Nuclear sigma term in the Skyrme model: Pion-nucleus interaction

Gammal, A.; Frederico, T.

doi:10.1103/physrevc.57.2830

Cited by 6 publications

(10 citation statements)

References 35 publications

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“…The disturbance of the QCD vacuum due to the NN interaction, represented by σ ǫ , has a central value of about 10 MeV, which is about five times the binding energy and corresponds to about 10% of the total deuteron σ term. Our results have the same magnitude but an opposite sign to that produced by Gammal and Frederico [27] in the framework of the Skyrme model. The values of σ ǫ quoted in the tables are dominated by the component involving the constant c in eq.(12).…”

Section: Results and Conclusioncontrasting

confidence: 45%

Quark condensate in the deuteron

2000

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We study the changes produced by the deuteron on the QCD quark condensate by means of the FeynmanHellmann theorem and find that the pion mass dependence of the pion-nucleon coupling could play an important role. We also discuss the relation between the many body effect of the condensate and the meson exchange currents, as seen by photons and pions. For pion probes, the many-body term in the physical amplitude differs significantly from that of soft pions, the one linked to the condensate. Thus no information about the manybody term of the condensate can be extracted from the pion-deuteron scattering length. On the other hand, in the Compton amplitude, the relationship with the condensate is a more direct one.

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Section: Results and Conclusioncontrasting

confidence: 45%

Quark condensate in the deuteron

2000

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“…The Skyrme-type models provide somewhat larger values σ = 50 MeV [29] and σ = 59.6 MeV [30]. The chiral soliton model calculation gave σ = 54.3 MeV [31].…”

Section: Quark Scalar Condensate In Gas Approximationmentioning

confidence: 94%

QCD condensates and hadron parameters in nuclear matter: self-consistent treatment, sum rules and all that

Drukarev

Ryskin

Sadovnikova

2001

Progress in Particle and Nuclear Physics

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We review various approaches to the calculation of QCD condensates and of the nucleon characteristics in nuclear matter. We show the importance of their self-consistent treatment. The first steps in such treatment appeared to be very instructive. It is shown that the alleged pion condensation anyway can not take place earlier than the restoration of the chiral symmetry. We demonstrate how the finite density QCD sum rules for nucleons work and advocate their possible role in providing an additional bridge between the condensate and hadron physics.

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“…[46] with a Skyrme model of the nucleon and of the nuclear force. Comparing our result with the ratio M * N /M N = 0.9 we find that the condensate ratio at saturation density (low density) essentially comes out as (M * N /M N ) 2 as found by Saito and Thomas [25].…”

Section: Nucleon and Nuclear Matter σ Termsmentioning

confidence: 99%

“…In the above M N is the mass of the nucleon at zero density. In the next section, we will calculate the effective mass M * N in the medium using the above equation (46) where additional quark coupling to the mesons would be introduced in a mean field approximation.…”

Section: Gluonic Correctionsmentioning

confidence: 99%

Nuclear equation of state in a relativistic independent quark model with chiral symmetry and dependence on quark masses

et al. 2013

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We have calculated the properties of nuclear matter in a self-consistent manner with a quark-meson coupling mechanism incorporating the structure of nucleons in vacuum through a relativistic potential model; where the dominant confining interaction for the free independent quarks inside a nucleon is represented by a phenomenologically average potential in equally mixed scalar-vector harmonic form. Corrections due to spurious center of mass motion as well as those due to other residual interactions, such as the one gluon exchange at short distances and quark-pion coupling arising out of chiral symmetry restoration, have been considered in a perturbative manner to obtain the nucleon mass in vacuum. The nucleon-nucleon interaction in nuclear matter is then realized by introducing additional quark couplings to σ and ω mesons through mean field approximations. The relevant parameters of the interaction are obtained self-consistently while realizing the saturation properties such as the binding energy, pressure, and compressibility of the nuclear matter. We also discuss some implications of chiral symmetry in nuclear matter along with the nucleon and nuclear σ term and the sensitivity of nuclear matter binding energy with variations in the light quark mass.

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Nuclear sigma term in the Skyrme model: Pion-nucleus interaction

Cited by 6 publications

References 35 publications

Quark condensate in the deuteron

Quark condensate in the deuteron

QCD condensates and hadron parameters in nuclear matter: self-consistent treatment, sum rules and all that

Nuclear equation of state in a relativistic independent quark model with chiral symmetry and dependence on quark masses

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