Role of the in-medium four-quark condensates reexamined

Drukarev, E. G.; Ryskin, M. G.; Sadovnikova, V. A.

doi:10.1103/physrevc.86.035201

Cited by 8 publications

(21 citation statements)

References 35 publications

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“…One can write by Eqs. (4,6,7,11,14,17,18,20) of [14]. Numerically largest contributions are provided by the iterated one pion exchange and the two pion exchanges with ∆ isobars in intermediate states.…”

Section: Finite Density Qcd Sum Rulesmentioning

confidence: 99%

“…For the product of two u and two d quarks nonvanishing contributions come from X = Y = V , X = Y = A, and also from X = V , Y = S and X = A, Y = T [20].…”

Section: General Expressionsmentioning

confidence: 99%

“…Now we obtain the contribution of four-quark condensates to polarization operator. Following [8], [20] we present…”

Section: General Expressionsmentioning

confidence: 99%

“…For symmetric matter the dimensionless parameters A g = −0.10, B g = 1.80 and C g = −0.88 where obtained in [20]. Now we add the configurations in which two pairs of quark operators act on two different nucleons of the matter.…”

Section: Finite Density Qcd Sum Rulesmentioning

confidence: 99%

“…The pairs of quarks can carry various combinations of the quantum numbers. These can be the scalar-scalar (SS), vector-vector (V V ), pseudovector-pseudovector (P P ), axial-axial (AA), tensor-tensor (T T ),vector-scalar (V S) and axial-tensor (AT ) combinations [8], [20]. The probe nucleon exchanges by the mesons with the corresponding quantum numbers with one of the nucleons of the matter-see Fig.…”

Section: Finite Density Qcd Sum Rulesmentioning

confidence: 99%

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Three nucleon forces in nuclear matter in QCD sum rules

2017

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We calculate the single-particle nucleon characteristics in symmetric nuclear matter with inclusion of the 3N interactions. The contributions of the 3N forces to nucleon self energies are expressed in terms of the nonlocal scalar condensate (d = 3) and of the configuration of the four-quark condensates (d = 6) in which two daiquiri operators act on two different nucleons of the matter. The most important part of the contribution of the four-quark condensate is calculated in a model-independent way. We employed a relativistic quark model of nucleon for calculation of the rest part. The density dependence of the vector and scalar nucleon self energies and of the single-particle potential energy are obtained. Estimations on contributions of the 4N forces to the nucleon self energies are made.

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Section: Finite Density Qcd Sum Rulesmentioning

confidence: 99%

“…For the product of two u and two d quarks nonvanishing contributions come from X = Y = V , X = Y = A, and also from X = V , Y = S and X = A, Y = T [20].…”

Section: General Expressionsmentioning

confidence: 99%

“…Now we obtain the contribution of four-quark condensates to polarization operator. Following [8], [20] we present…”

Section: General Expressionsmentioning

confidence: 99%

Section: Finite Density Qcd Sum Rulesmentioning

confidence: 99%

Section: Finite Density Qcd Sum Rulesmentioning

confidence: 99%

See 3 more Smart Citations

Three nucleon forces in nuclear matter in QCD sum rules

2017

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Algebraic vacuum limits of QCD condensates from in-medium projections of Lorentz tensors

Buchheim¹,

Kämpfer²,

Hilger³

2016

J. Phys. G: Nucl. Part. Phys.

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Utilizing the in-medium Lorentz decomposition of operators generating QCD condensates we derive general constraints among the latter ones by the requirement of a smooth transition from medium to vacuum. In this way we relate the vacuum limits of heretofore unrelated condensates and provide consistency checks for the vacuum saturation hypothesis and the heavy quark mass expansion. The results are general and depend only on the rank and symmetry of the Lorentz tensors to be decomposed. The derived prescription enables to uniquely and directly identify operator product expansion contributions which are algebraically specific for in-medium situations and in particular useful for operators with a higher rank, i. e. larger than three. Four-quark condensates in mass dimension six are exemplified.

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Nuclear symmetry energy from QCD sum rules

Jeong

Lee

2013

Phys. Rev. C

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We calculate the nucleon self-energies in isospin-asymmetric nuclear matter using QCD sum rules. Taking the difference of these for the neutron and proton enables us to express the potential part of the nuclear symmetry energy in terms of local operators. We find that the scalar (vector) self energy part gives a negative (positive) contribution to the nuclear symmetry energy which is consistent with the results from relativistic mean field theories. Moreover, we find that an important contribution to the negative contribution of the scalar self energy comes from the twist-4 matrix elements, whose leading density dependence can be extracted from deep inelastic scattering experiments. This suggests that the twist-4 contribution partly mimics the exchange of the δ meson and that it constitutes an essential part in the origin of the nuclear symmetry energy from QCD. Our result also extends an early success of QCD sum rule method in understanding the symmetric nuclear matter in terms of QCD variables to the asymmetric nuclear matter case.

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Role of the in-medium four-quark condensates reexamined

Abstract: We calculate the nucleon self-energies in nuclear matter in the QCD sum rules approach, taking into account the contributions of the four-quark condensates. We

Cited by 8 publications

References 35 publications

Three nucleon forces in nuclear matter in QCD sum rules

Three nucleon forces in nuclear matter in QCD sum rules

Algebraic vacuum limits of QCD condensates from in-medium projections of Lorentz tensors

Nuclear symmetry energy from QCD sum rules

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