D, 2007, 76: 092004[2] Detar C. Phys. Rev. D, 1979, 17: 323; 19: 1028; Jaffe R L, Low F E. Phys. Rev. D, 1979, 19: 2105[3] Matveev V, Sorba P. Nuovo Cimento A, 1978, 45: 257; Harvey M. Nucl. Phys. A, 1981, 352: 301, 326[4] Kisslinger L S. Phys. Lett. B, 1982, 112: 307; Kizukuri Y, Namiki M, Pkano K et al. Prog. Theor. Phys., 1980, 64: 1478[5] Brodsky S J, Lepage G P. Phys. Rev. D, 1980, 22: 2157; Brodsky S J. Phys. Rev. Lett., 1983, 51: 83; CAO Jun, WU Hui-Fang. arXiv:hep-ph/9608248v1, 7 Aug. 1996[6] Eichmann G. Prog. Part. Nucl. Phys., 2012, 67: 234; WU Hui-Fang, CAO Jun. Commun. Theor. Phys., 1998, 29: 437; CAO Jun, WU Hui-Fang. Phys. Rev. C, 1996, 54: 1006[7] Burov V V et al. Relativistic Nuclear Physics and Quantum Chromodynamics. Eds Baldin A M, Burov V V, Kaptari L P. Singapore: World Scientific, 1990 p 266[8] Takabayashi T. Phys. Rev. B, 1965, 139: 1381; Suppl. Prog. Theor. Phys., 1979, 67: 1[9] Honzawa N et al. Prog. Theor. Phys., 1985, 73: 1502[10] Arnold R G et al. Phys. Rev. Lett., 1986, 67: 174; Bosted P E et al. Phys. Rev. C, 1990, 42: 38[11] Bohek C J et al. Phys. Rev. D, 1978, 17: 1693[12] Lehman E. Phys. Lett. B, 1976, 62: 296; Matveev V A, Sorba F. Lett. Nuovo Cim., 1977, 20: 435; WONG C W, LIU K F. Phys. Rev. Lett., 1978, 41: 82[13] Garcon M, van Orden J W. arXiv:nucl-th/0102049; Abbott D et al. (Jefferson Lab. collaboration). Phys. Rev. Lett., 1999, 82: 1374; Abbott D. arXiv: nucl-ex/0002003v2, 25 feb, 2000; CHENG Tan-Sheng, ZHONG Yu-Shu, LU Lan-Chun. Commun. Theor. Phys., 1997, 28: 71
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WU Qing, ZHOU Li-Juan, XIANG Qian-Fei and MA Wei-Xing. Multiquark cluster form factors in the relativistic harmonic oscillator model[J]. Chinese Physics C, 2015, 39(1): 013102. doi: 10.1088/1674-1137/39/1/013102
WU Qing, ZHOU Li-Juan, XIANG Qian-Fei and MA Wei-Xing. Multiquark cluster form factors in the relativistic harmonic oscillator model[J]. Chinese Physics C, 2015, 39(1): 013102.  doi: 10.1088/1674-1137/39/1/013102 shu
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Received: 2014-03-27
Revised: 2014-08-10
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Multiquark cluster form factors in the relativistic harmonic oscillator model

Abstract: A QCD multiquark cluster system is studied in the relativistic harmonic oscillator potential model (RHOPM), and the electromagnetic form factors of the pion, proton and deuteron in the RHOPM are predicted. The calculated theoretical results are then compared with existing experimental data, finding very good agreement between the theoretical predictions and experimental data for these three target particles. We claim that this model can be applied to study QCD hadronic properties, particularly neutron properties, and to find six-quark cluster and/or nine-quark cluster probabilities in light nuclei such as helium 3He and tritium 3H. This is a problem of particular importance and interest in quark nuclear physics.

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