Pentaquark hadrons from lattice QCD

Csikor, F.; Fodor, Z.; Katz, Sándor D.; Kovács, Tamás

doi:10.1088/1126-6708/2003/11/070

Cited by 156 publications

(204 citation statements)

References 21 publications

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confidence: 94%

“…Here an important issue is whether such nonstrange heavy pentaquark states are stable against strong decays [7,8,9,10,11]. Subsequent theoretical investigations on the Θ + include approaches based on the constituent quark model [12,13,14], Skyrme model [15,16,17,18,19], QCD sum rules [20,21], lattice QCD [22], chiral potential model [23], large N c QCD [24], and Group theory approach [25]. The production of the Θ + was also discussed in relativistic nuclear collisions [26], where the number of the anti-Θ + (1540) produced are expected to be similar to that of the Θ + (1540).…”

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confidence: 99%

“…As for the spin-parity of the Θ + , several works claim that J P = 1 2 − is more natural [13,21,22], which, however, is in contrast to the prediction of the soliton models, where the relative orbital angular momentum plays an important role [9, 11]. The J P = 1 2 + assignment is also consistent with the recent study of the quark model [27], which predicts the lowest mass pentaquark state to be in the P wave state.…”

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confidence: 99%

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Properties of the baryon antidecuplet

Kim

Lee

2004

Phys. Rev. D

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We study the group structure of baryon anti-decuplet containing the Θ + . We derive the SU(3) mass relations among the pentaquark baryons in the anti-decuplet, when there is either no mixing or ideal mixing with the pentaquark octet, as advocated by Jaffe and Wilczek. This constitutes the Gell-Mann-Okubo mass formula for the pentaquark baryons. We also derive SU(3) symmetric Lagrangian for the interactions of the baryons in the anti-decuplet with the meson octet and the baryon octet. Our analysis for the decay widths of the anti-decuplet states suggests that the N (1710) is ruled out as a pure anti-decuplet state, but it may have anti-decuplet component in its wavefunction if the multiplet is mixed with the pentaquark octet. The recent discovery of the Θ + baryon by LEPS Collaboration at SPring-8 [1], which has been confirmed by several groups [2], initiated a lot of theoretical works in the field of exotic hadrons. Experimentally, the Θ + is observed to have a mass of 1540 MeV and a decay width of < 25 MeV. Because of its positive strangeness, the Θ + baryon is exotic since its minimal quark content should be uudds. Other states that have positive strangeness but different charges are not observed, which suggests that the Θ + is an isosinglet. The existence of such an exotic state with narrow width was first predicted by Diakonov et al. [3] in the chiral soliton model, where the Θ + is a member of the baryon anti-decuplet. Although it should be confirmed by other experiments, the recently discovered Ξ −− 3/2 baryon [4] strongly supports the anti-decuplet nature of pentaquark baryons. The discussion on the existence of a baryon anti-decuplet has a longer history going back to the early 1970's [5], and in the Skyrme model [6]. Pentaquark states with a heavy antiquark (uuddc, uuddb) were also predicted in the Skyrme model. Here an important issue is whether such nonstrange heavy pentaquark states are stable against strong decays [7,8,9,10,11]. Subsequent theoretical investigations on the Θ + include approaches based on the constituent quark model [12,13,14], Skyrme model [15,16,17,18,19], QCD sum rules [20,21], lattice QCD [22], chiral potential model [23], large N c QCD [24], and Group theory approach [25]. The production of the Θ + was also discussed in relativistic nuclear collisions [26], where the number of the anti-Θ + (1540) produced are expected to be similar to that of the Θ + (1540).Several pressing issues that should be clarified are whether the Θ + has positive or negative parity, and whether the Roper N (1710) is included in the baryon anti-decuplet with the Θ + . As for the spin-parity of the Θ + , several works claim that J P = 1 2 − is more natural [13,21,22], which, however, is in contrast to the prediction of the soliton models, where the relative orbital angular momentum plays an important role 10

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confidence: 99%

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confidence: 99%

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Properties of the baryon antidecuplet

Kim

Lee

2004

Phys. Rev. D

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“…To tackle this problem from first principles in QCD, a number of lattice studies have recently been undertaken [5][6][7][8][9][10][11][12][13][14][15][16]. These have used various local spin- 1 2 interpolating fields (either NK-type or diquark-diquark-s type), and, in the case of Ref.…”

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confidence: 99%

Spin-32pentaquark resonance signature in lattice QCD

et al. 2005

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The possible discovery of the pentaquark has motivated a number of studies of its nature using lattice QCD. While all the analyses thus far have focused on spin-1 2 states, here we report the results of the first exploratory study in quenched lattice QCD of pentaquarks with spin 3 2 . For the spin-3 2 interpolating field we use a product of the standard N and K operators. We do not find any evidence for the standard lattice resonance signature of attraction (i.e., binding at quark masses near the physical regime) in the J P 3 2 ÿ channel. Some evidence of binding is inferred in the isoscalar 3 2 channel at several quark masses, in accord with the standard lattice resonance signature. This suggests that this is a good candidate for the further study of pentaquarks on the lattice.

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“…To estimate baryon multiplets (8, 10, 10, 27, etc.) mass spectra, relevant mass differences and other baryon properties, various authors employed different types of methods and models [9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33].…”

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confidence: 99%

Skyrme model predictions for the27J=3/2mass spectrum and the273/2
Duplančić
¹
,
Pašagić
²
,
Trampetić
³

2004
Phys. Rev. D
1
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0
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The 27 J =3/2 -plet mass spectrum and the 27 3/2 -10 mass splittings are computed in the framework of the minimal SU(3) f extended Skyrme model. As functions of the Skyrme charge e and the SU(3) f symmetry breaking parameters the predictions are presented in tabular form. The predicted mass splitting 27 3/2 -10 is the smallest among all SU(3) f baryonic multiplets, confirming earlier findings. 12.39Dc, The discovery [1] of the exotic baryon Θ + , with strangeness +1 and probable spin 1/2, recently supported by the observations of Θ + in various experiments [2,3,4,5], and the discovery [6] of the exotic isospin 3/2 baryon with strangeness -2, Ξ −− 3/2 , have produced huge excitement in the high energy physics community.The Θ + -baryon mass was successfully predicted in the "model-independent" way for the first time in Ref. [7]. However, it was the prediction of the narrow width of Θ + in the chiral quark-soliton model of Ref.[8] that stimulated experimental searches. To estimate baryon multiplets (8, 10, 10, 27, etc.) mass spectra, relevant mass differences and other baryon properties, various authors employed different types of methods and models [9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33].The main aim of this Brief Report is the application of the minimal SU(3) f extended Skyrme model [13] in an attempt to predict the 27 3/2 -10 mass splitting and the 27 3/2 -plet mass spectrum. The minimally extended Skyrme model uses only one free parameter, the Skyrme charge e, and only flavor symmetry break-, and L SB denote the σ-model, Skyrme, Wess-Zumino and SB terms [34,35,36,37,38,39,40], respectively. For the profile function in L we use the arctan ansatz [41] which makes possible to evaluate relevant overlap integrals analytically. The classical soliton mass M csol receives too large a value producing an unrealistic baryonic mass spectrum. We are using it only to obtain the dimensionless size of the skyrmion x 0 by minimizing M csol (x 0 ). The dimensionless size of the skyrmion x 0 includes the dynamics of SB effects, which takes place within the skyrmion. It follows that [29

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Pentaquark hadrons from lattice QCD

Cited by 156 publications

References 21 publications

Properties of the baryon antidecuplet

Properties of the baryon antidecuplet

Spin-32pentaquark resonance signature in lattice QCD

Skyrme model predictions for the27J=3/2mass spectrum and the273/2
Duplančić
¹
,
Pašagić
²
,
Trampetić
³

2004
Phys. Rev. D
1
0
0
0
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Pentaquark hadrons from lattice QCD

Cited by 156 publications

References 21 publications

Properties of the baryon antidecuplet

Properties of the baryon antidecuplet

Spin-32pentaquark resonance signature in lattice QCD

Skyrme model predictions for the27J=3/2mass spectrum and the273/2Duplančić1, Pašagić2, Trampetić3 2004Phys. Rev. D1000View full textAdd to dashboardCite

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Skyrme model predictions for the27J=3/2mass spectrum and the273/2
Duplančić
¹
,
Pašagić
²
,
Trampetić
³

2004
Phys. Rev. D
1
0
0
0
View full text Add to dashboard Cite