Pion generalized parton distributions within a fully covariant constituent quark model

被引：26

作者：

Fanelli, Cristiano ^{[1
]}

Pace, Emanuele ^{[2
,3
]}

Romanelli, Giovanni ^{[4
]}

Salme, Giovanni ^{[5
]}

Salmistraro, Marco ^{[6
,7
]}

机构：

[1] MIT, Lab Nucl Sci, 77 Massachusetts Ave, Cambridge, MA 02139 USA

[2] Tor Vergata Univ, Phys Dept, Via Ric Sci 1, I-00133 Rome, Italy

[3] INFN Sez Tor Vergata, Via Ric Sci 1, I-00133 Rome, Italy

[4] Rutherford Appleton Lab, STFC, Harwell Campus, Didcot OX11 0QX, Oxon, England

[5] Ist Nazl Fis Nucl, Sez Roma, Ple A Moro 2, I-00185 Rome, Italy

[6] Univ Roma La Sapienza, Phys Dept, Ple A Moro 2, I-00185 Rome, Italy

[7] IIS G Sanctis, Via Cassia 931, I-00189 Rome, Italy

来源：

EUROPEAN PHYSICAL JOURNAL C | 2016年 / 76卷 / 05期

关键词：

TRANSVERSE SPIN STRUCTURE; FRONT-FORM DYNAMICS; QUANTUM CHROMODYNAMICS; HADRON STRUCTURE; VALENCE REGION; LATTICE QCD; SCATTERING; EVOLUTION; SCHEME; ENERGY;

D O I：

10.1140/epjc/s10052-016-4101-1

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

We extend the investigation of the generalized parton distribution for a charged pion within a fully covariant constituent quark model, in two respects: (1) calculating the tensor distribution and (2) adding the treatment of the evolution, needed for achieving a meaningful comparison with both the experimental parton distribution and the lattice evaluation of the so-called generalized form factors. Distinct features of our phenomenological covariant quarkmodel are: (1) a 4D Ansatz for the pion Bethe-Salpeter amplitude, to be used in the Mandelstam formula for matrix elements of the relevant current operators, and (2) only two parameters, namely a quark mass assumed to be m(q) = 220 MeV and a free parameter fixed through the value of the pion decay constant. The possibility of increasing the dynamical content of our covariant constituent quark model is briefly discussed in the context of the Nakanishi integral representation of the Bethe-Salpeter amplitude.

引用

页数：19

共 23 条

[21] Parton-distribution functions for the pion and kaon in the gauge-invariant nonlocal chiral-quark model
Nam, Seung-il
PHYSICAL REVIEW D, 2012, 86 (07):
[22] Kaon generalized parton distributions and light-front wave functions in the Nambu-Jona-Lasinio model
Zhang, Jin-Li
Ping, Jia-Lun
EUROPEAN PHYSICAL JOURNAL C, 2021, 81 (09):
[23] Photon-pion transition form factor at high photon virtualities within the nonlocal chiral quark model
Dorokhov, A. E.
JETP LETTERS, 2010, 92 (10) : 707 - 719

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