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arXiv 1302.6490nucl-thnucl-ex
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带有两个弱束缚中子的核在质子靶上的分裂:单次散射近似

Breakup of a nucleus with two weakly bound neutrons on a proton target: Single-scattering approximation

A. Deltuva

摘要:

用三体核-中子-中子模型研究了${}^{16}$ C与质子散射中的三团簇和四团簇分裂反应。用四粒子跃迁算符方程的单散射近似(SSA)计算了质子-中子($pn$)准自由散射(QFS)条件下200和300 MeV/核子能量下的三、四团簇分裂振幅.微分截面在$pn$ QFS点处有一个尖锐的峰值,当运动学条件偏离$pn$ QFS时,微分截面迅速减小。从三体模型估计的准确性的SSA为三个集群分裂,被发现是高达6\%,在较高的反应能在适当的角度制度。此外,在一个额外的近似下,三个集群破碎振幅分解成$pn$过渡算子和重叠积分的两个和三个粒子的束缚态。这种近似通常会减小截面,在某些情况下甚至会减小10%。

英文摘要:

Three- and four-cluster breakup reactions in the ${}^{16}$C-proton scattering are studied using three-body core-neutron-neutron model for ${}^{16}$C. Single-scattering approximation (SSA) of four-particle equations for transition operators is used to calculate three- and four-cluster breakup amplitudes at 200 and 300 MeV/nucleon energy near proton-neutron ($pn$) quasi free scattering (QFS) conditions. The differential cross section is sharply peaked at $pn$ QFS point and decreases rapidly whenever kinematical conditions deviate from $pn$ QFS. The accuracy of the SSA for the three-cluster breakup is estimated from a three-body model and is found to be as good as 6\% at higher reaction energies in suitable angular regimes. Furthermore, under an additional approximation the three-cluster breakup amplitude factorizes into the $pn$ transition operator and the overlap integral of two- and three-particle bound states. That approximation usually reduces the cross section, in some cases even up to 10\%.

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