Browsing by Autor "DAI YUAN-BEN"

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A REPRESENTATION OF THE S MATRIX ELEMENT FOR A HIGHLY SINGULAR POTENTIAL
(Science Press, 1965) DAI YUAN-BEN
摘要本文对满足文献[1]的条件的高度奇异位势证明了S矩阵元可以表为 Abstract It is proved that for the highly singular potential satisfying the conditions expressed in a previous paper [1] the S matrix element S (λ, k) has the representation. 作者及机构信息戴元本 1. 中国科学院 Authors and contacts DAI YUAN-BEN 1. 中国科学院参考文献 [1] 施引文献
REGGE BEHAVIOUR FOR THE SCATTERING UNDER A POTENTIAL WITH A SINGULARITY AT ORIGIN HIGHER THAN z~(-2)
(Science Press, 1964) DAI YUAN-BEN
摘要当位势V(z)在原点有高于二阶的极点时(在右半平面V(z)解析,当z→∞时z2V→0),证明了(1)S矩阵元为λ(λ=ι+1/2,ι是角动量)的半纯函数;(2)当λ在右半平面|argλ|<π/2内趋于无穷大时,|S-1|≤C((log|λ|)/|λ|)。 Abstract Assuming that: (l), the potential V(z)→z-n(n>2) as z→0; (2), V is regular in Re z>0; (3), V(z)z2→0 as z→∞ in |arg z|<π/2, the following assertions are proved: (l), the scattering matrix element S is meromorphic in the whole λ plane (λ=l+1/2,l—angular momentum);(2)S-1→O((log|λ|)/|λ|) as λ→∞ in |arg λ|<π/2. 作者及机构信息戴元本 1. 中国科学院 Authors and contacts DAI YUAN-BEN 1. 中国科学院参考文献 [1] 施引文献
REGGE POLES FOR z-4 REPULSIVE POTENTIAL
(Science Press, 1965) DAI YUAN-BEN
摘要对z-4排斥位势证明了:(1)当|λ|→∞,|argλ|<π/2-ε时,S矩阵元S(λ,k)→1。(2)当|λ|→∞时,有无穷多个极点存在于虚轴的小角邻域内,并且这些极点的实部和虚部同时趋于∞,因此通常的双色散关系不成立。 Abstract It is proved that the S matrix element S(λ, k) for the z-4 repulsive potential → 1 as |λ|→∞ in the sector 0 ≤| argλ | <π/2-ε and that it has infinitely many Reggepoles in a small angle neighbourhood of the imaginary axis with their real and imaginary parts approaching ∞ simultaneously. Ordinary double dispersion relation does not hold in this case. 作者及机构信息戴元本 1. 中国科学院 Authors and contacts DAI YUAN-BEN 1. 中国科学院参考文献 [1] 施引文献
THE PROBABILITY OF π-→π0+ e+ν DECAY IN THE CASE OF NON-CONSERVED WEAK CURRENT
(Science Press, 1961) DAI YUAN-BEN
摘要利用色散关系研究了弱电流不守恒情况下的π-→π0+e+ν衰变过程。在对π—π散射相移作了一些假定后,证明了π、π中间态的贡献很小。在N、N中间态项中出现的N、N湮灭矩阵元用Chew-Ball理论及湮灭实验估计,同时出现的核子弱作用形状因子又用色散关系计算,证明了N、N中间态对它的贡献很小,计算了π、π中间态对它的贡献。根据现有N、N湮灭实验估计,π-→π0+e+ν过程的衰变几率-4秒-1。 Abstract The probability of π-→π0+e+ν decay in the case of non-conserved weak current is calculated with dispersion relation. After making certain assumptions about the π-π scattering phase shift, it is shown that the contribution of the π-π 作者及机构信息戴元本 1. 中国科学院 Authors and contacts DAI YUAN-BEN 1. 中国科学院参考文献 [1] 施引文献
THE RADIATIVE DECAY OF AN ω PARTICLE
(Science Press, 1964) DAI YUAN-BEN
摘要本文由质量的解析延拓得到ω→π+r过程的色散关系,讨论了某些有关不稳定粒子色散关系的问题。在一些简化假设下得到Wω→π+r/Wω→3π≈0.35。在η粒子与ω粒子量子数相同的情形下得到Wη→π+r/Wη→3π≈25,在计算中包含了三个π介子成对作用的效应。 Abstract A dispertion relation for the process ω→π+γ is obtained by the analytical continuation in the ω mass. Some problems concerning dispertion relations involving unstable particles arc discussed. Under simplified assumptions we obtain Wω→π+r/Wω→3π≈0.35 and Wη→π+r/Wη→3π≈25, if η has the same quantum numbers as ω. The effect of the interaction in pairs between three pions is included in the calculation. 作者及机构信息戴元本 1. 中国科学院 Authors and contacts DAI YUAN-BEN 1. 中国科学院参考文献 [1] 施引文献
THE REGGE BEHAVIOUR FOR A CLASS OF NONLOCAL POTENTIALS
(Science Press, 1965) DAI YUAN-BEN
摘要对一类非定域位势证明了S矩阵元S(λ,k)作为角动量变数λ的函数在Reλ>0半纯,且当λ沿正实轴或负虚轴趋于∞时(S(λ,k)-1)exp(-iπλ)→0。在稍严一些的假设下证明了S(λ,k)在带域|Imk|<μ内对动量变数k半纯。讨论了极点的位置,这类位势在右半平面的Regge极点不一定在第一象限内。 Abstract It is proved that for a class of nonlocal potentials, the S matrix element S(λ,k) as a function of the angular momentum λ is meromorphic in λ in the region Re λ > 0. It is proved further that as λ→∞ along the positive real axis or the negative imaginary axis, [S(λ, k)-1] exp(-iπλ)→0. Under more restrictive assumptions, it is shown that S(λ, k) is meromorphic with respect to the momentum variable k in the strip |Im k| < μ. The positions of the poles are discussed. For such potentials, the Regge poles in the right half plane do not lie necessarily in the first quadrant. 作者及机构信息戴元本 1. 中国科学院 Authors and contacts DAI YUAN-BEN 1. 中国科学院参考文献 [1] 施引文献