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Related papers: How large is "large $N_c$" for Nuclear matter?

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We present a method for ordering two-nucleon interactions based upon their scaling with the number of QCD colors, $N_c$, in the limit that $N_c$ becomes large. Available data in the two-nucleon sector shows general agreement with this…

Nuclear Theory · Physics 2022-12-27 Thomas R. Richardson , Matthias R. Schindler , Roxanne P. Springer

We examine baryonic matter at quark chemical potential of the order of the confinement scale, $\mu_q\sim \lqcd$. In this regime, quarks are supposed to be confined but baryons are close to the ``tightly packed limit'' where they nearly…

Nuclear Theory · Physics 2013-05-29 Stefano Lottini , Giorgio Torrieri

We exhibit the existence of stable, saturated nuclear matter in the large $N_{c}$ and heavy quark mass limits of QCD. In this limit, baryons (with the same spin flavor structure) interact at leading order in $N_{c}$ via a repulsive…

Nuclear Theory · Physics 2014-06-11 Prabal Adhikari , Thomas D. Cohen , Ishaun Datta

We examine the phase diagram of hadronic matter when the number of colours $N_c$, as well as temperature and density, are varied. We show that in this regime a new percolation phase transition is possible, and examine the implications of…

High Energy Physics - Phenomenology · Physics 2012-11-22 Stefano Lottini , Giorgio Torrieri

The large $N_c$ nuclear potential puzzle arose because three- and higher-meson exchange contributions to the nucleon-nucleon potential did not automatically yield cancellations that make these contributions consistent with the general large…

Nuclear Theory · Physics 2009-11-07 Thomas D. Cohen

The existence of nuclear matter at large $N_{c}$ is investigated in the framework of effective hadronic models of the Walecka type. This issue is strongly related to the nucleon-nucleon attraction in the scalar channel, and thus to the…

High Energy Physics - Phenomenology · Physics 2011-09-07 Luca Bonanno , Francesco Giacosa

The nucleon-nucleon potential is analysed using the 1/N_c expansion of QCD. The NN potential is shown to have an expansion in 1/N_c^2, and the strengths of the leading order central, spin-orbit, tensor, and quadratic spin-orbit forces…

Nuclear Theory · Physics 2008-11-26 David B. Kaplan , Aneesh V. Manohar

We investigate properties of the color space of $SU(N_c)$ gauge theories in the limit of small number of colors $(N_c \to 0)$ and large number of flavors. More generally, we introduce a rescaling of $\alpha_s$ and $n_f$ which assigns a…

High Energy Physics - Phenomenology · Physics 2009-09-11 Stanley J. Brodsky , Patrick Huet

Two ideas have greatly contributed to our understanding of baryon structure in the framework of Quantum Chromodynamics (QCD). The first, chiral symmetry, received its fundamental justification from QCD and has been developed into the…

High Energy Physics - Phenomenology · Physics 2009-09-25 Thomas D. Cohen

Recent proposals for the use of light nuclei as dark matter direct detection targets necessitate a strong theoretical understanding of the nuclear physics involved. We perform relevant calculations for dark matter-light nucleus scattering…

Nuclear Theory · Physics 2022-10-27 Thomas R. Richardson , Xincheng Lin , Son T. Nguyen

The 1/N_c expansion (N_c being the number of QCD colors) has been applied in recent papers to the phenomenology of excited baryon resonances. This talk surveys the work done to date, and discusses its successes and remaining challenges.

High Energy Physics - Phenomenology · Physics 2017-08-23 Richard F. Lebed

The large Nc limit provides a good phenomenology of meson spectra and interactions. I discuss some problems with applying the large Nc approximation to the description of baryons, and point out a number of apparent paradoxes and…

High Energy Physics - Phenomenology · Physics 2009-12-04 Larry McLerran

In the limit of large $N_c$ we first consider the $N_c$ ordering of the various parity violating $\pi, N, \Delta$ couplings. Then we derive the relations among these couplings and consistency relations from the stability of these couplings…

High Energy Physics - Phenomenology · Physics 2009-06-17 Shi-Lin Zhu

We review the current status and present open challenges of large $N_c$ QCD baryon spectroscopy. After introducing the $1/N_c$ expansion method we first shortly revisit the latest achievements for the ground state properties. Next we…

High Energy Physics - Phenomenology · Physics 2015-06-19 N. Matagne , Fl. Stancu

In the large N_c(number of colors) limit, quenched QCD and QCD are identical. This implies that, in the effective field theory framework, some of the low energy constants in (N_c=3) quenched QCD and QCD are the same up to higher-order…

High Energy Physics - Lattice · Physics 2015-06-25 Jiunn-Wei Chen

At zero density, the `t Hooft large N_c limit often provides some very useful qualitative insights into the non-perturbative physics of QCD. However, it is known that at high densities the `t Hooft large N_c world looks very different from…

High Energy Physics - Phenomenology · Physics 2014-11-20 Michael I. Buchoff , Aleksey Cherman , Thomas D. Cohen

The phase diagram of QCD is investigated by varying number of colors $N_c$ within a Polyakov loop quark-meson chiral model. In particular, our attention is focused on the critical point(s): the critical point present for $N_c=3$ moves…

High Energy Physics - Phenomenology · Physics 2023-01-04 Péter Kovács , Győző Kovács , Francesco Giacosa

These lectures are designed to introduce the methods and results of large N_c QCD in a presentation intended for nuclear and particle physicists alike. Beginning with definitions and motivations of the approach, we demonstrate that all…

Nuclear Theory · Physics 2014-11-18 Richard F. Lebed

In this paper, the implication of the extreme large $N_c$ limit for nucleon-nucleon cross section is examined. Starting from the $N_c$ scaling of the S-matrix elements, a relation between the total inelastic and total cross sections is…

Nuclear Theory · Physics 2014-02-26 Thomas D. Cohen , Vojtěch Krejčiřík

An analysis of the baryon-baryon potential from the point of view of large-N(c) QCD is performed. A comparison is made between the N(c)-scaling behavior directly obtained from an analysis at the quark-gluon level to the N(c)-scaling of the…

High Energy Physics - Phenomenology · Physics 2009-11-07 A. V. Belitsky , T. D. Cohen
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