RELATIVISTIC SEMICLASSICAL THEORY OF CONDENSATION (Ⅰ)

ZHANG QI-REN

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2024年10月30日

Chinese Physics C> 1981, Vol. 5> Issue(1) : 15-28

RELATIVISTIC SEMICLASSICAL THEORY OF CONDENSATION (Ⅰ)

ZHANG QI-REN

Peking University

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Abstract：
Exact relations between the energy of a symmetric nuclear matter loaded in a classical π field and the value φ and wave number k of this π field were obtained for pseudoscalar coupling and pseudovector coupling. Results show that there is no π condensation under pseudoscalar coupling. If pseudovector coupling (which is not renormalizable) were permitted, π condensation emerges as a result of π nucleon P wave interaction, and the chiral symmetry is not necessary. π nucleon interaction itself leads to saturation of the condensed π field. Nonlinear selfinteractions of π field, such as φ⁴ term and so on, are not necessary. The influence of nucleonic repulsive core were considered under Yan der Waals approximation. It leads to upper and lower limits on wave numbers of the condensed π fields. If the radius of the repulsive core were larger than a critical value, π condesation becomes impossible again.

References

[1]

А. Б. Мигдал, ЖЗТФ, 61 (1971), 2209.[2] D. P. Sawyer, Phys. rev. Lett., 29(1972), 382.[3] D. J. Sealapino, Phys. Rev. Lett., 29(19721，3R6.[4] G. E. Brown and W. Weise, Phys. RePot., 27C(1976), 1.[5] A. B. Migdal, Rev. Mod. Phys., 50(1978), 107.[6] D. K. Campbel, R.. F. Da.shen and J. T. Manassah, Phys. Rev., D12(1975), 979.[7] И. В. Криве и Е, М. Чудновский, ЖЗТФ,74(1978), 421.[8] A. Bohr and B. R. Mottelson, Nuclear 8trncture (Benjamin, New York, 1969), 256.[9] P. A. M. Dv}ac. The PrLnciples of Quantum,Mechanica 4th edition (1958).[10] W. P:},uli, Handbuch Der Physik XXIV/1(1933), 83.

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ZHANG QI-REN. RELATIVISTIC SEMICLASSICAL THEORY OF CONDENSATION (Ⅰ)[J]. Chinese Physics C, 1981, 5(1): 15-28.

ZHANG QI-REN. RELATIVISTIC SEMICLASSICAL THEORY OF CONDENSATION (Ⅰ)[J]. Chinese Physics C, 1981, 5(1): 15-28. shu

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Received: 1979-07-17
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

RELATIVISTIC SEMICLASSICAL THEORY OF CONDENSATION (Ⅰ)

ZHANG QI-REN

Peking University

Received Date: 1979-07-17
Accepted Date: 1900-01-01
Available Online: 1981-05-05

Abstract: Exact relations between the energy of a symmetric nuclear matter loaded in a classical π field and the value φ and wave number k of this π field were obtained for pseudoscalar coupling and pseudovector coupling. Results show that there is no π condensation under pseudoscalar coupling. If pseudovector coupling (which is not renormalizable) were permitted, π condensation emerges as a result of π nucleon P wave interaction, and the chiral symmetry is not necessary. π nucleon interaction itself leads to saturation of the condensed π field. Nonlinear selfinteractions of π field, such as φ⁴ term and so on, are not necessary. The influence of nucleonic repulsive core were considered under Yan der Waals approximation. It leads to upper and lower limits on wave numbers of the condensed π fields. If the radius of the repulsive core were larger than a critical value, π condesation becomes impossible again.