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Title: How tetraquarks can generate a second chiral phase transition

Abstract

We consider how tetraquarks can affect the chiral phase transition in theories like QCD, with light quarks coupled to three colors. For two flavors the tetraquark field is an isosinglet, and its effect is minimal. For three flavors, however, the tetraquark field transforms in the same representation of the chiral symmetry group as the usual chiral order parameter, and so for very light quarks there may be two chiral phase transitions, which are both of first order. In QCD, results from the lattice indicate that any transition from the tetraquark condensate is a smooth crossover. In the plane of temperature, T, and quark chemical potential, μ, though, a crossover line for the tetraquark condensate is naturally related to the transition line for color superconductivity. For four flavors we suggest that a triquark field, antisymmetric in both flavor and color, combine to form hexaquarks.

Authors:
 [1];  [2]
  1. Brookhaven National Lab. (BNL), Upton, NY (United States). Dept. of Physics; Brookhaven National Lab. (BNL), Upton, NY (United States). RIKEN Research Center
  2. Brookhaven National Lab. (BNL), Upton, NY (United States). RIKEN Research Center
Publication Date:
Research Org.:
Brookhaven National Lab. (BNL), Upton, NY (United States)
Sponsoring Org.:
USDOE Office of Under Secretary for Science (S-4); USDOE
OSTI Identifier:
1338595
Alternate Identifier(s):
OSTI ID: 1323573
Report Number(s):
BNL-113229-2016-JA
Journal ID: ISSN 2470-0010; PRVDAQ; R&D Project: KB0301020; KB0301020; TRN: US1701650
Grant/Contract Number:  
SC0012704
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Physical Review D
Additional Journal Information:
Journal Volume: 94; Journal Issue: 5; Journal ID: ISSN 2470-0010
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; tetraquarks

Citation Formats

Pisarski, Robert D., and Skokov, Vladimir V. How tetraquarks can generate a second chiral phase transition. United States: N. p., 2016. Web. doi:10.1103/PhysRevD.94.054008.
Pisarski, Robert D., & Skokov, Vladimir V. How tetraquarks can generate a second chiral phase transition. United States. https://doi.org/10.1103/PhysRevD.94.054008
Pisarski, Robert D., and Skokov, Vladimir V. 2016. "How tetraquarks can generate a second chiral phase transition". United States. https://doi.org/10.1103/PhysRevD.94.054008. https://www.osti.gov/servlets/purl/1338595.
@article{osti_1338595,
title = {How tetraquarks can generate a second chiral phase transition},
author = {Pisarski, Robert D. and Skokov, Vladimir V.},
abstractNote = {We consider how tetraquarks can affect the chiral phase transition in theories like QCD, with light quarks coupled to three colors. For two flavors the tetraquark field is an isosinglet, and its effect is minimal. For three flavors, however, the tetraquark field transforms in the same representation of the chiral symmetry group as the usual chiral order parameter, and so for very light quarks there may be two chiral phase transitions, which are both of first order. In QCD, results from the lattice indicate that any transition from the tetraquark condensate is a smooth crossover. In the plane of temperature, T, and quark chemical potential, μ, though, a crossover line for the tetraquark condensate is naturally related to the transition line for color superconductivity. For four flavors we suggest that a triquark field, antisymmetric in both flavor and color, combine to form hexaquarks.},
doi = {10.1103/PhysRevD.94.054008},
url = {https://www.osti.gov/biblio/1338595}, journal = {Physical Review D},
issn = {2470-0010},
number = 5,
volume = 94,
place = {United States},
year = {Fri Sep 09 00:00:00 EDT 2016},
month = {Fri Sep 09 00:00:00 EDT 2016}
}

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Cited by: 10 works
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Works referenced in this record:

Doubly Heavy Tetraquarks and Baryons
journal, January 2014


Chiral matrix model of the semi-QGP in QCD
journal, August 2016


A chiral q¯q¯qq nonet?
journal, December 2004


Exotica
journal, March 2005


Narrow tetraquarks at large N
journal, August 2013


Tetraquark Mesons in Large- N Quantum Chromodynamics
journal, June 2013


Glueball in a chiral linear sigma model with vector mesons
journal, September 2011


Multiquark hadrons. I. Phenomenology of Q 2 Q ¯ 2 mesons
journal, January 1977


Probing the substructure of f 0 ( 1370 )
journal, April 2015


Review of Particle Physics
journal, August 2014


Putative light scalar nonet
journal, March 1999


Is f 0 ( 1710 ) a glueball?
journal, December 2014


Chiral nonet mixing in η η π π decay
journal, August 2014


Equation of state and QCD transition at finite temperature
journal, July 2009


Tetraquark bound states in a Bethe–Salpeter approach
journal, December 2012


How instantons solve the U(1) problem
journal, September 1986


Event-by-event fluctuations in heavy ion collisions and the QCD critical point
journal, November 1999


Mesons Beyond the Quark--Antiquark Picture
journal, January 2016


The Scalar--Isovector Sector in the Extended Linear Sigma Model
journal, January 2014


Superfluidity in a model of massless fermions coupled to scalar bosons
journal, October 1999


Mechanism for a next-to-lowest lying scalar meson nonet
journal, February 2000


Chiral phase transition with mixing between scalar quarkonium and tetraquark
journal, March 2014


The light scalar mesons as tetraquarks
journal, February 2016


Equation of state in ( 2 + 1 )-flavor QCD
journal, November 2014


QCD chiral transition, U ( 1 ) A symmetry and the dirac spectrum using domain wall fermions
journal, March 2014


Remarks on the U ( 1 ) axial symmetry and the chiral transition in QCD at finite temperature
journal, November 2013


The QCD equation of state with dynamical quarks
journal, November 2010


Toy model for two chiral nonets
journal, August 2005


Model for light scalar mesons in QCD
journal, July 2007


Critical endpoint for deconfinement in matrix and other effective models
journal, June 2012


Linking U ( 2 ) × U ( 2 ) to O ( 4 ) model via decoupling
journal, February 2015


Mesons beyond the naive quark model
journal, January 2004


Functional renormalization group study of the chiral phase transition including vector and axial-vector mesons
journal, November 2015


Phases of dense quarks at large
journal, November 2007


QCD equation of state with almost physical quark masses
journal, January 2008


Continuity of Quark and Hadron Matter
journal, May 1999


Meson vacuum phenomenology in a three-flavor linear sigma model with (axial-)vector mesons
journal, January 2013


Note on a sigma model connection with instanton dynamics
journal, May 2008


Chiral nonet mixing in π π scattering
journal, December 2011


Full result for the QCD equation of state with <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd" xmlns:sa="http://www.elsevier.com/xml/common/struct-aff/dtd"><mml:mn>2</mml:mn><mml:mo>+</mml:mo><mml:mn>1</mml:mn></mml:math> flavors
journal, March 2014


Chiral density wave in nuclear matter
journal, January 2015


Do the P c + pentaquarks have strange siblings?
journal, December 2015


New Look at Scalar Mesons
journal, November 2004


Global aspects of the scalar meson puzzle
journal, April 2009


Gaps and critical temperature for color superconductivity
journal, February 2000


Can Experiment Distinguish Tetraquark Scalars, Molecules and ${\overline q}q$ Mesons?
journal, January 2007


Color superconductivity in dense quark matter
journal, November 2008


Chiral and deconfinement aspects of the QCD transition
journal, March 2012


Vacuum properties of mesons in a linear sigma model with vector mesons and global chiral invariance
journal, September 2010


Role of the tetraquark in the chiral phase transition
journal, February 2009


Tetraquarks in the 1/N expansion and meson-meson resonances
journal, June 2016


Axion cosmology, lattice QCD and the dilute instanton gas
journal, January 2016


Diquarks and Exotic Spectroscopy
journal, December 2003


Scalar mesons above and below 1 GeV
journal, August 2002


Relevance of the axial anomaly at the finite-temperature chiral transition in QCD
journal, November 2013


Color-flavor locking and chiral symmetry breaking in high density QCD
journal, January 1999


QCD and instantons at finite temperature
journal, January 1981


Critical line for H superfluidity in strange quark matter?
journal, August 2000


Low-lying scalars in an extended linear σ model
journal, December 2012


Large- N structure of tetraquark mesons
journal, September 2013


Tetraquarks with exotic flavor quantum numbers at large N c in QCD(AS)
journal, March 2014


Remarks on the chiral phase transition in chromodynamics
journal, January 1984


A theory of scalar mesons
journal, May 2008


The QCD transition temperature: results with physical masses in the continuum limit II
journal, June 2009


Equation of state for physical quark masses
journal, March 2010


Nonordinary light meson couplings and the 1 / N c expansion
journal, August 2014


Chiral perturbation theory, the 1 / N c expansion and Regge behavior determine the structure of the lightest scalar meson
journal, November 2011


a 1 ( 1420 ) resonance as a tetraquark state and its isospin partner
journal, May 2015


Thermodynamics of strong-interaction matter from lattice QCD
journal, October 2015


Two chiral nonet model with massless quarks
journal, February 2008


Transition temperature in QCD
journal, September 2006


Is there still any T c mystery in lattice QCD? Results with physical masses in the continuum limit III
journal, September 2010


Bootstrapping phase transitions in QCD and frustrated spin systems
journal, January 2015


Mixing of scalar tetraquark and quarkonia states in a chiral approach
journal, March 2007


Masses of Heavy and Light Scalar Tetraquarks in a Non-relativistic Quark Model
journal, January 2016


QCD Phase Transition with Chiral Quarks and Physical Quark Masses
journal, August 2014


Nuclear matter within a dilatation-invariant parity doublet model: The role of the tetraquark at nonzero density
journal, December 2011


Issues and Opportunities in Exotic Hadrons
journal, April 2016


Chiral model for q ¯ q and q q ¯ q q mesons
journal, November 2004


Chiral symmetry breaking without bilinear condensates, unbroken axial Z N symmetry, and exact QCD inequalities
journal, November 1998


Signatures of the Tricritical Point in QCD
journal, November 1998


Works referencing / citing this record:

Charmed baryon Λ c in nuclear matter
journal, November 2017


Role of a four-quark and a glueball state in pion-pion and pion-nucleon scattering
journal, April 2019