The behavior of BH cross sections vs φ with Q2 is explored at three different values of the beam energy while keeping the values of xB at 0.343 and t at -0.172. The low, medium and high values of the beam energy used were respectively 3, 11 and 30 GeV. For each energy it was analized the region of Q2 values that allows to obtain valid and non-negative values of the cross sections. These ranges are summarized in Table 1. For medium and high k the same Q2 range was found.
Low k 3 GeV | Medium k 11 GeV | High k 30 GeV | ||||||
| Q2 (GeV2) | ||||||||
[0.219 – 1.832 ] | [0.219 – 5.515] | |||||||
Low Q2 0.4 GeV2 | Medium Q2 1.2 GeV2 | High Q2 1.82 GeV2 | Low Q2 0.22 GeV2 | Medium Q2 3 GeV2 | High Q2 5.2 GeV2 | |||
| t | ||||||||
[-0.099 – -0.690] | [-0.131 – -1.645] | [-0.139 – -1.475] | [-0.077 – -0.176] | [-0.146 – -1.030] | [-0.151 – -0.271] | |||
Table 1: Limits of Q2 and t values that allow to obtain valid and non-negative values of the cross sections.
Figure 1 displays the resulting distributions of the BH cross sections vs φ varying Q2 in the ranges shown on Table 1 using steps of 0.2 GeV2 for the low k and 0.45 GeV2 for the medium and high k.
Figure 1: BH cross sections vs φ for different Q2 values at low, medium and high k.
Furthermore, three values of Q2 (i.e: low Q2, medium Q2 and high Q2) were selected on the valid Q2 ranges at low k and medium and high k. At low k, the selected values of Q2 were 0.4, 1.2 and 1.82 GeV2. For medium and high k it was selected Q2 at 0.22, 3 and 5.2 GeV2. Similarly, at the selected values of Q2 for low medium and high k, it was studied the behavior of the BH cross sections vs φ for different values of t. Table 1 shows for the given values of k and Q2 , the range of t where defined non-negative cross sections values are found. The results are shown on the Figures 2, 3 and 4 for low, medium and high k respectively.
Figure 2: BH cross sections vs φ for different t values at low k and low (left), medium (center) and high (right) Q2 .
Figure 3: BH cross sections vs φ for different t values at medium k and low (left), medium (center) and high (right) Q2 .
Figure 4: BH cross sections vs φ for different t values at high k and low (left), medium (center) and high (right) Q2 .
• Kinematic region where the cross section vs φ behaves closer to a linear distribution.
The dependence of the azimuthal angle distributions of BH cross sections with xB is shown on the following graphs. The values of k, Q2 and t are fixed at 30 GeV, 3 GeV2 and -0.151 respectively since as seen on the previous graphs, the cross section vs φ has a flatter behavior around those values. At those kinematics, xB can take values between 0.054 and 0.348. The obtained distributions show that the cross sections become closer to a linear behavior as xB increases.
Figure 5: BH cross sections vs φ for different xB between 0.054 and 0.342 in logarithmic scale (left) and linear scale (right) around xB higher values.
Figure 6: BH cross sections vs φ for different xB between 0.318 and 0.348 with 0.005 step size.
Figure 6 shows that the behavior is nearly linear when xB is equal to 0.348. Therefore xB is fixed at that value while exploring the dependency of BH cross sections vs φ with t. Figures 7 and 8 show the resulting distribution when changing t.
Figure 7: BH cross sections vs φ for different t values between -0.151 and -1.015 in logarithmic scale (left) and linear scale (right) for the highest values of t.
Figure 8: BH cross sections vs φ for different t between -0.151 and -0.231 with -0.01 step size.