寻找最轻核排他反应的标度起始
Search for scaling onset in exclusive reactions with the lightest nuclei
摘要:
二元反应$dσ/d t\sim s^{-(n-2)}$的微分截面的维度标度,其中$n$由组分夸克计数规则给出,在$t/s=const$(这里$s$和$t$是曼德尔变量,$m_i$表示强子质量)处,对于渐近高能量的$\sqrt{s}\gg m_i$和转移动量的$-t\gg m_i^2$进行了预测,但在大的固定厘米角$θ_{cm}\sim 90^\circ$处,它在几个GeV的令人惊讶的中等能量处表现出来。这种行为不仅在与自由强子的反应中观察到,而且在与氘核和$^3He$的电磁相互作用和纯强子相互作用中也观察到。人们可能会认为,观察到的缩放指出,有效恢复近共形,并可能在这些过程中的手征对称性。对氘、$^3H$、$^3He$和$^4He$核反应的标度行为的系统实验研究仍然缺乏。我们考虑在JINR核加速器的$dd$碰撞中进行这项研究的可能性。
英文摘要:
The dimensional scaling of the differential cross sections of binary reactions $dσ/d t\sim s^{-(n-2)}$, where $n$ is given by constituent quark counting rules, was predicted for asymptotically high energies $\sqrt{s}\gg m_i$ and transferred momenta $-t\gg m_i^2$ at $t/s=const$ (here $s$ and $t$ are the Mandelstam variables and $m_i$ denotes a hadron mass), but manifested itself at surprisingly moderate energies of few GeV at large fixed cms angles $θ_{cm}\sim 90^\circ$. This behaviour is observed not only in reactions with free hadrons, but with the deuteron and $^3He$ too both for electromagnetic and pure hadronic interactions. One may suppose that observed scaling points out to effective restoration of near-conformal and, probably, chiral symmetry in these processes. A systematical experimental study of the scaling behaviour of the reactions with the deuteron, $^3H$, $^3He$, and $^4He$ nuclei is still absent. We consider a possibility to carry out this study in $dd$ collisions at the JINR Nuclotron.
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