轨道角动量作为椭圆小-x胶子层析的横向探针
Orbital Angular Momentum as a Transverse Probe of Elliptic Small-$x$ Gluon Tomography
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中文总结 AI 辅助
该研究提出用携带轨道角动量的局域轻子波包作为可调横向探针，在硬衍射双喷注深度非弹性散射中探测椭圆小-x胶子几何，揭示了响应节点的起源及可控性，为小-x胶子层析提供新自由度。
中文摘要 AI 辅助
我们提出了一种在硬衍射双喷注深度非弹性散射中探测椭圆小-x胶子几何的新方法：携带轨道角动量（OAM）的局域轻子波包被用作靶的可调横向分析仪。与常规平面波装置中探针提供固定横向投影不同，OAM模式在不改变靶偶极矩阵元的情况下提供了额外的径向和方位结构。我们通过$S_M=D_M-C_M$表征由此产生的椭圆响应，发现有限产额的响应节点，其起源取决于OAM通道。在当前基准中，$M=1$的交叉主要与直接响应的零点相关，而$M=3$通道则表现出非平凡抵消$D_3=C_3\neq0$。带符号的横向响应密度表明，该节点源于空间抵消而非 underlying 散射强度的消失，且其位置可通过改变束流-靶偏移来移动。$M$的特定敏感值取决于分析仪轮廓和运动学；更广泛的结果是，局域OAM波包为小-x胶子层析提供了可控的探针侧自由度。
英文摘要
We propose a new way to probe elliptic small-$x$ gluon geometry in hard diffractive dijet deep inelastic scattering: a localized lepton wave packet carrying orbital angular momentum is used as a tunable transverse analyzer of the target. Unlike the conventional plane-wave setup, where the probe provides a fixed transverse projection, the OAM mode supplies additional radial and azimuthal structure while leaving the target dipole matrix element unchanged. We characterize the resulting elliptic response through $S_M=D_M-C_M$ and find finite-yield response nodes whose origin depends on the OAM channel. In the present benchmark, the $M=1$ crossing is associated mainly with a zero of the direct response, whereas the $M=3$ channel exhibits a nontrivial cancellation $D_3=C_3\neq0$. Signed transverse response densities show that this node results from a spatial cancellation rather than from a disappearance of the underlying scattering strength, and its position can be shifted by changing the beam--target offset. The specific sensitive value of $M$ depends on the analyzer profile and kinematics; the broader result is that localized OAM wave packets provide a controllable probe-side degree of freedom for small-$x$ gluon tomography.
