Multipion states in lattice QCD and the charged-pion condensate

Detmold, Will; Detmold, William; Savage, Martin; Torok, Aaron; Beane, Silas; Luu, Thomas; Orginos, Konstantinos; Parreno, Assumpta

doi:10.1103/PhysRevD.78.014507

Title: Multipion states in lattice QCD and the charged-pion condensate

Journal Article · Tue Jul 01 00:00:00 EDT 2008 · Physical Review D

DOI:https://doi.org/10.1103/PhysRevD.78.014507· OSTI ID:955980

Detmold, Will; Detmold, William; Savage, Martin; Torok, Aaron; Beane, Silas; Luu, Thomas; Orginos, Konstantinos; Parreno, Assumpta

The ground-state energies of systems containing up to 12 pi+'s in a spatial volume V~(2.5 fm)3 are computed in dynamical, mixed-action lattice QCD at a lattice spacing of ~0.125 fm for four different values of the light-quark masses. Clean signals are seen for each ground-state, allowing for a precise extraction of both the pi+pi+ scattering length and pi+pi+pi+ interaction from a correlated analysis of systems containing different numbers of pi+'s. This extraction of the pi+pi+ scattering length is consistent with that from the pi+pi+ system alone. The large number of systems studied here significantly strengthens the arguments presented in our earlier work and unambiguously demonstrates the presence of a low energy pi+pi+pi+ interaction. The equation of state of a pi+ gas is investigated using our numerical results and the density dependence of the isospin chemical potential for these systems agrees well with the theoretical expectations of leading order chiral perturbation theory.

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Research Organization:: Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)

Sponsoring Organization:: USDOE

DOE Contract Number:: AC05-060R23177

OSTI ID:: 955980

Report Number(s):: JLAB-THY-08-842; DOE/OR/23177-0418

Journal Information:: Physical Review D, Vol. 78

Country of Publication:: United States

Language:: English

References (45)

Nucleon-nucleon effective field theory without pions Chen, Jiunn-Wei; Rupak, Gautam; Savage, Martin J. Nuclear Physics A, Vol. 653, Issue 4 https://doi.org/10.1016/S0375-9474(99)00298-5	journal	July 1999
Kaon B parameter in quenched QCD DeGrand, Thomas Physical Review D, Vol. 69, Issue 1 https://doi.org/10.1103/PhysRevD.69.014504	journal	January 2004
Chiral anomalies and rooted staggered fermions Creutz, Michael Physics Letters B, Vol. 649, Issue 2-3 https://doi.org/10.1016/j.physletb.2007.03.065	journal	May 2007
Lattice QCD at finite isospin chemical potential and temperature Kogut, J. B.; Sinclair, D. K. Nuclear Physics B - Proceedings Supplements, Vol. 119 https://doi.org/10.1016/S0920-5632(03)80456-5	journal	May 2003
Accurate nucleon-nucleon potential with charge-independence breaking Wiringa, R. B.; Stoks, V. G. J.; Schiavilla, R. Physical Review C, Vol. 51, Issue 1 https://doi.org/10.1103/PhysRevC.51.38	journal	January 1995
Axial symmetries in lattice QCD with Kaplan fermions Furman, Vadim; Shamir, Yigal Nuclear Physics B, Vol. 439, Issue 1-2 https://doi.org/10.1016/0550-3213(95)00031-M	journal	April 1995
On two-color QCD with baryon chemical potential Kogut, J. B.; Stephanov, M. A.; Toublan, D. Physics Letters B, Vol. 464, Issue 3-4 https://doi.org/10.1016/S0370-2693(99)00971-5	journal	October 1999
QCD-like theories at finite baryon density Kogut, J. B.; Stephanov, M. A.; Toublan, D. Nuclear Physics B, Vol. 582, Issue 1-3 https://doi.org/10.1016/S0550-3213(00)00242-X	journal	August 2000
$n$ -boson energies at finite volume and three-boson interactions Beane, Silas R.; Detmold, William; Savage, Martin J. Physical Review D, Vol. 76, Issue 7 https://doi.org/10.1103/PhysRevD.76.074507	journal	October 2007
Chiral fermions from lattice boundaries Shamir, Yigal Nuclear Physics B, Vol. 406, Issue 1-2 https://doi.org/10.1016/0550-3213(93)90162-I	journal	September 1993
Lattice Methods for Quantum Chromodynamics DeGrand, Thomas; DeTar, Carleton World Scientific https://doi.org/10.1142/9789812773982	book	September 2006
Flavor symmetry and the static potential with hypercubic blocking Hasenfratz, Anna; Knechtli, Francesco Physical Review D, Vol. 64, Issue 3 https://doi.org/10.1103/PhysRevD.64.034504	journal	July 2001
The euclidean spectrum of Kaplan's lattice chiral fermions Shamir, Yigal Physics Letters B, Vol. 305, Issue 4 https://doi.org/10.1016/0370-2693(93)91068-X	journal	May 1993
Nucleon-Nucleon Scattering from Fully Dynamical Lattice QCD Beane, S. R.; Bedaque, P. F.; Orginos, K. Physical Review Letters, Vol. 97, Issue 1 https://doi.org/10.1103/PhysRevLett.97.012001	journal	July 2006
$π^{-}$ Condensate in Dense Nuclear Matter Scalapino, D. J. Physical Review Letters, Vol. 29, Issue 6 https://doi.org/10.1103/PhysRevLett.29.386	journal	August 1972
Condensed $π^{-}$ Phase in Neutron-Star Matter Sawyer, R. F. Physical Review Letters, Vol. 29, Issue 6 https://doi.org/10.1103/PhysRevLett.29.382	journal	August 1972
A method for simulating chiral fermions on the lattice Kaplan, David B. Physics Letters B, Vol. 288, Issue 3-4 https://doi.org/10.1016/0370-2693(92)91112-M	journal	August 1992
Staggered eigenvalue mimicry Dürr, Stephan; Hoelbling, Christian; Wenger, Urs Physical Review D, Vol. 70, Issue 9 https://doi.org/10.1103/PhysRevD.70.094502	journal	November 2004
QCD at Finite Isospin Density Son, D. T.; Stephanov, M. A. Physical Review Letters, Vol. 86, Issue 4 https://doi.org/10.1103/PhysRevLett.86.592	journal	January 2001
QCD spectrum with three quark flavors Bernard, Claude; Burch, Tom; Orginos, Kostas Physical Review D, Vol. 64, Issue 5 https://doi.org/10.1103/PhysRevD.64.054506	journal	August 2001
QCD at a Finite isospin density: From the pion to quark-antiquark condensation Son, D. T.; Stephanov, M. A. Physics of Atomic Nuclei, Vol. 64, Issue 5 https://doi.org/10.1134/1.1378872	journal	May 2001
Eigenvalues and Eigenfunctions of a Bose System of Hard Spheres and Its Low-Temperature Properties Lee, T. D.; Huang, Kerson; Yang, C. N. Physical Review, Vol. 106, Issue 6 https://doi.org/10.1103/PhysRev.106.1135	journal	June 1957
The Gell-Mann–Okubo mass relation among baryons from fully-dynamical mixed-action lattice QCD Beane, Silas R.; Orginos, Kostas; Savage, Martin J. Physics Letters B, Vol. 654, Issue 1-2 https://doi.org/10.1016/j.physletb.2007.05.062	journal	October 2007
Reducing chiral symmetry violations in lattice QCD with domain-wall fermions Shamir, Yigal Physical Review D, Vol. 59, Issue 5 https://doi.org/10.1103/PhysRevD.59.054506	journal	February 1999
Hadronic physics with domain-wall valence and improved staggered sea quarks Renner, D. B.; Schroers, W.; Edwards, R. Nuclear Physics B - Proceedings Supplements, Vol. 140 https://doi.org/10.1016/j.nuclphysbps.2004.11.357	journal	March 2005
Two meson systems with Ginsparg-Wilson valence quarks Chen, Jiunn-Wei; O’Connell, Donal; Walker-Loud, André Physical Review D, Vol. 75, Issue 5 https://doi.org/10.1103/PhysRevD.75.054501	journal	March 2007
Testing improved actions for dynamical Kogut-Susskind quarks Orginos, Kostas; Toussaint, Doug Physical Review D, Vol. 59, Issue 1 https://doi.org/10.1103/PhysRevD.59.014501	journal	November 1998
Precise determination of the $I = 2$ $π π$ scattering length from mixed-action lattice QCD Beane, Silas R.; Luu, Thomas C.; Orginos, Kostas Physical Review D, Vol. 77, Issue 1 https://doi.org/10.1103/PhysRevD.77.014505	journal	January 2008
Strong-isospin violation in the neutron–proton mass difference from fully-dynamical lattice QCD and PQQCD Beane, Silas R.; Orginos, Kostas; Savage, Martin J. Nuclear Physics B, Vol. 768, Issue 1-2 https://doi.org/10.1016/j.nuclphysb.2006.12.023	journal	April 2007
$π K$ scattering in full QCD with domain-wall valence quarks Beane, Silas R.; Bedaque, Paulo F.; Luu, Thomas C. Physical Review D, Vol. 74, Issue 11 https://doi.org/10.1103/PhysRevD.74.114503	journal	December 2006
Asymptotic Formulaae in Combinatory Analysis Hardy, G. H.; Ramanujan, S. Proceedings of the London Mathematical Society, Vol. s2-17, Issue 1 https://doi.org/10.1112/plms/s2-17.1.75	journal	January 1918
Hyperon–nucleon scattering from fully-dynamical lattice QCD Beane, Silas R.; Bedaque, Paulo F.; Luu, Thomas C. Nuclear Physics A, Vol. 794, Issue 1-2 https://doi.org/10.1016/j.nuclphysa.2007.07.006	journal	October 2007
Lattice QCD on small computers Alford, M.; Dimm, W.; Lepage, G. P. Physics Letters B, Vol. 361, Issue 1-4 https://doi.org/10.1016/0370-2693(95)01131-9	journal	November 1995
Two-nucleon systems from effective field theory Kaplan, David B.; Savage, Martin J.; Wise, Mark B. Nuclear Physics B, Vol. 534, Issue 1-2 https://doi.org/10.1016/S0550-3213(98)00440-4	journal	November 1998
Two nucleons on a lattice Beane, S. R.; Bedaque, P. F.; Parreño, A. Physics Letters B, Vol. 585, Issue 1-2 https://doi.org/10.1016/j.physletb.2004.02.007	journal	April 2004
Comment on: “Chiral anomalies and rooted staggered fermions” [Phys. Lett. B 649 (2007) 230] Bernard, Claude; Golterman, Maarten; Shamir, Yigal Physics Letters B, Vol. 649, Issue 2-3 https://doi.org/10.1016/j.physletb.2007.04.018	journal	May 2007
Reply to: “Comment on: ‘Chiral anomalies and rooted staggered fermions’ [Phys. Lett. B 649 (2007) 230]” [Phys. Lett. B 649 (2007) 235] Creutz, Michael Physics Letters B, Vol. 649, Issue 2-3 https://doi.org/10.1016/j.physletb.2007.04.017	journal	May 2007
Two-particle states on a torus and their relation to the scattering matrix Lüscher, Martin Nuclear Physics B, Vol. 354, Issue 2-3 https://doi.org/10.1016/0550-3213(91)90366-6	journal	May 1991
$f_{K} / f_{π}$ in full QCD with domain wall valence quarks Beane, S. R.; Bedaque, P. F.; Orginos, K. Physical Review D, Vol. 75, Issue 9 https://doi.org/10.1103/PhysRevD.75.094501	journal	May 2007
Energy of $n$ identical bosons in a finite volume at $O (L^{- 7})$ Detmold, William; Savage, Martin J. Physical Review D, Vol. 77, Issue 5 https://doi.org/10.1103/PhysRevD.77.057502	journal	March 2008
Validity of the rooted staggered determinant in the continuum limit Hasenfratz, Anna; Hoffmann, Roland Physical Review D, Vol. 74, Issue 1 https://doi.org/10.1103/PhysRevD.74.014511	journal	July 2006
Chiral quarks and the non-relativistic quark model Manohar, Aneesh; Georgi, Howard Nuclear Physics B, Vol. 234, Issue 1 https://doi.org/10.1016/0550-3213(84)90231-1	journal	March 1984
Improving the chiral properties of lattice fermions DeGrand, Thomas; Hasenfratz, Anna; Kovács, Tamás G. Physical Review D, Vol. 67, Issue 5 https://doi.org/10.1103/PhysRevD.67.054501	journal	March 2003
Multipion Systems in Lattice QCD and the Three-Pion Interaction Beane, Silas R.; Detmold, William; Luu, Thomas C. Physical Review Letters, Vol. 100, Issue 8 https://doi.org/10.1103/PhysRevLett.100.082004	journal	February 2008
The Chroma Software System for Lattice QCD Edwards, Robert G.; Joó, Bálint Nuclear Physics B - Proceedings Supplements, Vol. 140 https://doi.org/10.1016/j.nuclphysbps.2004.11.254	journal	March 2005

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