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Nuclear Theory·nucl-th

Monday·October 14, 2024

3 papers—3 primary·0 cross-listed

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  1. 01

    [Submitted on 10 Oct 2024]

    Hole in the Deuteron

    Misak M Sargsian🇺🇸

    We introduce a new observable, , that allows to isolate the node in the S-partial wave distribution of the deuteron in high electro-disintegration processes with tensor polarized target. The node is a signature of nuclear repulsive core and represents a crucial test of its strength, size as well as the role of the relativistic and non-nucleonic effects in a deeply bound state. Within plane wave impulse approximation the node immitates a ``hole" through which incoming probe passes through without interaction. It is demonstrated that high electro-disintegration processes due to their strong anisotropy of final state interaction effects, allow to gain an unprecedented access to the node, opening up a new venue in probing elusive dynamics of the nuclear repulsive core.

    Comments:
    5 pages and 6 figures
    Subjects:
    Nuclear Theory (nucl-th); High Energy Physics — Phenomenology (hep-ph); Nuclear Experiment (nucl-ex)
    arXiv:
    2410.08384 [pdf]
    3 citations
  2. 02

    [Submitted on 11 Oct 2024]

    Entanglement and coherence of the wobbling mode

    Q. B. Chen · S. Frauendorf

    The entanglement and coherence of the wobbling mode are studied in the framework of the particle plus triaxial rotor model for the one-quasiparticle nucleus Pr and the two-quasiparticles nucleus Ba. The focus lies on the coupling between the total and the particle angular momenta. Using the Schmidt decomposing, it is quantified in terms of the von Neumann entropy of the respective sub-systems, which measures their mutual entanglement. The entropy and the entanglement increase with spin and number of wobbling quanta . The coherence of the wobbling mode is studied by means of the eigenstate decomposition of its reduced density matrix. To a good approximation, the probability distributions of the total angular momentum can be interpreted as the incoherent combination of the coherent contributions from the first two pairs of eigenvectors with the largest weight of the reduced density matrix. Decoherence measures are defined, which, in accordance, scatter between 0.1 to 0.2 at low spin and between 0.1 and 0.3 at high spin. Entanglement in the framework of the adiabatic approximation is further analyzed. In general, the coherent eigenstates of the effective collective Hamiltonian approximate the reduced density matrix with the limited accuracy of its pair of eigenstates with the largest weight. As the adiabatic approximation becomes more accurate with decreasing excitation energy, the probability distribution of the angle of the total angular momentum around a principal axis approaches the one of the full reduced density matrix. The transition probabilities and spectroscopic quadrupole moments reflect this trend.

    Comments:
    26 pages, 24 figures
    Subjects:
    Nuclear Theory (nucl-th); Nuclear Experiment (nucl-ex)
    arXiv:
    2410.08749 [pdf]
    PRC(2024)·10 citations
  3. 03

    [Submitted on 11 Oct 2024]

    A further study on the renormalization group aspect of perturbative corrections

    C.-J. Yang🇷🇴

    I perform a further study regarding a renormalization-group (RG) issue -- which concerns a wide variety of the so-called perturbative power counting under effective field theories (EFT) -- as pointed out by A. M. Gasparyan and E. Epelbaum [Phys. Rev. C 107, 034001 (2023)]. I show that the issue could originate from a wrong power counting, or from treating those incomplete, truncated amplitudes beyond the degree to which they should be trusted. Meanwhile, under EFT principles, one should always associate the result with an uncertainty that is adequate to its EFT order. One way to accommodate this is to encode its effect in a more general form of contact terms. In this regard, no RG issue is found in the P nucleon-nucleon scattering under the Long and Yang power counting. In contrast, the RG issue under Weinberg's pragmatic proposal remains a problem even with uncertainty taken into account.

    Comments:
    9 pages, 9 figures, published version
    Subjects:
    Nuclear Theory (nucl-th)
    arXiv:
    2410.08845 [pdf]
    PRC(2025)·11 citations

Affiliations

first authorsco-authorsvia INSPIRE