Mass spectra and wave functions of the doubly heavy baryons with JP=1+ heavy diquark cores *

Qiang Li; Chao-Hsi Chang; Si-Xue Qin; Guo-Li Wang

doi:10.1088/1674-1137/44/1/013102

Journals >Chinese Physics C >Volume 44 >Issue 1 >Page > Article

Chinese Physics C
Vol. 44, Issue 1, (2020)

Mass spectra and wave functions of the doubly heavy baryons with JP=1+ heavy diquark cores *

Qiang Li^1、2、*, Chao-Hsi Chang^{1、2、3、*}, Si-Xue Qin^1、*, and Guo-Li Wang^1、*

Author Affiliations

¹Department of Physics, Chongqing University5Department of Physics, Chongqing University, Chongqing 401331, China

¹Department of Physics, Hebei University6Department of Physics, Hebei University, Baoding 071002, China

¹Institute of Theoretical Physics, Chinese Academy of Sciences2Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100190, China

¹School of Physical Science and Technology, Northwestern Polytechnical University1School of Physical Science and Technology, Northwestern Polytechnical University, Xi'an 710072, China

²Institute of Theoretical Physics, Chinese Academy of Sciences2Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100190, China

²School of Physical Sciences, University of Chinese Academy of Sciences, 19A Yuquan Road3School of Physical Sciences, University of Chinese Academy of Sciences, 19A Yuquan Road, Beijing 100049, China

³CCAST (World Laboratory)4CCAST (World Laboratory), P.O. Box 8730, Beijing 100190, China

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DOI: 10.1088/1674-1137/44/1/013102 Cite this Article

Qiang Li, Chao-Hsi Chang, Si-Xue Qin, Guo-Li Wang. Mass spectra and wave functions of the doubly heavy baryons with JP=1+ heavy diquark cores *[J]. Chinese Physics C, 2020, 44(1): Copy Citation Text

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Fig. 1. (color online) BSE of a meson and a diquark.

denotes the bound state momentum, and

, where

is the bound system mass;

and

are the quark (antiquark) momenta. The blue roman letters denote the Dirac indices.

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Fig. 2. (color online) Radial wave functions of the

diquark core with

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Fig. 3. (color online) The vertex diagram of the diquark core coupling to a gluon.

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Fig. 4. (color online) Form factor of the

diquark core coupling to a gluon.

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Fig. 5. (color online) The Bethe-Salpeter equation for a baryon based on the diquark model. The Greek (red) letters are the Lorentz indices; the Roman (blue) letters are the Dirac indices.

denote the momenta of the baryon, heavy diquark and the third light quark, respectively.

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Fig. 6. (color online) BS radial wave functions of

with the energy levels

;

and

correspond to the

and

components, and

corresponds to the

-wave;

is the number of the node plus one. Almost every state contains the

- and

-wave components.

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Fig. 7. (color online) BS radial wave functions of

with the energy levels

;

and

correspond to the

and

components,

and

correspond to the

and

-wave. Almost every baryon state contains all

and

components.

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	0.512	0.509	0.489	0.341	0.322
	0.378	0.376	0.352	0.296	0.275

Table 1. The parameter

(in GeV), for

and

mesons.

View in the Article


3.303	3.651	3.702	3.882
6.594	6.924	6.980	7.142
9.830	10.154	10.217	10.361

Table 1. Mass spectra of

color anti-triplet diquark cores

and

, in units of GeV.

View in the Article

diquark cores
	0.155	0.299	0.618
	−0.144	−0.287	−0.600

Table 2. Wave functions at the origin for the ground states of

diquark cores

and

(in GeV²).

View in the Article

baryons

baryons

Table 3. The parameter

(in GeV) determined by the spin-weighted average method.

View in the Article


1
2
3
4
1
1

Table 4. Mass spectra of the

doubly heavy baryons, in units of MeV. Symbols used to label the baryon states are:

denotes the radial quantum number of the doubly heavy diquark core inside the baryon;

the orbital angular momentum of the diquark;

the radial number of the baryon;

the baryon spin multiplicity;

the orbital angular momentum quantum number between the diquark core and the light quark; and finally

the total baryon angular momentum.

View in the Article


1
2
3
4
1
1

Table 5. Mass spectra (in MeV) of the

doubly heavy baryons.

View in the Article

This	[21]	[66,67]	[22,68]	[9]	[69]	[70]	[71]	[72]
3.601	3.610	−	3.627	3.620	3.612	3.547	3.633	3.606
3.703	3.692	−	3.690	3.727	3.706	3.719	3.696	3.675
3.710	3.738	3.712	3.692	3.778	3.702	3.648	3.732	3.715
3.814	3.822	3.788	3.756	3.872	3.783	3.770	3.802	3.772
6.931	6.959	6.945	6.933	6.933	6.919	6.904	6.948	−
6.997	6.985	6.989	6.969	6.980	6.986	6.936	6.973	−
7.033	7.032	6.994	6.984	7.088	6.986	6.994	7.047	−
7.101	7.059	7.056	−	7.130	7.046	7.017	7.066	−
10.182	10.143	−	10.162	10.202	10.197	10.185	10.169	10.138
10.214	10.178	−	10.184	10.237	10.236	10.216	10.189	10.169
10.276	10.273	−	10.208	10.359	10.260	10.271	10.259	10.230
10.309	10.308	−	−	10.389	10.297	10.289	10.268	10.258

Table 6. Comparison of the predictions of the ground state masses (in GeV) of the doubly heavy baryons. The results in the third [21] and forth [66,67] columns are from the lattice QCD calculations. Note that here

denote the

baryons with

diquark core.

Qiang Li, Chao-Hsi Chang, Si-Xue Qin, Guo-Li Wang. Mass spectra and wave functions of the doubly heavy baryons with JP=1+ heavy diquark cores *[J]. Chinese Physics C, 2020, 44(1):

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