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Momentum sharing in imbalanced Fermi systems

Published 29 Nov 2014 in nucl-ex, cond-mat.quant-gas, and nucl-th | (1412.0138v1)

Abstract: The atomic nucleus is composed of two different kinds of fermions, protons and neutrons. If the protons and neutrons did not interact, the Pauli exclusion principle would force the majority fermions (usually neutrons) to have a higher average momentum. Our high-energy electron scattering measurements using 12C, 27Al, 56Fe and 208Pb targets show that, even in heavy neutron-rich nuclei, short-range interactions between the fermions form correlated high-momentum neutron-proton pairs. Thus, in neutron-rich nuclei, protons have a greater probability than neutrons to have momentum greater than the Fermi momentum. This finding has implications ranging from nuclear few body systems to neutron stars and may also be observable experimentally in two-spin state, ultra-cold atomic gas systems.

Citations (213)

Summary

  • The paper demonstrates that in neutron-rich nuclei, short-range correlations increase proton momentum beyond the Fermi limit.
  • It employs electron-induced two-proton knockout experiments with a 5.014 GeV beam at Jefferson Lab’s CLAS to isolate SRC pairs.
  • The findings impact nuclear interaction models and astrophysical phenomena, notably refining our understanding of neutron star dynamics.

Momentum Sharing in Imbalanced Fermi Systems

The paper "Momentum sharing in imbalanced Fermi systems" presents a thorough investigation of the behavior of fermions within nuclear systems, specifically focusing on neutron-proton (np) pairs in neutron-rich nuclei. Utilizing high-energy electron scattering measurements across various nuclei, including C, Al, Fe, and Pb, the authors explore the implications of short-range correlations (SRC) within these environments, which have been shown to alter traditional momentum distributions dictated by the Pauli exclusion principle.

The research hinges on a notable observation: in neutron-rich nuclei, protons exhibit a greater likelihood than neutrons of achieving momentum values exceeding the Fermi momentum. This conclusion arises from the establishment of SRCs that advantageously populate high-momentum states with equal numbers of np pairs, thus elevating the average proton momentum in such systems. The findings hold significant repercussions across multiple domains, from nuclear few-body systems to the astrophysical properties of neutron stars.

A key aspect of the experimental setup was detecting these SRC pairs using electron-induced two-proton knockout experiments conducted at Jefferson Lab's Hall B, employing a 5.014 GeV electron beam. The detection was facilitated by the CEBAF Large Acceptance Spectrometer (CLAS), which accurately measured the scattering interactions. Criteria were implemented to isolate events where a proton originating from an SRC pair was knocked out, revealing that SRC pairs comprised predominantly np pairs even in notably neutron-rich lead nuclei.

The theoretical underpinning draws parallels with phenomena observed in symmetric Fermi systems, expanding on these observations within imbalanced systems. It reiterates the universal feature seen across diverse systems—a disproportionate momentum distribution resulting from SRC-induced interactions. The research indicates that in many-body systems with asymmetric fermion populations, the minority component (protons, in this case) exhibits a higher average momentum than the majority (neutrons).

Moreover, the implications are far-reaching. The generated high-momentum tails have potential consequences for neutrino-nucleus interaction analyses in particle physics, with possible modifications to quark distributions within these nucleons, suggesting inconsistencies with traditional models and offering alternative insights into results from experiments like NuTeV. In astrophysics, this work aids in refining the nuclear symmetry energy constraints critical for phenomenological descriptions of neutron stars and supernovae processes.

The paper also suggests future experimental trajectories, recommending the exploration of imbalances in systems analogous to ultra-cold atomic gases, where experimental controls can finely tune interactions and imbalances.

In conclusion, this research contributes significantly to understanding fermion behavior in nuclear environments, providing a robust metric for evaluating nucleon interactions and momentum sharing in imbalanced Fermi systems. The comprehensive analysis of SRC dynamics not only reinforces existing theoretical frameworks but also opens the door to new methodologies and interpretations across nuclear and particle physics.

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