APPROXIMATE B.S. WAVE FUNCTIONS FOR AN ELECTROMAGNETIC BOUND SYSTEM OF SPINS (1/2, 1/2) OR (1/2, 1/2) WITH UNEQUAL MASSES

SONG Xiao-Tong; CHING Cheng-Rui; HO Tso-Hsiu

Chinese Physics C> 1984, Vol. 8> Issue(5) : 531-538

APPROXIMATE B.S. WAVE FUNCTIONS FOR AN ELECTROMAGNETIC BOUND SYSTEM OF SPINS (1/2, 1/2) OR (1/2, 1/2) WITH UNEQUAL MASSES

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Abstract：
The Bethe-Salpeter equation for an electromagnetic bound system of spins (1/2—1/2) or (1/2—1/2) with unequal masses are solved in this paper. The approximate B.S. wave functions for these systems are given. Utilising these wave functions, the decay rate and branching ratio for Ξ⁰→(Σ⁺μ^－)+v_μ are calculated with accuracy up to order O(α). The results are wΞ⁰→(Σ⁺μ^－)+v_μ1.12(1/sec) and R=[wΞ⁰→(Σ⁺μ^－)+v_μ]/[wΞ⁰→(Σ⁺μ^－)+v_μ]4.7×10^-7. Similarly, the process Λ→(pμ^－)+v_μ is also discussed.

References

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张肇西, 何炬, 何柞麻, 中国科学, 6 (1976), 572;[2] 何炬, 张肇西, 何柞麻, 高能物理与核物理, 3 (1979), 297,[3] Ching Cheng-rui, Ho Tsu-hsiu, Chang Chao-hsi, Phys.Lett., B98 (1981), 456[4] 何炬, 张肇西, 何柞麻, 高能物理与核物理, 3 (1979), 688,[5] Ho Tsu-hsiu, Chang Chao-hsi, Huang Tao, Acta Phys.Sin, 25(1976),215.[6] M. M. Nagels et al., Nucl. Phys., B147 (1979), 189.

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SONG Xiao-Tong, CHING Cheng-Rui and HO Tso-Hsiu. APPROXIMATE B.S. WAVE FUNCTIONS FOR AN ELECTROMAGNETIC BOUND SYSTEM OF SPINS (1/2, 1/2) OR (1/2, 1/2) WITH UNEQUAL MASSES[J]. Chinese Physics C, 1984, 8(5): 531-538.

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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

APPROXIMATE B.S. WAVE FUNCTIONS FOR AN ELECTROMAGNETIC BOUND SYSTEM OF SPINS (1/2, 1/2) OR (1/2, 1/2) WITH UNEQUAL MASSES

Corresponding author: SONG Xiao-Tong,

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1984-10-05

Abstract: The Bethe-Salpeter equation for an electromagnetic bound system of spins (1/2—1/2) or (1/2—1/2) with unequal masses are solved in this paper. The approximate B.S. wave functions for these systems are given. Utilising these wave functions, the decay rate and branching ratio for Ξ⁰→(Σ⁺μ^－)+v_μ are calculated with accuracy up to order O(α). The results are wΞ⁰→(Σ⁺μ^－)+v_μ1.12(1/sec) and R=[wΞ⁰→(Σ⁺μ^－)+v_μ]/[wΞ⁰→(Σ⁺μ^－)+v_μ]4.7×10^-7. Similarly, the process Λ→(pμ^－)+v_μ is also discussed.