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Quantum entanglement in nuclear Cooper-pair tunneling with γ rays

G. Potel1, F. Barranco2, E. Vigezzi3, and R. A. Broglia4,5

  • 1Lawrence Livermore National Laboratory, Livermore, California 94550, USA
  • 2Departamento de Física Aplicada III, Escuela Superior de Ingenieros, Universidad de Sevilla, Camino de los Descubrimientos, Sevilla, Spain
  • 3INFN Sezione di Milano, Via Celoria 16, I-20133 Milano, Italy
  • 4The Niels Bohr Institute, University of Copenhagen, DK-2100 Copenhagen, Blegdamsvej 17, Denmark
  • 5Dipartimento di Fisica, Università degli Studi di Milano, Via Celoria 16, I-20133 Milano, Italy

Phys. Rev. C 103, L021601 – Published 25 February, 2021

DOI: https://doi.org/10.1103/PhysRevC.103.L021601

Abstract

While Josephson-like junctions, transiently established in heavy-ion collisions (τcoll≈10−21s) between superfluid nuclei—and through which Cooper-pair tunneling (Q-value Q2n) proceeds mainly in terms of successive transfer of entangled nucleons—are deprived of the macroscopic aspects of a supercurrent, they display many of the special effects associated with spontaneous symmetry breaking in gauge space (BCS condensation), which can be studied in terms of individual quantum states and of tunneling of single Cooper pairs. From the results of studies of one- and two-neutron transfer reactions carried out at energies below the Coulomb barrier we estimate the value of the mean-square radius (correlation length) of the nuclear Cooper pair. A quantity related to the largest distance of closest approach for which the absolute two-nucleon tunneling cross section is of the order of the single-particle one. Furthermore, emission of γ rays of (Josephson) frequency νJ=Q2n/h distributed over an energy range ℏ/τcoll is predicted.

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Corrections

22 April, 2021

Correction: The first sentence of the abstract contained a syntax error and has been fixed to achieve clarity.

14 March, 2022

Second Correction: The inline equation at the end of the sixth sentence of the fourth paragraph contained an error and has been set right.

Viewpoint

The Tiniest Superfluid Circuit in Nature

Published 25 February, 2021

A new analysis of heavy-ion collision experiments uncovers evidence that two colliding nuclei behave like a Josephson junction—a device in which Cooper pairs tunnel through a barrier between two superfluids.

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