QCD sum rules in medium and the Okamoto-Nolen-Schiffer anomaly

Hatsuda, Tetsuo; Høgaasen, H.; Prakash, Madappa

doi:10.1103/physrevlett.66.2851

Cited by 82 publications

(64 citation statements)

References 24 publications

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“…Brown argues that a somewhat similar in medium effective nucleon mass renormalization can account for the Okamoto-NolenSchiffer anomaly [9]. An earlier QCD sum-rule approach [16] substantiate such a claim. This effect, as well as the contributions arising from CSB forces [7], lead mainly to volume effects, while the many-body mechanism discussed by us leads to a surface contribution.…”

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confidence: 58%

Proton single-particle energy shifts due to Coulomb correlations

Bulgac

Shaginyan

1999

Physics Letters B

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We show that the interplay between the Coulomb interaction and the strong interaction, which is enhanced in the nuclear surface, leads to a significant upward shift of the proton single-particle levels. This shift affects the position of the calculated proton drip line, a shift towards decreasing Z by several units. The same mechanism is responsible for significant corrections to the mass difference of the mirror nuclei (Okamoto-Nolen-Schiffer anomaly) and to the effective proton mass.PACS: 21.10.Sf Coulomb energies -21.10.Dr Binding energies -21.10.-k Nuclear energy levelsThe main part of the Coulomb energy in nuclei is given by the Hartree contribution and to a reasonable accuracy this can be computed as the energy of a uniformly charged sphere and is thus proportional to Z 2 /A 1/3 . There are a number of corrections, some of them rather subtle, arising from the interplay between the Coulomb and nuclear forces. The Okamoto-Nolen-Schiffer anomaly in the binding energy of mirror nuclei [1] is a case in point. In Ref.[2] we have shown that a specific many-body mechanism (described briefly below) leads to an enhancement of the Coulomb energy in the nuclear surface region and in this way one can account for the major part of this anomaly. This effect results in a systematic contribution to the nuclear binding energy, which scales as ∝ Z 2/3 . We are going to demonstrate that the mechanism should be taken into account when calculating a number of nuclear properties. In this Letter we study the role of this new many-body effect on the single-particle proton energy levels, on the location of the proton drip line and on the proton effective mass.We shall operate within the density functional theory [3,4,5,6]. The ground state energy of a nucleus E is given by a sum of two functionals (in the absence of pairing correlations):1

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confidence: 58%

Proton single-particle energy shifts due to Coulomb correlations

Bulgac

Shaginyan

1999

Physics Letters B

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“…[34,30], the neutron-proton mass was extracted from the difference between the neutron and proton mass sum rules, but the continuum contributions were disregarded. In a later calculation [35], the authors of Ref. [34] have included the continuum contribution in the study of the density dependence of the neutronproton mass difference in the medium.…”

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confidence: 99%

Baryon QCD sum rules in an external isovector-scalar field and baryon isospin mass splittings

Jin

1995

Phys. Rev. D

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Within the QCD sum-rule approach in an external field, we calculate the baryon matrix element of isovector-scalar current, H B = B|uu− dd|B /2M B , for octet baryons, which appears in the response of the correlator of baryon interpolating fields to a constant isovector-scalar external field. The sum rules are obtained for a general baryon interpolating field with an appropriate form for the phenomenological ansatz of the spectral density. The key phenomenological input is the response of the quark condensates to the external field. To first order in the quark mass difference δm = m d − m u , the non-electromagnetic part of the baryon isospin mass splitting is given by the product of δm and H B . Therefore, QCD sum-rule calculation of H B leads to an estimate of the octet baryon isospin mass splittings. The resulting values are comparable to the experimental values; however, the sum-rule predictions for H B are sensitive to the values of the response of the quark condensates to the external source, which are not well determined.

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“…(Other applications of sum rule methods to finite density problems are discussed in Refs. [10][11][12][13][14][15]). In Refs.…”

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QCD sum rules for Δ isobar in nuclear matter

Jin

1995

Phys. Rev. C

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The self-energies of ∆ isobar propagating in nuclear matter are calculated using the finite-density QCD sum-rule methods. The calculations show that the Lorentz vector self-energy for the ∆ is significantly smaller than the nucleon vector self-energy. The magnitude of the ∆ scalar self-energy is larger than the corresponding value for the nucleon, which suggests a strong attractive net self-energy for the ∆; however, the prediction for the scalar self-energy is very sensitive to the density dependence of certain in-medium four-quark condensate. Phenomenological implications for the couplings of the ∆ to the nuclear scalar and vector fields are briefly discussed.

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QCD sum rules in medium and the Okamoto-Nolen-Schiffer anomaly

Cited by 82 publications

References 24 publications

Proton single-particle energy shifts due to Coulomb correlations

Proton single-particle energy shifts due to Coulomb correlations

Baryon QCD sum rules in an external isovector-scalar field and baryon isospin mass splittings

QCD sum rules for Δ isobar in nuclear matter

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