THE ONE PION EXCHANGE POTENTIAL AT FINITE TEMPERATURE

CHEN Tao; SU Ru-Keng

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《中国物理C》（英文）编辑部

2024年10月30日

Chinese Physics C> 1988, Vol. 12> Issue(1) : 140-144

THE ONE PION EXCHANGE POTENTIAL AT FINITE TEMPERATURE

CHEN Tao ^, ,
SU Ru-Keng

Fudan University,Shanghai

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Abstract：
By means of the imaginary time Greer's function method,we extend the One Pion Exchange Potential (OPEP) of nucleon-nucleon interaction to finite temperature.We sum up all the bubble diagrams and find that the temperature effect to OPEP is small at low temperature region but large at high temperature region.The effective mass of pion field M_π(β) will become imaginary at critical temperature T_c=177MeV.It means that the attractive OPEP will disappear at T_c and the phase transition happens.

References

[1]

R.K. Su, S. D. yang, T. T. S. Kuo, Phys. Rev.C35(1987); R K. Su, 5. D. Yang, G. L Li. T. T. S.Kuol Mod. Phys. Lett., Al(1986), 71.[2] H.Jaqama, A. Z. Mtjian , L. Zamink, Phys. Rev, C21(1981), 2782.[3] A. Lejeune, P. Grange, M. Martzolff, J. Cugnon, Nucl. Phys., A453(1986), 189.[4] J. Kapusta, A. Mekjian, Phys. Rev., D33(1986), 1304.[5] L. D. McLerran, T. Toimela, Phys. Rev., D31(1985), 545.[6] G. E. Brown, A. D. jackson, "The nucleon-nucleon interaction" (North-Holland, 1976). S. 0. Backman, G. E. Brown, J. A. Niskanen, Phys. Rcports., 124(1985), 1.[7] R. K. Su, E. M. Henley, Nucl. Phys., A452(1986), 633.郑挺方、毕品镇、苏汝铿, 高能物理与核物理,10(1986), 47.[8] C. W. Wang, K. F. Liu, Nucleon-nucleon interaction, "Topics in nuclear physics, l", ed. T. T. S. Kuo, S.S. M. Wong (Springer, N. Y., 1981).[9] R. J. Blin-stoyle, "Mesons in nuclei", vol. 1, pp. 5, ed. M. Rho and D. Wilkinson (North-Holland, 1979).[10] P. Ramond, "Field Theory" (Benjamin, 1981).[11] A. L. Fetter, J. D. Walecka, "Ouantum theory of many particles systems" (McGraw-Hill, 1971).[12] 例如参见:毕品镇、郑挺方、苏汝铿, 科学通报, 31(1986),341.

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CHEN Tao and SU Ru-Keng. THE ONE PION EXCHANGE POTENTIAL AT FINITE TEMPERATURE[J]. Chinese Physics C, 1988, 12(1): 140-144.

CHEN Tao and SU Ru-Keng. THE ONE PION EXCHANGE POTENTIAL AT FINITE TEMPERATURE[J]. Chinese Physics C, 1988, 12(1): 140-144. shu

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Received: 1900-01-01
Revised: 1900-01-01

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沈阳化工大学材料科学与工程学院沈阳 110142

THE ONE PION EXCHANGE POTENTIAL AT FINITE TEMPERATURE

CHEN Tao ^,
SU Ru-Keng

Corresponding author: CHEN Tao,

Fudan University,Shanghai

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1988-02-05

Abstract: By means of the imaginary time Greer's function method,we extend the One Pion Exchange Potential (OPEP) of nucleon-nucleon interaction to finite temperature.We sum up all the bubble diagrams and find that the temperature effect to OPEP is small at low temperature region but large at high temperature region.The effective mass of pion field M_π(β) will become imaginary at critical temperature T_c=177MeV.It means that the attractive OPEP will disappear at T_c and the phase transition happens.