Kinetic energy flow tensor of Gyulassy et al and associated shape variables.

This global variable class implements the kinetic energy flow tensor of M. Gyulassy et al., Phys. Lett. 110B(1982)185:

\[ F_{ij}=\sum_{\nu=1}^{N}w_{\nu}p_{i}(\nu)p_{j}(\nu) \]

which is built from the components of the momenta of reaction products in each event.

Available Options

Option Name	Option type	Function
"weight"	string	Determine weight $w_{\nu}$
"DOUBLE"	any	Double weight of all particles

Weight options

With the weight $w=1$, this expression gives the sphericity tensor. Such a tensor is not appropriate for analysing collisions in which composite fragments are produced.

To correctly weight composite fragments, Gyulassy et al. proposed to use the weight

\[ w_{\nu}=(2m_{\nu})^{-1} \]

in which case $F$ becomes the (non-relativistic) kinetic energy flow tensor ( $\mathrm{Tr} F$ is the total non-relativistic kinetic energy of the products). This is the default weight used.

To change the weight, call method SetOption("weight","[your choice]") with one of the following choices:

Option	Name	Weight
"NRKE" [default]	non-relativistic KE tensor	$w_{\nu}=(2m_{\nu})^{-1}$
"RKE"	relativistic KE tensor	$w_{\nu}={1 \over {m_{\nu}(\gamma_{\nu}+1)}}$
"ONE","1",""	sphericity tensor	$w=1$

The user must define the frame in which to calculate the tensor with SetFrame(): if not, the default frame used is "CM".

We remind the user also that attempting shape analysis for events where a large proportion of reaction products have not been detected is meaningless: some kind of completeness criterion should be applied to the analysed events.

Derived shape variables and related values

Diagonalisation of the tensor gives three eignevectors $\vec{e_1},\vec{e_2},\vec{e_3}$ and three (normalized) eigenvalues $\lambda_1\geq\lambda_2\geq\lambda_3$. Variables describing the shape/orientation of the event can then be obtained either by name or by index as in the following table:

Name	Index	Definition
"FlowAngle"	KVFlowTensor::kFlowAngle	polar angle of $\vec{e_1}$
"Sphericity"	KVFlowTensor::kSphericity	$\frac{3}{2}(1-\lambda_1)$
"Coplanarity"	KVFlowTensor::kCoplanarity	$\frac{\sqrt{3}}{2}(\lambda_2-\lambda_3)$
"NumberParts"	KVFlowTensor::kNumberParts	number of particles used in tensor
"KinFlowRatio13"	KVFlowTensor::kKinFlowRatio13	$\sqrt{\frac{\lambda_1}{\lambda_3}}$
"KinFlowRatio23"	KVFlowTensor::kKinFlowRatio23	$\sqrt{\frac{\lambda_2}{\lambda_3}}$
"PhiReacPlane"	KVFlowTensor::kPhiReacPlane	$\phi$ angle of $\vec{e_1}$
"SqueezeAngle"	KVFlowTensor::kSqueezeAngle	see Gyulassy et al
"SqueezeRatio"	KVFlowTensor::kSqueezeRatio	see Gyulassy et al

Author: John Frankland (GANIL)

Date: Tue Jun 30 12:41:37 2015

Examples: ExampleINDRAAnalysis.cpp.

Definition at line 77 of file KVFlowTensor.h.

Public Types
enum	{ kFlowAngle , kSphericity , kCoplanarity , kNumberParts , kKinFlowRatio13 , kKinFlowRatio23 , kPhiReacPlane , kSqueezeAngle , kSqueezeRatio }

Public Types inherited from KVVarGlob
enum	{ kOneBody , kTwoBody , kNBody }

Public Types inherited from KVBase
enum	EKaliVedaBits { kIsKaliVedaObject = BIT(23) }

Public Types inherited from TObject
enum	EDeprecatedStatusBits

enum	EStatusBits

Public Member Functions
	KVFlowTensor ()
	Default constructor. More...

	KVFlowTensor (const Char_t *nom)
	Constructor with a name for the global variable. More...

	KVFlowTensor (const KVFlowTensor &a)
	Copy constructor. More...

virtual	~KVFlowTensor (void)
	Destructor. More...

void	Calculate ()
	Calculate eigenvalues & eigenvectors of tensor. More...

virtual void	Copy (TObject &obj) const
	Copy properties of 'this' object into the KVVarGlob object referenced by 'a'. More...

void	fill (const KVNucleus *n)

const TRotation &	GetAziReacPlaneRotation () const

const TRotation &	GetFlowReacPlaneRotation () const

Double_t	GetNormalisedEigenValue (Int_t i)

Char_t	GetValueType (Int_t i) const

Bool_t	HasNaNElements () const

virtual void	Init ()
	Initialisation of internal variables, called once before beginning treatment. More...

KVFlowTensor &	operator+= (const KVFlowTensor &other)

KVFlowTensor &	operator= (const KVFlowTensor &a)
	Operateur =. More...

void	Print (Option_t *="") const
	if opt="tensor", just print contents of tensor More...

virtual void	Reset ()
	Reset internal variables, called before treatment of each event. More...

Public Member Functions inherited from KVVarGlob
	KVVarGlob ()

	KVVarGlob (const Char_t *nom)

virtual	~KVVarGlob (void)

void	AddSelection (const KVParticleCondition &sel)

Double_t	AsDouble () const

void	Copy (TObject &obj) const
	Make a copy of this object. More...

void	DefineNewFrame (KVEvent *e) const

void	Fill (const KVNucleus *c)

void	Fill2 (const KVNucleus n1, const KVNucleus n2)

virtual void	FillN (const KVEvent *)

const TString &	GetFrame () const

Int_t	GetNameIndex (const Char_t *name) const

Double_t	GetNormalization () const

Int_t	GetNumberOfBranches () const

virtual Int_t	GetNumberOfValues () const

TString	GetOptionString (const Char_t *opt) const

Double_t	GetParameter (const Char_t *par) const

Double_t	GetValue (const Char_t *name) const

Double_t	GetValue (Int_t i) const

Double_t	GetValue (void) const

virtual TString	GetValueName (Int_t i) const

virtual std::vector< Double_t >	GetValueVector (void) const

virtual Bool_t	IsGlobalVariable () const

Bool_t	IsNBody () const

Bool_t	IsOneBody () const

Bool_t	IsOptionGiven (const Char_t *opt)

Bool_t	IsParameterSet (const Char_t *par)

Bool_t	IsTwoBody () const

void	ListInit ()

	operator double () const

Double_t	operator() (const Char_t *name) const

Double_t	operator() (Int_t i) const

Double_t	operator() (void) const

void	Print (Option_t *="") const

void	SetEventSelection (const EventSelector &f)

void	SetFrame (const Char_t *ref)

void	SetMaxNumBranches (Int_t n)

void	SetNewFrameDefinition (const FrameSetter &f)

void	SetNormalization (Double_t norm)

void	SetOption (const Char_t option, const Char_t value)

void	SetParameter (const Char_t *par, Double_t value)

void	SetSelection (const KVParticleCondition &sel)

bool	TestEventSelection () const

void	UnsetOption (const Char_t *opt)

void	UnsetParameter (const Char_t *par)

Public Member Functions inherited from KVBase
	KVBase ()
	Default constructor. More...

	KVBase (const Char_t name, const Char_t title="")
	Ctor for object with given name and type. More...

	KVBase (const KVBase &)
	copy ctor More...

virtual	~ KVBase ()

virtual void	Clear (Option_t *opt="")
	Clear object properties : name, type/title, number, label. More...

const Char_t *	GetLabel () const

UInt_t	GetNumber () const

UInt_t	GetNumberOfObjects () const

virtual TObject *	GetObject () const

const Char_t *	GetType () const

Bool_t	HasLabel () const

virtual Bool_t	IsCalled (const Char_t *name) const

Bool_t	IsLabelled (const Char_t *l) const

virtual Bool_t	IsType (const Char_t *typ) const

virtual void	List ()

KVBase &	operator= (const KVBase &)
	copy assignment operator More...

Double_t	ProtectedGetX (const TF1 *func, Double_t val, int &status, Double_t xmin=0.0, Double_t xmax=0.0) const

void	SetLabel (const Char_t *lab)

virtual void	SetNumber (UInt_t num)

virtual void	SetType (const Char_t *str)

Public Member Functions inherited from TNamed
	TNamed ()

	TNamed (const char name, const char title)

	TNamed (const TNamed &named)

	TNamed (const TString &name, const TString &title)

virtual	~TNamed ()

virtual TObject *	Clone (const char *newname="") const

virtual Int_t	Compare (const TObject *obj) const

virtual void	FillBuffer (char *&buffer)

virtual const char *	GetName () const

virtual const char *	GetTitle () const

virtual ULong_t	Hash () const

virtual Bool_t	IsSortable () const

virtual void	ls (Option_t *option="") const

TNamed &	operator= (const TNamed &rhs)

virtual void	SetName (const char *name)

virtual void	SetNameTitle (const char name, const char title)

virtual void	SetTitle (const char *title="")

virtual Int_t	Sizeof () const

Public Member Functions inherited from TObject
	TObject ()

	TObject (const TObject &object)

virtual	~TObject ()

void	AbstractMethod (const char *method) const

virtual void	AppendPad (Option_t *option="")

virtual void	Browse (TBrowser *b)

ULong_t	CheckedHash ()

virtual const char *	ClassName () const

virtual void	Delete (Option_t *option="")

virtual Int_t	DistancetoPrimitive (Int_t px, Int_t py)

virtual void	Draw (Option_t *option="")

virtual void	DrawClass () const

virtual TObject *	DrawClone (Option_t *option="") const

virtual void	Dump () const

virtual void	Error (const char method, const char msgfmt,...) const

virtual void	Execute (const char method, const char params, Int_t *error=0)

virtual void	Execute (TMethod method, TObjArray params, Int_t *error=0)

virtual void	ExecuteEvent (Int_t event, Int_t px, Int_t py)

virtual void	Fatal (const char method, const char msgfmt,...) const

virtual TObject *	FindObject (const char *name) const

virtual TObject *	FindObject (const TObject *obj) const

virtual Option_t *	GetDrawOption () const

virtual const char *	GetIconName () const

virtual char *	GetObjectInfo (Int_t px, Int_t py) const

virtual Option_t *	GetOption () const

virtual UInt_t	GetUniqueID () const

virtual Bool_t	HandleTimer (TTimer *timer)

Bool_t	HasInconsistentHash () const

virtual void	Info (const char method, const char msgfmt,...) const

virtual Bool_t	InheritsFrom (const char *classname) const

virtual Bool_t	InheritsFrom (const TClass *cl) const

virtual void	Inspect () const

void	InvertBit (UInt_t f)

virtual Bool_t	IsEqual (const TObject *obj) const

virtual Bool_t	IsFolder () const

R__ALWAYS_INLINE Bool_t	IsOnHeap () const

R__ALWAYS_INLINE Bool_t	IsZombie () const

void	MayNotUse (const char *method) const

virtual Bool_t	Notify ()

void	Obsolete (const char method, const char asOfVers, const char *removedFromVers) const

void	operator delete (void *ptr)

void	operator delete[] (void *ptr)

void *	operator new (size_t sz)

void *	operator new (size_t sz, void *vp)

void *	operator new[] (size_t sz)

void *	operator new[] (size_t sz, void *vp)

TObject &	operator= (const TObject &rhs)

virtual void	Paint (Option_t *option="")

virtual void	Pop ()

virtual Int_t	Read (const char *name)

virtual void	RecursiveRemove (TObject *obj)

void	ResetBit (UInt_t f)

virtual void	SaveAs (const char filename="", Option_t option="") const

virtual void	SavePrimitive (std::ostream &out, Option_t *option="")

void	SetBit (UInt_t f)

void	SetBit (UInt_t f, Bool_t set)

virtual void	SetDrawOption (Option_t *option="")

virtual void	SetUniqueID (UInt_t uid)

virtual void	SysError (const char method, const char msgfmt,...) const

R__ALWAYS_INLINE Bool_t	TestBit (UInt_t f) const

Int_t	TestBits (UInt_t f) const

virtual void	UseCurrentStyle ()

virtual void	Warning (const char method, const char msgfmt,...) const

virtual Int_t	Write (const char *name=0, Int_t option=0, Int_t bufsize=0)

virtual Int_t	Write (const char *name=0, Int_t option=0, Int_t bufsize=0) const

Protected Member Functions
Double_t	getvalue_int (Int_t) const

Protected Member Functions inherited from KVVarGlob
void	ClearNameIndex ()

virtual void	fill2 (const KVNucleus , const KVNucleus )

int	GetIndexAtListPosition (int pos) const

TString	GetNameAtListPosition (int pos) const

KVNameValueList &	GetParameters ()

const KVNameValueList &	GetParameters () const

virtual Double_t	getvalue_char (const Char_t *name) const

virtual Double_t	getvalue_void () const

void	SetNameIndex (const Char_t *name, Int_t index)

Protected Member Functions inherited from TObject
virtual void	DoError (int level, const char location, const char fmt, va_list va) const

void	MakeZombie ()

Private Types
enum	{ kONE , kNRKE , kRKE }

Private Member Functions
const TVector3 &	e (int i) const

Double_t	f (int i) const

void	init_KVFlowTensor ()

Private Attributes
TRotation	fAziReacPlane
	azimuthal rotation around beam axis to reaction plane More...

Bool_t	fCalculated

Double_t	fCoplanarity

TVectorD	fEVal
	the 3 eigenvalues More...

TVector3	fEVec [3]
	the 3 eigenvectors More...

TRotation	fFlowReacPlane
	rotate XZ to reaction plane, then align Z with flow axis More...

Int_t	fNParts
	number of particles included in tensor More...

Double_t	fSphericity

Double_t	fSqOutRatio
	Gutbrod squeeze-out ratio. More...

Double_t	fSqueezeAngle
	Gutbrod squeeze angle. More...

TMatrixDSym	fTensor
	the tensor More...

Double_t	sum_val_prop

enum KVFlowTensor:: { ... }	weight

Additional Inherited Members
Static Public Member Functions inherited from KVVarGlob
static void	MakeClass (const Char_t classname, const Char_t classdesc, int type=kOneBody)

Static Public Member Functions inherited from KVBase
static Bool_t	AreEqual (Double_t x, Double_t y, Long64_t maxdif=1)
	Comparison between two 64-bit floating-point values. More...

static void	BackupFileWithDate (const Char_t *path)

static void	CombineFiles (const Char_t file1, const Char_t file2, const Char_t *newfilename, Bool_t keep=kTRUE)

static void	Deprecated (const char method, const char advice)

static Bool_t	FindClassSourceFiles (const Char_t class_name, KVString &imp_file, KVString &dec_file, const Char_t dir_name=".")

static Bool_t	FindExecutable (TString &exec, const Char_t *path="$(PATH)")

static const Char_t *	FindFile (const Char_t *search, TString &wfil)

static const Char_t *	GetBINDIRFilePath (const Char_t *namefile="")

static const Char_t *	GetDATABASEFilePath ()

static const Char_t *	GetDATADIRFilePath (const Char_t *namefile="")

static Bool_t	GetDataSetEnv (const Char_t dataset, const Char_t type, Bool_t defval)

static const Char_t *	GetDataSetEnv (const Char_t dataset, const Char_t type, const Char_t *defval)

static Double_t	GetDataSetEnv (const Char_t dataset, const Char_t type, Double_t defval)

static const Char_t *	GetETCDIRFilePath (const Char_t *namefile="")

static const Char_t *	GetExampleFilePath (const Char_t library, const Char_t namefile)
	Return full path to example file for given library (="KVMultiDet", "BackTrack", etc.) More...

static const Char_t *	GetINCDIRFilePath (const Char_t *namefile="")

static const Char_t *	GetKVBuildDate ()
	Returns KaliVeda build date. More...

static const Char_t *	GetKVBuildDir ()
	Returns top-level directory used for build. More...

static const Char_t *	GetKVBuildTime ()
	Returns KaliVeda build date. More...

static const Char_t *	GetKVBuildType ()
	Returns KaliVeda build type (cmake build: Release, Debug, RelWithDebInfo, ...) More...

static const Char_t *	GetKVBuildUser ()
	Returns username of person who performed build. More...

static const Char_t *	GetKVSourceDir ()
	Returns top-level directory of source tree used for build. More...

static const Char_t *	GetKVVersion ()
	Returns KaliVeda version string. More...

static const Char_t *	GetLIBDIRFilePath (const Char_t *namefile="")

static const Char_t *	GetListOfPlugins (const Char_t *base)

static const Char_t *	GetListOfPluginURIs (const Char_t *base)

static const Char_t *	GetPluginURI (const Char_t base, const Char_t plugin)

static void	GetTempFileName (TString &base)

static const Char_t *	GetTEMPLATEDIRFilePath (const Char_t *namefile="")

static const Char_t *	GetWORKDIRFilePath (const Char_t *namefile="")

static const Char_t *	gitBranch ()
	Returns git branch of sources. More...

static const Char_t *	gitCommit ()
	Returns last git commit of sources. More...

static void	InitEnvironment ()

static bool	is_gnuinstall ()

static Bool_t	IsThisAPlugin (const TString &uri, TString &base)

static TPluginHandler *	LoadPlugin (const Char_t base, const Char_t uri="0")

static Bool_t	OpenContextMenu (const char method, TObject obj, const char *alt_method_name="")

static void	OpenTempFile (TString &base, std::ofstream &fp)

static void	PrintSplashScreen ()
	Prints welcome message and infos on version etc. More...

static Bool_t	SearchAndOpenKVFile (const Char_t name, std::ifstream &file, const Char_t kvsubdir="", KVLockfile *locks=0)

static Bool_t	SearchAndOpenKVFile (const Char_t name, std::ofstream &file, const Char_t kvsubdir="", KVLockfile *locks=0)

static Bool_t	SearchKVFile (const Char_t name, TString &fullpath, const Char_t kvsubdir="")

static const Char_t *	WorkingDirectory ()

Static Public Member Functions inherited from TObject
static Longptr_t	GetDtorOnly ()

static Bool_t	GetObjectStat ()

static void	SetDtorOnly (void *obj)

static void	SetObjectStat (Bool_t stat)

Public Attributes inherited from TObject
	kBitMask

	kCanDelete

	kCannotPick

	kHasUUID

	kInconsistent

	kInvalidObject

	kIsOnHeap

	kIsReferenced

	kMustCleanup

	kNoContextMenu

	kNotDeleted

	kObjInCanvas

	kOverwrite

	kSingleKey

	kWriteDelete

	kZombie

Static Protected Member Functions inherited from KVVarGlob
static void	AddFillMethod (KVClassFactory &cf, int type)

static void	AddFillMethodBody (KVClassFactory &cf, KVString &body, int type)

static void	AddInitMethod (KVClassFactory &cf, KVString &body)

static void	FillMethodBody (KVString &body, int type)

static void	ImplementInitMethod (KVClassFactory &cf, KVString &body, int type)

Protected Attributes inherited from KVVarGlob
Int_t	fType
	type of variable global; = kOneBody, kTwoBody or kNBody More...

Char_t	fValueType
	type (='I' integer or 'D' double) of global variable value More...

Protected Attributes inherited from KVBase
TString	fLabel
	label for the object More...

Protected Attributes inherited from TNamed
TString	fName

TString	fTitle

Protected Attributes inherited from TObject
	kOnlyPrepStep

#include <KVFlowTensor.h>

Inheritance diagram for KVFlowTensor:

[legend]

Member Enumeration Documentation

◆ anonymous enum

anonymous enum

private

Enumerator
kONE
kNRKE
kRKE

Definition at line 80 of file KVFlowTensor.h.

◆ anonymous enum

anonymous enum

Enumerator
kFlowAngle
kSphericity
kCoplanarity
kNumberParts
kKinFlowRatio13
kKinFlowRatio23
kPhiReacPlane
kSqueezeAngle
kSqueezeRatio

Definition at line 109 of file KVFlowTensor.h.

Constructor & Destructor Documentation

◆ KVFlowTensor() [1/3]

KVFlowTensor::KVFlowTensor ( void )

Default constructor.

Definition at line 15 of file KVFlowTensor.cpp.

◆ KVFlowTensor() [2/3]

KVFlowTensor::KVFlowTensor ( const Char_t * nom )

Constructor with a name for the global variable.

Definition at line 28 of file KVFlowTensor.cpp.

◆ KVFlowTensor() [3/3]

KVFlowTensor::KVFlowTensor ( const KVFlowTensor & a )

Copy constructor.

Definition at line 39 of file KVFlowTensor.cpp.

◆ ~KVFlowTensor()

KVFlowTensor::~KVFlowTensor ( void )

virtual

Destructor.

Definition at line 50 of file KVFlowTensor.cpp.

Member Function Documentation

◆ Calculate()

void KVFlowTensor::Calculate ( void )

virtual

Calculate eigenvalues & eigenvectors of tensor.

Implements KVVarGlob.

Definition at line 207 of file KVFlowTensor.cpp.

◆ Copy()

void KVFlowTensor::Copy ( TObject & obj ) const

virtual

Copy properties of 'this' object into the KVVarGlob object referenced by 'a'.

Reimplemented from KVBase.

Definition at line 60 of file KVFlowTensor.cpp.

◆ e()

const TVector3& KVFlowTensor::e ( int i ) const

inlineprivate

Definition at line 91 of file KVFlowTensor.h.

◆ f()

Double_t KVFlowTensor::f ( int i ) const

inlineprivate

Definition at line 87 of file KVFlowTensor.h.

◆ fill()

void KVFlowTensor::fill ( const KVNucleus * n )

virtual

Fill tensor components with nucleus' momentum components using the required weight

If option "DOUBLE" is set, the chosen weight will be doubled (this is for the case where e.g. only forward hemisphere particles are included)

Reimplemented from KVVarGlob.

Definition at line 342 of file KVFlowTensor.cpp.

◆ GetAziReacPlaneRotation()

const TRotation & KVFlowTensor::GetAziReacPlaneRotation ( ) const

Returns the azimuthal rotation around the beam axis required to put the $x$-axis in the reaction plane defined by the beam axis and the major axis (largest eigenvalue) of the ellipsoid.

The azimuthal angle of the rotation is that of the major axis in the forward direction.

Note that this rotation applies to whatever frame was used to calculate the tensor (default: "CM")

Definition at line 386 of file KVFlowTensor.cpp.

◆ GetFlowReacPlaneRotation()

const TRotation & KVFlowTensor::GetFlowReacPlaneRotation ( ) const

Returns composition of two rotations:

around $z$-axis to put $x$-axis in reaction plane (see GetAziReacPlaneRotation())
around $y$-axis to align $z$-axis with flow (major) axis

In this rotated frame, $\theta$ is polar angle with respect to flow axis and $\phi$ is azimuthal angle around flow axis ( $\phi$=0,180 => in-plane)

Note that this rotation applies to whatever frame was used to calculate the tensor (default: "CM")

Definition at line 414 of file KVFlowTensor.cpp.

◆ GetNormalisedEigenValue()

Double_t KVFlowTensor::GetNormalisedEigenValue ( Int_t i )

inline

Return normalised eigenvalues

Parameters

[in] i index=1,2,3 (i=1 is largest eigenvalue)

Definition at line 151 of file KVFlowTensor.h.

◆ getvalue_int()

Double_t KVFlowTensor::getvalue_int ( Int_t index ) const

protectedvirtual

Parameters

index one of the following values:

Name	Index	Definition
"FlowAngle"	KVFlowTensor::kFlowAngle	polar angle of $\vec{e_1}$
"Sphericity"	KVFlowTensor::kSphericity	$\frac{3}{2}(1-\lambda_1)$
"Coplanarity"	KVFlowTensor::kCoplanarity	$\frac{\sqrt{3}}{2}(\lambda_2-\lambda_3)$
"KinFlowRatio13"	KVFlowTensor::kKinFlowRatio13	$\sqrt{\frac{\lambda_1}{\lambda_3}}$
"KinFlowRatio23"	KVFlowTensor::kKinFlowRatio23	$\sqrt{\frac{\lambda_2}{\lambda_3}}$
"PhiReacPlane"	KVFlowTensor::kPhiReacPlane	$\phi$ angle of $\vec{e_1}$
"SqueezeAngle"	KVFlowTensor::kSqueezeAngle	see Gyulassy et al
"SqueezeRatio"	KVFlowTensor::kSqueezeRatio	see Gyulassy et al
"NumberParts"	KVFlowTensor::kNumberParts	number of particles used in tensor

Returns: value associated with given index

Implements KVVarGlob.

Definition at line 133 of file KVFlowTensor.cpp.

◆ GetValueType()

Char_t KVFlowTensor::GetValueType ( Int_t i ) const

inlinevirtual

Reimplemented from KVVarGlob.

Definition at line 171 of file KVFlowTensor.h.

◆ HasNaNElements()

Bool_t KVFlowTensor::HasNaNElements ( ) const

inline

check all elements of tensor are valid numbers

Definition at line 161 of file KVFlowTensor.h.

◆ Init()

void KVFlowTensor::Init ( void )

virtual

Initialisation of internal variables, called once before beginning treatment.

Implements KVVarGlob.

Definition at line 90 of file KVFlowTensor.cpp.

◆ init_KVFlowTensor()

void KVFlowTensor::init_KVFlowTensor ( )

private

Common initialisation for all constructors

Default frame is set to "CM".

Default weight is set to NRKE if none was given by calling method SetOption("weight","[your choice]") with one of the following choices:

Option	Name	Weight
"NRKE"	non-relativistic KE tensor (default)	$w_{\nu}=(2m_{\nu})^{-1}$
"RKE"	relativistic KE tensor	$w_{\nu}={1 \over {m_{\nu}(\gamma_{\nu}+1)}}$
"ONE","1",""	sphericity tensor	$w=1$

Default maximum number of branches for TTree is 3: FlowAngle, Sphericity, and Coplanarity

Definition at line 295 of file KVFlowTensor.cpp.

◆ operator+=()

KVFlowTensor& KVFlowTensor::operator+= ( const KVFlowTensor & other )

inline

Add all components of tensor in other to this one, and increase number of particles included in tensor by the number in other

Definition at line 142 of file KVFlowTensor.h.

◆ operator=()

KVFlowTensor & KVFlowTensor::operator= ( const KVFlowTensor & a )

Operateur =.

Definition at line 77 of file KVFlowTensor.cpp.

◆ Print()

void KVFlowTensor::Print ( Option_t * opt = "" ) const

virtual

if opt="tensor", just print contents of tensor

Reimplemented from KVBase.

Definition at line 434 of file KVFlowTensor.cpp.

◆ Reset()

void KVFlowTensor::Reset ( void )

virtual

Reset internal variables, called before treatment of each event.

Implements KVVarGlob.

Definition at line 106 of file KVFlowTensor.cpp.

Member Data Documentation

◆ fAziReacPlane

TRotation KVFlowTensor::fAziReacPlane

private

azimuthal rotation around beam axis to reaction plane

Definition at line 95 of file KVFlowTensor.h.

◆ fCalculated

Bool_t KVFlowTensor::fCalculated

private

Definition at line 102 of file KVFlowTensor.h.

◆ fCoplanarity

Double_t KVFlowTensor::fCoplanarity

private

Definition at line 100 of file KVFlowTensor.h.

◆ fEVal

TVectorD KVFlowTensor::fEVal

mutableprivate

the 3 eigenvalues

Definition at line 85 of file KVFlowTensor.h.

◆ fEVec

TVector3 KVFlowTensor::fEVec[3]

mutableprivate

the 3 eigenvectors

Definition at line 86 of file KVFlowTensor.h.

◆ fFlowReacPlane

TRotation KVFlowTensor::fFlowReacPlane

private

rotate XZ to reaction plane, then align Z with flow axis

Definition at line 96 of file KVFlowTensor.h.

◆ fNParts

Int_t KVFlowTensor::fNParts

private

number of particles included in tensor

Definition at line 101 of file KVFlowTensor.h.

◆ fSphericity

Double_t KVFlowTensor::fSphericity

private

Definition at line 99 of file KVFlowTensor.h.

◆ fSqOutRatio

Double_t KVFlowTensor::fSqOutRatio

private

Gutbrod squeeze-out ratio.

Definition at line 98 of file KVFlowTensor.h.

◆ fSqueezeAngle

Double_t KVFlowTensor::fSqueezeAngle

private

Gutbrod squeeze angle.

Definition at line 97 of file KVFlowTensor.h.

◆ fTensor

TMatrixDSym KVFlowTensor::fTensor

private

the tensor

Definition at line 79 of file KVFlowTensor.h.

◆ sum_val_prop

Double_t KVFlowTensor::sum_val_prop

private

Definition at line 103 of file KVFlowTensor.h.

◆

enum { ... } KVFlowTensor::weight

The documentation for this class was generated from the following files:

kaliveda.doxygen/KVMultiDet/globvars/KVFlowTensor.h
kaliveda.doxygen/KVMultiDet/globvars/KVFlowTensor.cpp

Option Name	Option type	Function
"weight"	string	Determine weight \(w_{\nu}\)
"DOUBLE"	any	Double weight of all particles

Option	Name	Weight
"NRKE" [default]	non-relativistic KE tensor	\(w_{\nu}=(2m_{\nu})^{-1}\)
"RKE"	relativistic KE tensor	\(w_{\nu}={1 \over {m_{\nu}(\gamma_{\nu}+1)}}\)
"ONE","1",""	sphericity tensor	\(w=1\)

Name	Index	Definition
"FlowAngle"	KVFlowTensor::kFlowAngle	polar angle of \(\vec{e_1}\)
"Sphericity"	KVFlowTensor::kSphericity	\(\frac{3}{2}(1-\lambda_1)\)
"Coplanarity"	KVFlowTensor::kCoplanarity	\(\frac{\sqrt{3}}{2}(\lambda_2-\lambda_3)\)
"NumberParts"	KVFlowTensor::kNumberParts	number of particles used in tensor
"KinFlowRatio13"	KVFlowTensor::kKinFlowRatio13	\(\sqrt{\frac{\lambda_1}{\lambda_3}}\)
"KinFlowRatio23"	KVFlowTensor::kKinFlowRatio23	\(\sqrt{\frac{\lambda_2}{\lambda_3}}\)
"PhiReacPlane"	KVFlowTensor::kPhiReacPlane	\(\phi\) angle of \(\vec{e_1}\)
"SqueezeAngle"	KVFlowTensor::kSqueezeAngle	see Gyulassy et al
"SqueezeRatio"	KVFlowTensor::kSqueezeRatio	see Gyulassy et al

Available Options

Weight options

Derived shape variables and related values

Public Types

Public Member Functions

Protected Member Functions

Private Types

Private Member Functions

Private Attributes

Additional Inherited Members

Member Enumeration Documentation

◆ anonymous enum

◆ anonymous enum

Constructor & Destructor Documentation

◆ KVFlowTensor() [1/3]

◆ KVFlowTensor() [2/3]

◆ KVFlowTensor() [3/3]

◆ ~KVFlowTensor()

Member Function Documentation

◆ Calculate()

◆ Copy()

◆ e()

◆ f()

◆ fill()

◆ GetAziReacPlaneRotation()

◆ GetFlowReacPlaneRotation()

◆ GetNormalisedEigenValue()

◆ getvalue_int()

◆ GetValueType()

◆ HasNaNElements()

◆ Init()

◆ init_KVFlowTensor()

◆ operator+=()

◆ operator=()

◆ Print()

◆ Reset()

Member Data Documentation

◆ fAziReacPlane

◆ fCalculated

◆ fCoplanarity

◆ fEVal

◆ fEVec

◆ fFlowReacPlane

◆ fNParts

◆ fSphericity

◆ fSqOutRatio

◆ fSqueezeAngle

◆ fTensor

◆ sum_val_prop

◆