Representation of the Second Virial Coefficient by the Regge Pole

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概要

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• In previous work an attempt was made to represent the second virial coefficient by parameters of Regge poles. A consistent treatment of this problem is given here again. The main improvements are as follows:First, we start with a modified form of the Beth-Uhlenbeck formula, where the effect of the zero energy resonances is correctly treated. Second, the cut in the complex l-plane for the function in S(l,k) is chosen so as to be consistent with requirement of analyticity and the Levinson theorem. Third, a formula for low-temperature gases is given in a simpler and more convenient form than the previous one. Thus we can attain to a satisfactory theory in which bound states and resonances including the zero energy ones are equally treated. Further, a method leading to the corrected Beth-Uhlenbeck formula is given in the Appendix and it shows also a general method, from which a cluster integral can be represented in terms of the Jost function, and so, which is useful in application to other problems.

• 理論物理学刊行会の論文
• 1971-11-25

著者

• YAMAZAKI Miwae

  Physics Department, Tokyo University of Education

• Yamazaki Miwae

  Physics Department Saitama University

• MISHIMA Nobuhiko

  Physics Department, Tokyo Gakugei University

• SUZUKI Akira

  Physics Department, Science University of Tokyo

• Mishima Nobuhiko

  Physics Department Tokyo Gakugei University

• Mishima Nobuhiko

  Physics Department Aoyama Gakuin University

• Suzuki Akira

  Physics Department Science University Of Tokyo

関連論文

• Pion-Nucleon Scattering in the Tamm-Dancoff Approximation
• Representation of the Second Virial Coefficient by the Regge Pole
• An Application of the Fredholm Theory to the Second Virial Coefficient

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