TWO-BODY DECAY OF THE PROTON

GOU Liang; HAO Chun

Chinese Physics C> 1983, Vol. 7> Issue(4) : 437-442

TWO-BODY DECAY OF THE PROTON

GOU Liang ^, ,
HAO Chun

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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 ∫d⁴u₁ψ^π*(0, u₁)ψ^P(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 m_x=10¹⁴GeV and m_x=10¹⁴GeV, respectively.

References

[1]

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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
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通讯作者: 陈斌, bchen63@163.com

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沈阳化工大学材料科学与工程学院沈阳 110142

TWO-BODY DECAY OF THE PROTON

Corresponding author: GOU Liang,

Received Date: 1900-01-01

Accepted Date: 1900-01-01

Available Online: 1983-08-05

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 ∫d⁴u₁ψ^π*(0, u₁)ψ^P(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 m_x=10¹⁴GeV and m_x=10¹⁴GeV, respectively.

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