TWO-BODY DECAY OF THE PROTON

  • The proton and meson are regarded as bound state which are composed of quarks. The pionic two-body decay amplitude of the proton in the SU(5) grand unification gauge theory is computed by using field theory method[1]. This amplitude is contained an overlap integral of the space wave functions between the proton and pion, with the naive quark-parton idea, to the lowest approximation, this overlap integral is ∫d4u1ψπ*(0, u1P(u1, 0, 0). By using the wavefunction of ground state for the relativistic harmonicoscillator potential, we have computed the partial decay rate of the process p→π0e+. The result is (2.1×1029 years) and (4.4×1031 years) for mx=1014GeV and mx=1014GeV, respectively.
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  • [1] S. Macdlstam, Proc Roy. Soc., 233(1955), 248.[2] S. W. Hawking et al, Phys. Lett., 86B(1979), 175; Nucl. B170(1980), 283.[3] G. tHooft, Phys. Rev. Lett., 37(1976), 8; Phys. Rev., D14(1976), 3432.[4] H. Georgi and S. L. Glashow, Phys.Rev. Lett., 32(1974), 438.[5] A. J. B. Urasm, J. Ellis, M K. Gaillard, D. V. Nanopoulos, Nucl. Phys., B135(1978), 66; T. Goldman D. A. Ross, Nucl. Phys., B171(1980), 273; C. Jorlskong F. J. Yndurain, Nucl. Phys., B149(1979), 39; M. Maehacek, Nucl. Phys., B159(1979), 37; M. B. Gaveta et al., Phys. Lett. 98B(1981), 51: Phys. Rev, D23(1981), 1580.[6] A. Din, Giradi a.nd P. Sorba, Phys. Lett; 91B(1980), 17; J. F. Donoghue, Phys. Lett., 92B(1980), 99; E. Golawich, Phys. Rev., D22(1980), 1148.[7] Y. Tomozawa, Phys. Rev. Lett., 46(1981), 463: V. S. Berezinsky, B. L. Ioffe and Y. L Bogan, Phys. Lett., 105B(1981), 33.[8] 见[5]中第一篇文章.[9] J. Elks,M H. Gaillard, D. V. Nanopuloe S. Rndaz, Nucl. Phys. B176(1980), 61; C. H. Lle-wellyn Smith, G. G. Ross and J. Who, Nucl. Phys., B177(1980), 263;W. J. Mareiano and A. Sirlin, Phys. Rev. Lett., 46(1981), 163.[10] A. J. Burae, Rapparteur talk at the 1981 Bonn symposium on lepton ano photon interactions at High Energies. [11] 见[9]中第一篇.F. A. Wilczek and A. Zee, Phys. Rev. Lett., 43(1979), 1571; H. A. Weldon and A Zee, Nucl. Phys., B173(1980), 269; J. Ellis, M. A. Gaillard and D. V. Nanopoulos, Phys. Lett., 88B(1980), 320.[12] 朱洪元, 广州会议“层子模型的回顾”(1980).[13] R, P. Feynman, M. gidlinger and F. Ravndal, Phys. Rev.. D3(1971),2706; R.. Lipes, Phys. Rev., D5(19'72), 2849.[14] D. Lurie, Partacle and Field (Wilsy, New York, 1968), P. 433.[15] 见[7]中第一篇[16] T. Appelguist et al, Ann. Rev. Nucl. and Partisci, Vol 128(1978), 411.[17] M. L. Cherry et a1, Phys. Rev. Lett., 47(1981), 1507; M. R, Krishnaswasny et al., Phys. Lett., 106B(1981). 339.
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GOU Liang and HAO Chun. TWO-BODY DECAY OF THE PROTON[J]. Chinese Physics C, 1983, 7(4): 437-442.
GOU Liang and HAO Chun. TWO-BODY DECAY OF THE PROTON[J]. Chinese Physics C, 1983, 7(4): 437-442. shu
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Received: 1900-01-01
Revised: 1900-01-01
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TWO-BODY DECAY OF THE PROTON

    Corresponding author: GOU Liang,

Abstract: The proton and meson are regarded as bound state which are composed of quarks. The pionic two-body decay amplitude of the proton in the SU(5) grand unification gauge theory is computed by using field theory method[1]. This amplitude is contained an overlap integral of the space wave functions between the proton and pion, with the naive quark-parton idea, to the lowest approximation, this overlap integral is ∫d4u1ψπ*(0, u1P(u1, 0, 0). By using the wavefunction of ground state for the relativistic harmonicoscillator potential, we have computed the partial decay rate of the process p→π0e+. The result is (2.1×1029 years) and (4.4×1031 years) for mx=1014GeV and mx=1014GeV, respectively.

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