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Understanding Two Slopes in the pp ( $$p\bar {p}$$ ) Differential Cross Sections
JETP Letters ( IF 1.4 ) Pub Date : 2021-04-26 , DOI: 10.1134/s0021364021090046
Yu. A. Simonov

Recent experiments have discovered two exponents in the pp elastic differential cross sections with two different slope parameters, of the order (16–20) GeV–2 and (4–4.8) GeV–2 in the regions –t \( \lesssim \) 0.5 GeV2 and ‒τ \( \gtrsim \) 1 GeV2, respectively. We suggest a simple model of the pp elastic scattering with two types of particle exchanges: 1) when the exchanged particle transfers the momentum Q from a quark of the proton p1 to one quark in another proton p2, producing the slope B1; 2) when the transfer occurs from two quarks in the p1 to two quarks in the p2, giving the exponent with the slope B2. The resulting amplitude is proportional to the product of the form factors of two protons, depending on Q, but with different coefficients in the cases 1) and 2). Using the only parameter – the proton charge radius \(r_{{ch}}^{2}\) = 0.93 fm2, one obtains B1 = 16 GeV–2, B2 = 4 GeV–2 with the strict value of the ratio, \(\frac{{{{B}_{1}}}}{{{{B}_{2}}}}\) = 4.0, independent of rch. These predictions are surprisingly close to the data both in the pp and in the \(\bar {p}p\) differential cross sections. Comparison to experimental data and theoretical approaches is discussed, together with possible implications for the future development of the theory.



中文翻译:

了解pp($$ p \ bar {p} $$)微分截面中的两个斜率

最近的实验在pp弹性微分截面中发现了两个具有两个不同斜率参数的指数,在区域– t \(\ lesssim \)中,其阶数为(16–20)GeV –2和(4–4.8)GeV –2。分别为0.5 GeV 2和‒τ  \(\ gtrsim \) 1 GeV 2。我们建议一种简单的pp弹性散射模型,其中包含两种类型的粒子交换:1)当交换的粒子将动量Q从质子p 1的夸克转移到另一质子p 2的一个夸克,从而产生斜率B 1时 ; 2)当传送从所述两个夸克发生p 1到2个夸克在p 2,赋予与斜率指数2。最终的幅度与两个质子的形状因子的乘积成比例,取决于Q,但是在情况1)和2)中具有不同的系数。使用唯一的参数–质子电荷半径\(r _ {{{ch}} ^ {2} \) = 0.93 fm 2,可以得到B 1 = 16 GeV –2B 2 = 4 GeV –2,其严格值为比率\(\ frac {{{{B} _ {1}}}} {{{{B} _ {2}}}} \)= 4.0,与r ch无关。这些预测令人惊讶地接近pp\(\ bar {p} p \)微分截面中的数据。讨论了与实验数据和理论方法的比较,以及对理论的未来发展的可能含义。

更新日期:2021-04-27
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