Laplace method for the evolution of the fragmentation function of B<sub>csub> mesons

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• 作者：G.R. Boroun<sup>asup><sup> ; sup><sup>grboroun@gmail.com" class="auth_mail" title="E-mail the corresponding authorsup><sup> ; sup><sup>boroun@razi.ac.ir" class="auth_mail" title="E-mail the corresponding authorsup> ; S. Zarrin<sup>asup> ; S. Dadfar<sup>bsup>
• 关键词：Laplace method ; Fragmentation function ; BcBc mesons ; Cross section
• 刊名：Nuclear Physics A
• 出版年：2016
• 出版时间：September 2016
• 年：2016
• 卷：953
• 期：Complete
• 页码：21-31
• 全文大小：506 K

文摘

In high-energy processes, the predominant mechanism for <span id="mmlsi1" class="mathmlsrc">source" class="mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0375947416300185&_mathId=si1.gif&_user=111111111&_pii=S0375947416300185&_rdoc=1&_issn=03759474&md5=c25d0e2cc1bd23b4a18d016772c813b6">ss="imgLazyJSB inlineImage" height="15" width="18" alt="View the MathML source" style="margin-top: -5px; vertical-align: middle" title="View the MathML source" src="/sd/grey_pxl.gif" data-inlimgeid="1-s2.0-S0375947416300185-si1.gif">script>style="vertical-align:bottom" width="18" alt="View the MathML source" title="View the MathML source" src="http://origin-ars.els-cdn.com/content/image/1-s2.0-S0375947416300185-si1.gif">script><span class="mathContainer hidden"><span class="mathCode">scroll">bstretchy="false">¯cspan>span>span> bound states is the production of a high-energy <span id="mmlsi2" class="mathmlsrc">source" class="mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0375947416300185&_mathId=si2.gif&_user=111111111&_pii=S0375947416300185&_rdoc=1&_issn=03759474&md5=2e1b5627871b09437233137677c13ddf">ss="imgLazyJSB inlineImage" height="15" width="10" alt="View the MathML source" style="margin-top: -5px; vertical-align: middle" title="View the MathML source" src="/sd/grey_pxl.gif" data-inlimgeid="1-s2.0-S0375947416300185-si2.gif">script>style="vertical-align:bottom" width="10" alt="View the MathML source" title="View the MathML source" src="http://origin-ars.els-cdn.com/content/image/1-s2.0-S0375947416300185-si2.gif">script><span class="mathContainer hidden"><span class="mathCode">scroll">bstretchy="false">¯span>span>span> or c   quark, which fragments into the <span id="mmlsi1" class="mathmlsrc">source" class="mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0375947416300185&_mathId=si1.gif&_user=111111111&_pii=S0375947416300185&_rdoc=1&_issn=03759474&md5=c25d0e2cc1bd23b4a18d016772c813b6">ss="imgLazyJSB inlineImage" height="15" width="18" alt="View the MathML source" style="margin-top: -5px; vertical-align: middle" title="View the MathML source" src="/sd/grey_pxl.gif" data-inlimgeid="1-s2.0-S0375947416300185-si1.gif">script>style="vertical-align:bottom" width="18" alt="View the MathML source" title="View the MathML source" src="http://origin-ars.els-cdn.com/content/image/1-s2.0-S0375947416300185-si1.gif">script><span class="mathContainer hidden"><span class="mathCode">scroll">bstretchy="false">¯cspan>span>span> state. An approximate approach for the evolution of the fragmentation functions for the production of the S-wave states of <span id="mmlsi3" class="mathmlsrc"><span class="formulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0375947416300185&_mathId=si3.gif&_user=111111111&_pii=S0375947416300185&_rdoc=1&_issn=03759474&md5=ffa3daafd45082a58977c4de59780536" title="Click to view the MathML source">B<sub>csub>span><span class="mathContainer hidden"><span class="mathCode">scroll">sub>Bcsub>span>span>span> and <span id="mmlsi13" class="mathmlsrc">source" class="mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0375947416300185&_mathId=si13.gif&_user=111111111&_pii=S0375947416300185&_rdoc=1&_issn=03759474&md5=02321f5f662c6c0dfb2cc8434e476de7">ss="imgLazyJSB inlineImage" height="17" width="19" alt="View the MathML source" title="View the MathML source" src="/sd/grey_pxl.gif" data-inlimgeid="1-s2.0-S0375947416300185-si13.gif">script>style="vertical-align:bottom" width="19" alt="View the MathML source" title="View the MathML source" src="http://origin-ars.els-cdn.com/content/image/1-s2.0-S0375947416300185-si13.gif">script><span class="mathContainer hidden"><span class="mathCode">scroll">subsup>Bc⁎subsup>span>span>span> is presented using Laplace transform technique in the leading order (LO) and next-to-leading order (NLO) analyses. The cross sections, as a function of the transverse momentum for the direct hadro-production <span id="mmlsi111" class="mathmlsrc">source" class="mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0375947416300185&_mathId=si111.gif&_user=111111111&_pii=S0375947416300185&_rdoc=1&_issn=03759474&md5=ada11616d44dfd4b5cba87f3ce562308">ss="imgLazyJSB inlineImage" height="18" width="71" alt="View the MathML source" title="View the MathML source" src="/sd/grey_pxl.gif" data-inlimgeid="1-s2.0-S0375947416300185-si111.gif">script>style="vertical-align:bottom" width="71" alt="View the MathML source" title="View the MathML source" src="http://origin-ars.els-cdn.com/content/image/1-s2.0-S0375947416300185-si111.gif">script><span class="mathContainer hidden"><span class="mathCode">scroll">bstretchy="false">¯stretchy="false">(cstretchy="false">)stretchy="false">→sub>Bcsub>span>span>span> and <span id="mmlsi112" class="mathmlsrc">source" class="mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0375947416300185&_mathId=si112.gif&_user=111111111&_pii=S0375947416300185&_rdoc=1&_issn=03759474&md5=c00481e216520173e898f8038ca59655">ss="imgLazyJSB inlineImage" height="19" width="72" alt="View the MathML source" title="View the MathML source" src="/sd/grey_pxl.gif" data-inlimgeid="1-s2.0-S0375947416300185-si112.gif">script>style="vertical-align:bottom" width="72" alt="View the MathML source" title="View the MathML source" src="http://origin-ars.els-cdn.com/content/image/1-s2.0-S0375947416300185-si112.gif">script><span class="mathContainer hidden"><span class="mathCode">scroll">bstretchy="false">¯stretchy="false">(cstretchy="false">)stretchy="false">→subsup>Bc⁎subsup>span>span>span> based on the nonrelativistic quantum chromodynamics (QCD) factorization, are determined and compared with the Large Hadron Collider (LHC) and Tevatron data at the 1S-wave state.