pp final state interaction in J=/ψ→γpp

ZENG Zhuo-Quan; GUO Xin-Heng; SHEN Peng-Nian; DING Yi-Bing

doi:10.1088/1674-1137/36/5/004

Chinese Physics C> 2012, Vol. 36> Issue(5) : 399-402 DOI: 10.1088/1674-1137/36/5/004

pp final state interaction in J=/ψ→γpp

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Abstract：
The phenomenon of the near pp-threshold enhancement observed in the J=/ψ→γpp decay is studied by using the enhancement factor method with a simpler one-pion-exchange potential between p and p. The Jost function caused by the mentioned potential is perturbatively calculated in the zero-th order approximation, and the corresponding enhancement factor is obtained. It is found that such a final state interaction offers an important contribution to the decay width near the pp-threshold, although it is not large enough. To explain the decay data, a phenomenological factor G(p) with the form of 285500=(m_π²+p²) should be introduced. A further calculation including the p-dependent bare T-matrix, a more realistic NN potential and the contribution from the higher-order wave functions would provide a better understanding of the decay data and even the existence of the baryonium pp. The near pp-threshold behavior of the decay width in the J=/ψ→π⁰pp process is also discussed.

References

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BAI J Z et al.(BES collaboration). Phys. Rev. Lett, 2003,91: 0220012 Ablikim M et al. (BES0 collaboration). Chin. Phys. C (HEP NP), 2010, 34: 4213 Abe K et al. (Belle collaboration). Phys. Rev. Lett, 2002,88: 1818034 Abe K et al. (Belle collaboration). Phys. Rev. Lett, 2002,89: 1518025 Datta A, J O'Donnell P. Phys. Lett. B, 2003, 567: 2736 Loiseau B, Wycech S. Phys. Rev. C, 2005, 72: 0110017 Kerbikov B, Stavinsky A, Fedotov V. Phys. Rev. C, 2004,69: 0552058 Bugg D V. Phys. Lett. B, 2004, 598: 89 ZOU B S, Chiang H C. Phys. Rev. D, 2004, 69: 03400410 Sibirtsev A, Haidenbauer J, Krewald S et al. Phys. Rev. D,2005, 71: 05401011 Haidenbauer J, Meiβner Ulf-G, Sibirtsev A. Phys. Rev. D,2006, 74: 01750112 Taylor J R. Scattering Theory: The Quantum Theory on Nonrelativistic Collisions. John Wiley and Sons, Inc.13 Watson K M. Phys. Rev, 1952, 88: 116314 Migdal A B. Sov. Phys. JETP, 1955, 1: 2

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ZENG Zhuo-Quan, GUO Xin-Heng, SHEN Peng-Nian and DING Yi-Bing. pp final state interaction in J=/ψ→γpp[J]. Chinese Physics C, 2012, 36(5): 399-402. doi: 10.1088/1674-1137/36/5/004

ZENG Zhuo-Quan, GUO Xin-Heng, SHEN Peng-Nian and DING Yi-Bing. pp final state interaction in J=/ψ→γpp[J]. Chinese Physics C, 2012, 36(5): 399-402. doi: 10.1088/1674-1137/36/5/004 shu

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Received: 2011-09-09
Revised: 2011-10-31

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沈阳化工大学材料科学与工程学院沈阳 110142

pp final state interaction in J=/ψ→γpp

Received Date: 2011-09-09
Accepted Date: 2011-10-31
Available Online: 2012-05-05

Abstract: The phenomenon of the near pp-threshold enhancement observed in the J=/ψ→γpp decay is studied by using the enhancement factor method with a simpler one-pion-exchange potential between p and p. The Jost function caused by the mentioned potential is perturbatively calculated in the zero-th order approximation, and the corresponding enhancement factor is obtained. It is found that such a final state interaction offers an important contribution to the decay width near the pp-threshold, although it is not large enough. To explain the decay data, a phenomenological factor G(p) with the form of 285500=(m_π²+p²) should be introduced. A further calculation including the p-dependent bare T-matrix, a more realistic NN potential and the contribution from the higher-order wave functions would provide a better understanding of the decay data and even the existence of the baryonium pp. The near pp-threshold behavior of the decay width in the J=/ψ→π⁰pp process is also discussed.