The probability of 5He particle emission has been affirmed theoretically [J.S. Zhang, Science in China G47 (2004) 137]. In order to describe the 5He emission, the theoretical formula of the double-differential cross s...The probability of 5He particle emission has been affirmed theoretically [J.S. Zhang, Science in China G47 (2004) 137]. In order to describe the 5He emission, the theoretical formula of the double-differential cross section of emitted 5He is to be established. Based on the pick-up mechanism, used for calculating the formula of d, t, 3He, α emissions, the theoretical formula of double-differential cross section of 5 He is obtained, which is expressed in the form of Legendre coefficients. In the case of low incident energies, the configuration [J.S. Zhang, Science in China G47 (2004)137; J.S. Zhang, Commun. Theor. Phys. (Beijing, China) 39 (2003) 83] is the dominant part in the reaction processes.The calculated result indicates that the forward peaked angular distribution of the composite particle emission is weaker than that of the emitted single nucleon due to pick-up nucleon from the Fermi sea. As an example, the reactions of n + 14N have been calculated, and the Legendre coefficients of d, t, 3He, α, 5He emissions are obtained respectively.The results show that the forward tendency is decided by the average momentum per nucleon in the emitted composite particles. The larger the average momentum is, the stronger the forward tendency is.展开更多
本文讨论在金融中有重要应用价值的,由Lévy过程驱动的倒向双重随机微分方程: Y_t=ξ+∫_t^T f(s,Y_(s-),U_s,Z_s)ds+∫_t^T g(s,Y_(s-),U_s,Z_s)dB_s -∫_t^TU_sdW_s-sum for i=1 to ∞ Z_s^(i)dH_s^(i)在系数g满足Lipschitz条件,...本文讨论在金融中有重要应用价值的,由Lévy过程驱动的倒向双重随机微分方程: Y_t=ξ+∫_t^T f(s,Y_(s-),U_s,Z_s)ds+∫_t^T g(s,Y_(s-),U_s,Z_s)dB_s -∫_t^TU_sdW_s-sum for i=1 to ∞ Z_s^(i)dH_s^(i)在系数g满足Lipschitz条件,f满足推广的Bihari条件:|f(t,y_1,u_1,z_1)-f(t,y_2,u_2,z_2)|~2≤c(t)k(|y_1-y_2|~2)+K(|u_1-u_2|~2+||z_1-z_2||~2)时,利用推广It公式、Picard迭代法和区间延拓过程,证明了上述方程F_t适应解的存在唯一性,推广了其它文献以前的结论.展开更多
文摘The probability of 5He particle emission has been affirmed theoretically [J.S. Zhang, Science in China G47 (2004) 137]. In order to describe the 5He emission, the theoretical formula of the double-differential cross section of emitted 5He is to be established. Based on the pick-up mechanism, used for calculating the formula of d, t, 3He, α emissions, the theoretical formula of double-differential cross section of 5 He is obtained, which is expressed in the form of Legendre coefficients. In the case of low incident energies, the configuration [J.S. Zhang, Science in China G47 (2004)137; J.S. Zhang, Commun. Theor. Phys. (Beijing, China) 39 (2003) 83] is the dominant part in the reaction processes.The calculated result indicates that the forward peaked angular distribution of the composite particle emission is weaker than that of the emitted single nucleon due to pick-up nucleon from the Fermi sea. As an example, the reactions of n + 14N have been calculated, and the Legendre coefficients of d, t, 3He, α, 5He emissions are obtained respectively.The results show that the forward tendency is decided by the average momentum per nucleon in the emitted composite particles. The larger the average momentum is, the stronger the forward tendency is.
文摘本文讨论在金融中有重要应用价值的,由Lévy过程驱动的倒向双重随机微分方程: Y_t=ξ+∫_t^T f(s,Y_(s-),U_s,Z_s)ds+∫_t^T g(s,Y_(s-),U_s,Z_s)dB_s -∫_t^TU_sdW_s-sum for i=1 to ∞ Z_s^(i)dH_s^(i)在系数g满足Lipschitz条件,f满足推广的Bihari条件:|f(t,y_1,u_1,z_1)-f(t,y_2,u_2,z_2)|~2≤c(t)k(|y_1-y_2|~2)+K(|u_1-u_2|~2+||z_1-z_2||~2)时,利用推广It公式、Picard迭代法和区间延拓过程,证明了上述方程F_t适应解的存在唯一性,推广了其它文献以前的结论.
