I=1 heavy-light tetraquarks and the (mS)(nS) puzzleFrancisco FernndezInstituto de Fsica Fundamental y MatemticasUniversity of Salamanca

Multiquark structures in heavy-light meson systemsMeson structure is a few-body problem

Outline Motivations the modelDsJ mesons The (mS)(nS) puzzle

Motivations

Why four quarks configuration?J=0+,1+L=0L=1P( s )=-1

Open charm sector

the model

Constituent Quark ModelGeneralization to heavy flavours of the original SU(2)F model developed in J. Phys. G19 2013 (1993)Basic ingredientsChiral symmetry is spontaneously broken at some momentum scale provinding a constituent quark mass M(q2) for the ligth quarks

As a consecuence light constituent quarks exchange Goldstone bosons

Both light and heavy quarks interacts besides by gluon exchange

Finally both type of quarks are confined by a two body linear potential screened at large distancies due to pair creationDetails can be found in J. of Phys. G: Nucl. Part Phys. 31 1-26

Constituent Quark ModelN-N interactionF. Fernndez, A. Valcarce, U. Straub, A. Faessler. J. Phys. G19, 2013 (1993)A. Valcarce, A. Faessler, F. Fernndez. Physics Letters B345, 367 (1995)D.R. Entem, F. Fernndez, A. Valcarce. Phys. Rev. C62 034002 (2000)B. Juli-Diaz, J. Haidenbauer, A. Valcarce, and F. Fernndez. Physical Review C 65, 034001, (2002)Baryon spectrumH. Garcilazo, A. Valcarce, F. Fernndez. Phys. Rev. C 64, 058201, (2001)H. Garcilazo, A. Valcarce, F. Fernndez. Phys. Rev. C 63, 035207 (2001)Meson spectrum.L.A. Blanco, F. Fernndez, A. Valcarce. Phys. Rev. C59, 428 (1999)J. Vijande, F. Fernndez, A. Valcarce. J. Phys. G31, (2005)

http://web.usal.es/~gfn/menu_i.htm

DeuteronNN phase shiftsTriton

qq system

Constituent Quark ModelLigth quarksHeavy quarks

Meson spectra (I)Light I=1

Meson spectra (II)Light I=0

Meson spectra (III)Kaons

Meson spectra (IV)Charmonium

Meson spectra (VI)Bottomonium

Numerical techniquesxyzThe two-body problem is solved using the Numerov algorithm. The four-body problem (two particles and two antiparticles) is solved by means of a variational method.

Three main difficulties: Non-trivial color structure. Symmetry properties in the radial wave function (Pauli Principle) Two- and four-body mixing.r+

Four-Body formalismWe expand the radial wave function in terms of generalized gaussians withWell defined permutation properties (SS, AA, AS, SA). L= 0 (relative angular momenta li 0) Positive paritySymmetry properties in the radial wave function (Pauli Principle)

Four-Body configurations. Tetraquarks structures

Two color singlets with different symmetry.

We solve the tetraquark system using a variational methodexpanding the radial part of the wave function in terms of generalized gaussian (GG) defined as:The radial wave function defined in this way has L=0

But each generalized gaussian contains an infinite number of relative angular momentum.

Four-Body configurations.

DsJ mesons

DSJ*(2317)BaBar: PRL 90, 242001 (2003)Narrow peak in DS0. JP=0+ I=0 favored.

Width consistent with the detector resolution, less than 10 MeV.

Mass near 2317 MeV, 40 MeV below DK threshold.

DSJ (2460)Narrow peak in D*S0, and also observed in DS. JP=1+ favored.

Width consistent with the detector resolution, less than 8 MeV.

Mass close to 2460 MeV, below D*K threshold.CLEO: PRD 68, 032002 (2003)

Open charm sector

The (mS)(nS) puzzle

Isolate resonances ?They exist?I=1 Heavy light tetraquarks

(mS)(nS)

(1S) 9,460 GeV.(2S) 10,023 GeV(3S) 10,335 GeV.(4S) 10,580 GeV.

(2S) (1S)(3S) (1S)(3S) (2S)

Guo et al NPA 761 269mX=10.08 GeV.

hep-ph/0601120

SUMMARY We have analyzed the meson spectra using two- and four-quark states within a model which has also been applied to the NN interaction and the hadron phenomenology.

We have observed that to describe the open-charmed heavy-light meson sector (D and DS) it is necessary to go beyond the conventional quark-antiquark models including other components, as for instance four quark components.

We have shown that they are several indication of isolated I=1 tetraquark resonancesJ. Vijande, A. Valcarce University of Salamanca

End

Dipion Transitions in cc_CLEO-c Y(4260) J

BaBar X(3872) J

CLEO-c (3770) J

BES (3682) J

(3682)(3770)X(3872)Y(4260)compare withhep-ex/0602034

PRD 71 (2005) 071103

PRL 96(2006) 082004

hep-ex/9909038

FPCP 2006

MotivationsMost of the mesons fits nicely in a pattern where they have quantum numbers of quark-antiquark bound states.However this simple and succesfull picture is difficult to apply to the J=0+ scalar meson sector. Apparently scalar are different

Diapositiva 4.

SIMULTANEIDAD

This model has been able to describe the NN interaction (NN phase shifts and deuteron phenomenology), the triton binding energy, baryon spectroscopy and meson spectroscopy and decays.Diapositiva 4.

SIMULTANEIDAD

This model has been able to describe the NN interaction (NN phase shifts and deuteron phenomenology), the triton binding energy, baryon spectroscopy and meson spectroscopy and decays.En lo que respecta a las interaccionesDecir como ajustamos alfa_sTMAO FISICO DEL SISTEMA y r_0 dependiente del sistema como veremos mas adelantea) Por debajo de 1.4 el unico que se sale de la tonica son la omega y el h_1, las excitaciones de la omega estan bien, pero las de la h_1 no, lo qu eimplica que puede haber un efecto globala) Decir que se mantiene la calidad de la descripcionLos parametros vienen del sector ligero, no hay libertad en ellos.a) Hecharle la culpa a otros y decir lo buenos que somosDiapositiva 2.

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