Nuclear matter in the chiral limit and the in-medium chiral condensate

Plohl, O.; Fuchs, Christian

doi:10.1016/j.nuclphysa.2007.10.009

Cited by 8 publications

(17 citation statements)

References 64 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Note that we obtain a realistic equation of state for symmetric nuclear matter and the quark condensate keeps its trend to vanish for higher densities, as also observed in ref. [32]. We agree on the observation performed in refs.…”

Section: Discussion and Resultssupporting

confidence: 93%

See 1 more Smart Citation

The chiral quark condensate and pion decay constant in nuclear matter at next-to-leading order

Lacour¹,

Oller

Meißner

2010

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

View full text Add to dashboard Cite

Making use of the recently developed chiral power counting for the physics of nuclear matter [1,2], we evaluate the in-medium chiral quark condensate up to next-to-leading order for both symmetric nuclear matter and neutron matter. Our calculation includes the full in-medium iteration of the leading order local and one-pion exchange nucleon-nucleon interactions. Interestingly, we find a cancellation between the contributions stemming from the quark mass dependence of the nucleon mass appearing in the in-medium nucleon-nucleon interactions. Only the contributions originating from the explicit quark mass dependence of the pion mass survive. This cancellation is the reason of previous observations concerning the dominant role of the long-range pion contributions and the suppression of short-range nucleon-nucleon interactions. We find that the linear density contribution to the in-medium chiral quark condensate is only slightly modified for pure neutron matter by the nucleon-nucleon interactions. For symmetric nuclear matter the in-medium corrections are larger, although smaller compared to other approaches due to the full iteration of the lowest order nucleon-nucleon tree-level amplitudes. Our calculation satisfies the Hellmann-Feynman theorem to the order worked out. Also we address the problem of calculating the leading in-medium corrections to the pion decay constant. We find that there are no extra in-medium corrections that violate the Gell-Mann-Oakes-Renner relation up to next-to-leading order.

show abstract

Section: Discussion and Resultssupporting

confidence: 93%

“…We agree on the observation performed in refs. [30,32] that the short-range nucleon-nucleon interactions effects are suppressed for the evaluation of the in-medium quark condensate which is dominated by long-ranged pion physics. This is a consequence of eq.…”

Section: Discussion and Resultsmentioning

confidence: 99%

The chiral quark condensate and pion decay constant in nuclear matter at next-to-leading order

Lacour¹,

Oller

Meißner

2010

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

View full text Add to dashboard Cite

show abstract

“…(14), actually explain observations made in earlier calculations [16,17] about the dominant role of the long-range part of nucleon interactions for the inmedium chiral quark condensate. In the previous equation the second and third term on the right hand side rise from diagram 1 and the last term, which represents the quark mass derivative of the nuclear matter energy density, is identified with diagrams 3 and 6.…”

Section: In-medium Chiral Quark Condensatesupporting

confidence: 64%

New developments for a chiral effective theory of nuclear matter

Oller¹,

Lacour²,

Meißner³

2011

AIP Conference Proceedings

View full text Add to dashboard Cite

Nuclear matter properties in the relativistic mean-field theory at finite temperature with interaction between σω mesons AIP Conf.Abstract. We report on the recent developments of a new effective field theory for nuclear matter [1, 2, 3]. We present first the nuclear matter chiral power counting that takes into account both short-and long-range inter-nucleon interactions. It also identifies non-perturbative strings of diagrams, related to the iteration of nucleon-nucleon interactions, which have to be re-summed. The methods of unitary chiral perturbation theory has been shown to be a useful tool in order to perform those resummations and provide sensible results up-to next-to-leading order for the ground state energy per particle of nuclear matter, in-medium chiral quark condensate and the self-energy and axial-vector couplings of the pion.

show abstract

“…Employing a recent computation of the NN-potential in lattice QCD [7] (at three different pion masses) we have found that the contact term has a negligible influence on the in-medium quark condensate (in agreement with ref. [8] which follows a somewhat different approach). As a result, we have obtained in ref.…”

Section: Introduction and Frameworkmentioning

confidence: 99%

Chiral condensate in neutron matter

Kaiser

Weise

2009

Physics Letters B

View full text Add to dashboard Cite

A recent chiral perturbation theory calculation of the in-medium quark condensate $<\bar q q>$ is extended to the isospin-asymmetric case of pure neutron matter. In contrast to the behavior in isospin-symmetric nuclear matter we find only small deviations from the linear density approximation. This feature originates primarily from the reduced weight factors (e.g. 1/6 for the dominant contributions) of the $2\pi$-exchange mechanisms in pure neutron matter. Our result suggests therefore that the tendencies for chiral symmetry restoration are actually favored in systems with large neutron excess (e.g. neutron stars). We also analyze the behavior of the density-dependent quark condensate $<\bar q q>(\rho_n)$ in the chiral limit $m_\pi\to 0$.Comment: 8 pages, 5 figure

show abstract

Nuclear matter in the chiral limit and the in-medium chiral condensate

Cited by 8 publications

References 64 publications

The chiral quark condensate and pion decay constant in nuclear matter at next-to-leading order

The chiral quark condensate and pion decay constant in nuclear matter at next-to-leading order

New developments for a chiral effective theory of nuclear matter

Chiral condensate in neutron matter

Contact Info

Product

Resources

About