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Possible Explanation of $F_2^n/F_2^p$ at Large $x$ Using Quantum Statistical Mechanics

C. Bourrely, F. Buccella, W. C. Chang, D. Di Bari, P. H. Frampton, J. C. Peng

Abstract

The recent accurate measurements of the scattering of electrons off of the mirror nuclei $^3$H and $^3$He show with small errors that the neutron to proton ratio $r(x)=F^n_2(x)/F^p_2(x)$, approaches a value larger than 1/4 for $x \to 1$. We suggest a possible explanation for this experimental result by studying the consequences of the Pauli exclusion principle for the parton distribution when the ratio is described by quantum statistical mechanics description in terms of three parameters inspired by the quantum statistical approach.

Possible Explanation of $F_2^n/F_2^p$ at Large $x$ Using Quantum Statistical Mechanics

Abstract

The recent accurate measurements of the scattering of electrons off of the mirror nuclei H and He show with small errors that the neutron to proton ratio , approaches a value larger than 1/4 for . We suggest a possible explanation for this experimental result by studying the consequences of the Pauli exclusion principle for the parton distribution when the ratio is described by quantum statistical mechanics description in terms of three parameters inspired by the quantum statistical approach.

Paper Structure

This paper contains 4 sections, 23 equations, 4 figures, 1 table.

Table of Contents

  1. Introduction
  2. The Quantum Statistical Description of Parton Distributions
  3. The Quantum Statistical Description of $F_2^n(x)/F_2^p(x)$
  4. Conclusion

Figures (4)

  • Figure 1: Comparison of the MARATHON data with calculations. The dashed curve is obtained using the CJ15LO proton PDFs CJ, taking into account the $Q^2$ dependence of the MARATHON data. The solid curves are obtained from the statistical model using the two sets of parameters listed in Table I: $\bar{x}=0.099$ (red), $\bar{x}=0.101$ (blue) and $\bar{x}=0.128$ (orange), respectively.
  • Figure 2: Normalized chi square ${\raisebox{\depth}{$\tilde{\chi}$}}^2$ (dashed black), $X'_d$ (blue), $X'_u$ (red), and $r(x\rightarrow1)$ (black) as a function of $\bar{x}$.
  • Figure 3: The $x$ dependence of $d(x)/u(x)$ for three proton PDFs. The dashed curve corresponds to the CJ15LO proton PDFs CJ. The solid curves correspond to the proton PDFs obtained from the statistical model using the three sets of parameters listed in Table I: $\bar{x}=0.099$ (red), $\bar{x}=0.101$ (blue) and $\bar{x}=0.128$ (orange), respectively.
  • Figure 4: Comparison of the MARATHON data with the calculation using the latest global fit in the statistical model described in the text.